李群 教授
力学专业博士生导师
西安交通大学航天学院 副院长
陕西省无损检测与结构完整性评价工程技术研究中心 副主任
联系方式
Email:qunli@mail.xjtu.edu.cn
TEL: QQ:**
办公室：教一楼南415
通信地址：西安交通大学航天航空学院工程力学系，710049
学习经历
? 1998.09–2002. 06西安交通大学/建筑工程与力学学院工程力学本科
? 2002.09–2005. 03西安交通大学/航天航空学院固体力学硕士
? 2005.03–2008. 03西安交通大学/航天航空学院固体力学博士
工作经历
? 2008.7-2010.8，德国TU Freiberg“洪堡”****，合作教授：Meinhard Kuna；
? 2010.9-2011.7，美国宾夕法尼亚州立大学Postdoc Fellow，合作教授:Long-Qing Chen；
? 2014.6-2014.9,德国锡根大学洪堡高级访问****，合作教授：ChuanZeng Zhang；
? 2011.7-2017.12，任西安交通大学航天航空学院 副教授；
?2018-至今，任西安交通大学航天航空学院 教授；
主要研究领域
1. 工程结构材料的断裂与破坏
2. 材料构型力学理论和实验研究
3. 数字散斑相关测量方法研究
4.智能材料与结构力学
6. 石油管材/固发推进剂/核弥散燃料的失效分析
获奖情况
陕西高等学校科学技术奖一等奖 2014 陕西省教育厅
陕西省科学技术奖一等奖 2015 陕西省
全国百篇优秀博士学位论文提名 2010 教育部和国务院学位委员会
德国洪堡奖学金 2008 德国洪堡基金会
陕西省普通高等学校优秀毕业生 2008 陕西省教育厅
唐照千优秀博士生特等奖学金 2008 西安交通大学
唐文治特别优秀研究生奖学金 2007 西安交通大学
研究团队
2017朱雀行
美国宾夕法尼亚（PSU）研究访问
德国TU Freiberg研究访问
2009年与导师相遇于柏林‘洪堡年会’
站点计数器
个人信息 - 李 群主要任职
李群 教授
力学专业博士生导师
西安交通大学航天学院 副院长
陕西省无损检测与结构完整性评价工程技术研究中心 副主任
联系方式
Email:qunli@mail.xjtu.edu.cn
TEL: QQ:**
办公室：教一楼南415
通信地址：西安交通大学航天航空学院工程力学系，710049
学习经历
? 1998.09–2002. 06西安交通大学/建筑工程与力学学院工程力学本科
? 2002.09–2005. 03西安交通大学/航天航空学院固体力学硕士
? 2005.03–2008. 03西安交通大学/航天航空学院固体力学博士
工作经历
? 2008.7-2010.8，德国TU Freiberg“洪堡”****，合作教授：Meinhard Kuna；
? 2010.9-2011.7，美国宾夕法尼亚州立大学Postdoc Fellow，合作教授:Long-Qing Chen；
? 2014.6-2014.9,德国锡根大学洪堡高级访问****，合作教授：ChuanZeng Zhang；
? 2011.7-2017.12，任西安交通大学航天航空学院 副教授；
?2018-至今，任西安交通大学航天航空学院 教授；
主要研究领域
1. 工程结构材料的断裂与破坏
2. 材料构型力学理论和实验研究
3. 数字散斑相关测量方法研究
4.智能材料与结构力学
6. 石油管材/固发推进剂/核弥散燃料的失效分析
获奖情况
陕西高等学校科学技术奖一等奖 2014 陕西省教育厅
陕西省科学技术奖一等奖 2015 陕西省
全国百篇优秀博士学位论文提名 2010 教育部和国务院学位委员会
德国洪堡奖学金 2008 德国洪堡基金会
陕西省普通高等学校优秀毕业生 2008 陕西省教育厅
唐照千优秀博士生特等奖学金 2008 西安交通大学
唐文治特别优秀研究生奖学金 2007 西安交通大学
研究团队
2017朱雀行
美国宾夕法尼亚（PSU）研究访问
德国TU Freiberg研究访问
2009年与导师相遇于柏林‘洪堡年会’
站点计数器
科学研究 - 李 群主要任职
李群 教授
力学专业博士生导师
西安交通大学航天学院 副院长
陕西省无损检测与结构完整性评价工程技术研究中心 副主任
联系方式
Email:qunli@mail.xjtu.edu.cn
TEL: QQ:**
办公室：教一楼南415
通信地址：西安交通大学航天航空学院工程力学系，710049
在研项目
主持项目：
[1]非均质材料断裂问题的构型力理论（**）, 2018.1-2021.12，国家自然科学基金面上项目
[2] 基于构型力学描述材料损伤和失效的新准则（**）, 2015.1-2018.12，国家自然科学基金面上项目；
[3] 基于微观组织演化的多晶铁电材料断裂行为及构型力研究(**)，2013.1-2015.12，国家自然科学基金青年项目；
[4] 考虑壁厚效应、温度效应的三维弹塑性断裂韧度研究(GC-WT-2016-15), 2016.1-2016.12, 中国石油集团石油管工程技术研究院
[5] 某扫描平台分析与仿真研究，2013.5-2014.3，西安现代控制技术研究所；
[6] 微电畴偏转下的铁电裂纹扩展问题研究（2013回国基金17），2013.07-2014.07，教育部留学回国基金；
[7] 页岩气储层水力压裂技术的优化设计（2014K10-16），2014.1-2015.12, 陕西省教育厅,工业攻关；
[8] 某扫描平台分析与仿真研究（2014XT-08），2014.1-2015.12, 陕西省教育厅,协同创新；
[9] 固体氧化物燃料电池微结构演化的相场法模拟，2013.1-2014.12，西安交通大学自由探索与自主创新类项目；
[10] 多晶铁电穿晶裂纹和沿晶裂纹的构型力研究，2013.1-2014.12，西安交通大学国际科技合作项目；
[11] 铁电多晶材料的断裂损伤微观数值模拟，2012.1-2014.12，西安交通大学“新教师科研支持计划”；
[12] 页岩气储层水力压裂的裂纹缝网形成机理研究，2013.12-2015.12，西安交通大学机械结构强度与振动国家重点实验室优秀人才课题；
参与项目：
[13] 材料构型力学理论和实验研究(**)，2010.1-2013.12，国家自然科学基金重点项目
[14] 轻质非均匀介质的力学行为(**)，2013.1-2016.12，国家自然科学基金创新群体
[15] 非均匀电蠕变导致裂纹尖端铁电畴反转及发射机理研究(**)，2013.1-2016.12，国家自然科学基金面上项目
发表论文与申请专利
[1]古斌，郭宇立，李群，基于构型力断裂准则的裂纹与夹杂干涉问题研究，力学学报，2017，
[2]余力，吕俊男，杜伟，李群，金属材料三维断裂韧度厚度效应的有限元模拟，固体力学学报，2017
[3]李群, 欧卓成, 陈宜亨.《高等断裂力学》, 科学出版社, 2016
[4]Qun Li, JunNan Lv, Yuli Guo, XinPeng Tian. A consistent framework of material configurational mechanics in piezoelectric materials. Acta Mechanical, DOI: 10.1007/s00707-017-1966-5
[5]Q. Li*, Y.L. Guo, J.L. Hou, W.J. Zhu, The M-Integral based failure description on elasto-plastic materials with defects under biaxial loading, Mechanics of Materials 112 (2017) 163-171. IF=2.651
[6]YuLi Guo, Qun Li*, Material configurational forces applied to mixed mode crack propagation, Theoretical and Applied Fracture Mechanics, 2017, 89::147-157 IF=2.025
[7]Qun Li*, Junnan Lv, Invariant integrals of crack interaction with an inhomogeneity, Engineering Fracture Mechanics, 171 (2017) 76-84 IF=2.195
[8]Rong Wang, Hong Zuo, Yi-Min Yang, Bo Yang, Qun Li*. Finite element simulation and optimization of radial resistive force for shape memory alloy vertebral body stent, Journal of Intelligent Material Systems and Structures, 2016, DOI: 10.1177/**X**, IF=2.255
[9]Junnan Lv, XueLing Fan, Qun Li*, The impact of the growth of thermally grown oxide layer on the propagation of surface cracks within thermal barrier coatings, Surface & Coatings Technology, 309 (2017) 1033-1044 IF:2.139 IDS 号: EN7LN
[10]Suxin Pan, Qida Liu, Qun Li*, Ferroelectric creep associated with domain switching emission in the cracked ferroelectrics, Computational Materials Science, DOI information: 10.1016/j.commatsci.2017.08.048
[11]JunNanLv, Qun Li*, Equivalent configurational stress to predict material yielding and crack propagation, 2016, Acta Mechanica, 227 (10): 3055-3065 IDS 号: DY5JV IF=1.694
[12]Qun Li, Linyun Liang, Kirk Gerdes and Long-Qing Chen, Phase-field modeling of three-phase electrode microstructures in solid oxide fuel cells, Applied Physics Letters, 101, 033909, 2012.
[13]Yifeng Hu, Qun Li Junping Shi, and Yiheng Chen, Surface/interface effect and size/configuration dependence on the energy release in nanoporous membrane, Journal of Applied Physics, 112, 034302, 2012
[14]Qun Li, Yi-Feng Hu and Yi-Heng Chen, On the Physical Interpretation of the M-integral in Nonlinear Elastic Defect Mechanics, International Journal of Damage Mechanics, DOI: 10.1177/56860,2012
[15]Ning-Yu Yu. Qun Li and Yi-Heng Chen, Experimental evaluation of the M-integral in an elastic-plastic material containing multiple defects, J. Appl. Mech. 80, 011021 (2013)
[16]JianJun Wang, Saswata Bhattacharyya, Qun Li, Tae Wook Heo, XingQiao. Ma and Long-Qing Chen, Elastic solutions with arbitrary elastic inhomogeneity and anisotropy, Philosophical Magazine Letters, 2012, 1–9, iFirst
[17] Qun Li and Meinhard Kuna, Evaluation of electromechanical fracture behavior by configurational forces in cracked ferroelectric polycrystals, Computational Materials Science, 2012, 57, 94–101.
[18] Ningyu Yu and Qun Li, Yiheng Chen, Measurement of the M-integral for a Hole in an Aluminum Plate or Strip, Experimental Mechanics,52(7),855-863, 2012.
[19] Qun Li Meinhard Kuna, Inhomogeneity and material configurational forces in three dimensional ferroelectric polycrystals, European Journal of Mechanics A/Solids 2012, 31: 77-89.
[20] Qun Li, Andreas Ricoeur and Meinhard Kuna, Coulomb traction on a penny-shaped crack in a three dimensional piezoelectric body, Archive of Applied Mechanics, 2011, 81: 685–700
[21]Qun Li, Andreas Ricoeur, Marco Enderlein and Meinhard Kuna: Evaluation of electromechanical coupling effect by microstructural modeling of domain switching in ferroelectrics. Mechanics Research Communications, 2010, 37: 332–336
[22] Qun Li and YiHeng Chen: Inherent relations between the Bueckner integral and the Jk-integral or the M-integral in multi-defects damaged piezoelectric materials. Acta Mech, 2009, 204:125-136
[23] Qun Li and YiHeng Chen: The Coulombic traction on the surfaces of an interface crack in dielectric /piezoelectric or metal/piezoelectric bimaterials. Acta Mechanica, 2009, 202:111–126
[24] Qun Li and YiHeng Chen: Investigation of the crack problem in non-local piezoelectric materials under combined electromechanical loadings. Acta Mech Sin., 2009, 25:219–225
[25] Qun Li and YiHeng Chen: Surface effect and size dependence on the energy release due to a nanosized hole expansion in plane elastic materials. ASME Journal of Applied Mechanics, NOVEMBER 2008, 75: 061008-1(5pp)
[26] Qun Li and YiHeng Chen: Why traction-free? Piezoelectric crack and Coulombic traction. Arch Appl Mech, 2008, 78: 559–573.
[27] Qun Li and YiHeng Chen: The role played by the Coulombic traction for an interface crack in dissimilar piezoelectric materials. Smart Materials and Structures, 2008, 17:017001(7pp).
[28] Qun Li and YiHeng Chen: Solution for a semi-permeable interface crack in elastic dielectric /piezoelectric bimaterials. ASME Journal of Applied Mechanics, January 2008, 75(1): 011010
[29] Qun Li and YiHeng Chen, Hui Tong: Analysis of the invariant integrals in plane elasticity containing a nanosized hole. Acta Mech 2008, 199:143–150
[30] Qun Li and YiHeng Chen: Solution for a semi-permeable interface crack between two dissimilar piezoelectric materials. ASME Journal of Applied Mechanics, 2007, 74: 833-844.
[31] Qun Li and YiHeng Chen: Analysis of Crack-tip singularities for an interfacial permeable crack in metal/piezoelectric bimaterials. Acta Mechanica Solida Sinica, 2007, 20(3): 247-257.
[32] Qun Li and YiHeng Chen: Analysis of a permeable interface crack in elastic dielectric/piezoelectric bimaterials. Acta Mechanica Sinica, 2007, 23:681-687.
[33] Qun Li and YiHeng Chen: The Bueckner work conjugate integral for a permeable crack in piezoelectric materials. Acta Mechanica, 2007, 190: 237-243
[34] Qun Li, Suxin Pan, Qida Liu and Jie Wang, Domain switching emission from the mixed mode crack in ferroelectrics by birefringence measurement and phase ?eld modeling, Smart Mater. Struct. 25 (2016) 07LT01 (7pp)
[35] Qun Li*, Junnan Lv, Invariant integrals of crack interaction with an inhomogeneity, Engineering Fracture Mechanics, 2016, DOI: 10.1016/j.engfracmech.2016.12.013.
[36] Qun Li, Junnan Lv, JunLing Hou, Hong Zuo, Crack-tip shielding by the dilatant transformation of particles/fibers embedded in composite materials, Theoretical and Applied Fracture Mechanics, 80: 242–252 (2015)
[37] Qun Li* Andreas Ricoeur, Meinhard Kuna. Coulomb traction on a penny-shaped
[38] 李 群,张 阳,雷永信,周思渊.无伞双翼末敏弹翼片安装角对其稳态扫描作战指标的影响.弹道学报(03):1-7 (2016)
[39] 李群*，材料构型力学及其在复杂缺陷系统中的应用，力学学报，47 (2): 197-214 (2015)。
[40] Junnan Lv, XueLing Fan, Qun Li*, The impact of the growth of thermally grown oxide layer on the propagation of surface cracks within thermal barrier coatings, Surface & Coatings Technology, 2016, DOI information: 10.1016/j.surfcoat.2016.10.039 IF:2.139
[41] JunNanLv, Qun Li*, Equivalent configurational stress to predict material yielding and crack propagation, Acta Mechanica, 227 (10): 3055-3065(2016)
[42] NingYu Yu, Qun Li*. Failure theory via the concept of material configurational forces associated with the M-integral. International Journal of Solids and Structures. 50: 4320-32(2013).
[43] NingYu Yu. Qun Li*, YiHeng Chen. Experimental evaluation of the M-integral in an elastic-plastic material containing multiple defects. ASME J. Appl. Mech. 80: 011021 (2013).
[44] SuXin Pan, YiFeng Hu, Qun Li*. Numerical simulation of mechanical properties in nanoporous membrane. Computational Materials Science. 79:611-618 (2013).
[45] Junling Hou, Qun Li*, Junnan Lv, Hong Zuo, Crack deflection by the transformable particles dispersed in composites, Acta Mechanica, 227(3):743-756, (2016)
[46] Junling Hou, Qun Li*, Guangyan Liu, Hong Zuo, Fundamental solutions of a crack impinging upon an interface slippage in laminated anisotropic bodies, (86):1-14, Archive of Applied Mechanics. 2015
[47] Yu-Li Guo, Qun Li*, On some fundamental properties of the L-integral in plane elasticity, Acta Mechanica, 226(1): 137-148. (2015)
[48] Rong Wang, Hong Zuo, Yi-Min Yang, Bo Yang, Qun Li*. Finite element simulation and optimization of radial resistive force for shape memory alloy vertebral body stent, Journal of Intelligent Material Systems and Structures, 2016
[49] 于宁宇, 李群*, M 积分与夹杂/缺陷弹性模量的显式关系，力学学报，46(1):87-93(2014)
[50] 于宁宇，李群*，基于数字散斑相关实验测量的材料构型力的计算方法，实验力学，29(5):579-588 (2014)
[51] Qun Li, Numerical simulation of domain switching in multilayer ferroelectric actuators, Theoretical & Applied Mechanics Letters 6:268-273 (2016)
[52] Guozhen Liu, Qingyu Lei, Matth?us A. Wolak, Qun Li, Long-Qing Chen, Christopher Winkler, Jennifer Sloppy, Mitra L. Taheri and Xiaoxing Xi， Epitaxial strain and its relaxation at the LaAlO3/SrTiO3 Interface, J. Appl. Phys. 120, 085302 (2016)。
[53] Linyun Liang; Qun Li; Jiamian Hu; Shiwoo Lee; Gerdes, K.; Long-Qing Chen，Phase field modeling of microstructure evolution of electrocatalyst/infiltrated solid oxide fuel cellcathodes, Journal of Applied Physics 117( 6): 065105(2015)
[54] JianJun Wang, XingQiao Ma, Qun Li, Jason Britson, Long-Qing Chen. Phase Transitions and Domain Structures of Ferroelectric Nanoparticles：Phase-field Model Incorporating Strong Elastic and Dielectric Inhomogeneity. Acta Materialia, 61(20): 7591-7603 (2013).
申请发明技术专利
• 于宁宇，李群，陈宜亨，专利申请号：CN8.7，弹性缺陷材料M积分的无损测量方法。
• 于宁宇，李群，陈宜亨，专利申请号：CN0.9，基于数字图像相关的塑性多缺陷材料M积分测量方法。
科研获奖
基于材料构型力学描述多缺陷损伤的新体系及其应用 陕西省科学技术奖（自然科学）， 一等奖， 2015年，（第二完成人）
教学工作 - 李 群基本信息
李群 教授
力学专业博士生导师
西安交通大学航天学院 副院长
陕西省无损检测与结构完整性评价工程技术研究中心 副主任
联系方式
Email:qunli@mail.xjtu.edu.cn
TEL: QQ:**
办公室：教一楼南415
通信地址：西安交通大学航天航空学院工程力学系，710049
讲授课程
讲授课程：《高等断裂力学》，2学分，40学时，研究生课程，秋上，面向全校研究生。
课程编码： 062020
课程名称：高等断裂力学
课程名称：Advanced Fracture Mechanics
学分数：2
课内总学时数：40
上机（实验）学时数：
课程内容简介：
主要介绍各向同性材料、各向异性材料和各向同性双材料界面断裂力学的数学理论及该领域国内外研究进展。其中主要包括特征展开理论、复势理论，积分变换方法，保角变换方法和奇异积分方程等数学理论和方法在断裂力学中的应用，以及近代断裂力学的一系列重要成果和发展状况等。
先修课:弹性力学，工程断裂力学
参考书目：
１． Kanninen MF and Popelar CF, Advanced Fracture Mechanics, Oxford University Press, New York. 1985
２． 李群，欧卓成，陈宜亨，《高等断裂力学》，2017，科学出版社
教学大纲
第一章 绪论
1.1 断裂力学的产生
1.2 断裂力学发展概况
1.3断裂力学的研究方法
1.4断裂力学的主要任务
第二章 数学弹性力学基础
2.1 弹性力学基本理论
2.2复变函数基本概念
第三章 复势理论的特征展开
3.1 Williams 特征展开理论及Irwin断裂理论
3.2 特征展开的性质及Bueckner-Rice权函数
第四章 柯西积分和Riemann-Hilbert问题
4.1 基本概念(第一类Cauchy积分方程，第二类积分方程)
4.2 Cauchy积分介绍
4.3齐次Riemann-Hilbert问题
4.4 非齐次Riemann-Hilbert问题
4.5 一个常用线积分的计算
4.6无限大平面有限裂纹问题
第五章 积分变换方法和对偶积分方程
5.1 Fourier变换及其性质
5.2 Hankel变换
5.3 混合边值问题(III型共线裂纹问题)
第六章 界面断裂力学基础
6.1 界面裂纹复势的特征展开
6.2 界面单裂纹问题
6.3界面裂纹的Comninou 模型
第七章 复合材料断裂力学基础
7.1各向异性线弹性体平面裂纹问题
7.2特征展开与路径无关积分
7.3多裂纹问题
第八章 压电/铁电智能材料断裂力学
8.1压电材料的基本理论
8.2 压电体的通用裂纹解
第九章 断裂力学中的数值计算方法
9.1 应力强度因子计算
9.2 能量释放率计算
9.3 J积分计算
讲授课程：《损伤力学》
课程内容简介：
1.损伤变量、有效应力和有效应变
2.损伤力学的热力学理论
3.经典损伤模型（脆性损伤、韧性损伤、蠕变损伤、疲劳损伤）
4.基于损伤的断裂力学
5.细观损伤力学
6.损伤实验测量
7.Gurson模型及其FEM实施演示
8.文献阅读报告
讲授课程：《工程结构建模与力学设计》
英文名称：Project of Engineering Structure and Mechanics
课程编号：ITDE400106
学时：48 （理论学时：16; 上机学时：16学时；讨论学时：16学时）
学分：2
适用对象：力学
先修课程：材料力学、理论力学、有限元
使用教材及参考书：
[1] 卓家寿 等，力学建模导论， 北京：科学出版社，2007
课程内容简介（200字左右）
“工程结构建模与力学设计”（2学分）为综合性力学设计类实践学习环节（一般包括资料搜集、选题论证、项目计划、力学建模、理论分析、程序编制、数值计算、验证实验、强度或振动设计、成果总结和交流等），旨在锻炼和提高学生独立自主进行专业知识与科学或工程技术相结合的实践能力。遵照“力学项目设计课程实践大纲”，在教师指导下主要由学生独立自主完成，教师的职责为确定项目主体，引导和审查学生自拟题目与项目计划，过程辅导，掌握流程进度，组织研讨、成果交流和成绩考核等，学生的职责为查阅资料，自拟题目，独立分析计算、实验、设计，参加交流研讨活动，撰写成果总结报告，通过考核获得学分。
招生信息 - 李 群基本信息
李群 教授
力学专业博士生导师
西安交通大学航天学院 副院长
陕西省无损检测与结构完整性评价工程技术研究中心 副主任
联系方式
Email:qunli@mail.xjtu.edu.cn
TEL: QQ:**
办公室：教一楼南415
通信地址：西安交通大学航天航空学院工程力学系，710049
招生信息
课题组招生研究生
课题组招收硕士和博士研究生，欢迎力学、机械、材料等相关专业报考本课题组。
招生方向：
080102 固体力学
01 固体变形、损伤与断裂
考试科目：
① 101 思想政治理论
② 201 英语一
③ 301 数学一
④ 816 工程力学（含理论力学、材料力学）
复试说明：复试科目振动力学或弹性力学
参考书：《振动力学》西安交大出版社，倪振华 ;《振动力学》机械工业出版社1996 年，郑兆昌;
《弹性力学》（上册）高等教育出版社，徐芝纶;《弹性力学》西安交大出版社，王子昆;
085233 航天工程(专业硕士)
不分方向
① 101 思想政治理论
② 204 英语二
③ 302 数学二
④ 816 工程力学（含理论力学、材料力学）
复试说明：复试科目振动力学 参考书：《振动力学》倪振华 西安交通大学出版社。
课题组招生调剂研究生：达到原报考学院（特指我校机械、能动、电气、电信、化工、材料等）相应类型（学术型、专业学位）复试分数线。
免试生
西安交通大学2014年
接收外校免试攻读硕士学位研究生办法
西交研〔2013〕71号
一、申请条件
1．政治态度端正，思想意识健康，遵纪守法，诚实守信，学风端正，品行优良，无任何学术不端行为记录，无任何违纪行为记录；
2．获得所在学校推荐免试资格；
3. 所在学校一般应是“
满足上述条件者，在国家级竞赛中获得较高层次奖励、在公开刊物已发表过论文或有社会实践经历且获得优良评价者优先接收。
二、申请材料
1．《西安交通大学2014年接收外校推荐免试攻读硕士学位研究生申请表》（学术型学位、专业学位）；
2．加盖申请人所在学校教务处公章的本科正式成绩单；
3．英语等级证书复印件；
4．在校期间，如获得过奖励、发表学术论文、出版物或其它学术工作成果、社会实践鉴定等，请提供相应复印件或证明。
三、申请、接收办法
1．从
2．于
3． 获得学术型免试资格且被我校录取的免试生原则上均按长学制研究生培养，不愿按长学制培养者应在申请表中注明，或申请免试攻读我校相关领域硕士专业学位
4． 获得专业学位免试资格的学生，可申请免试攻读我校硕士专业学位（除工商管理硕士、公共管理硕士及工程管理硕士），专业学位种类（领域）请查看我校专业学位招生目录。
5．申请材料经各学院招生工作组初审后，通知申请人在规定时间内进行复试。
6．对通过复试并同意接收的外校优秀应届本科毕业生，由学院凭面试记录表到研招办开具接收函。
7．被我校接收的推免生凭接收函到所在学校研招办领取本人所在省（市）高校招生办公室签发的《全国推荐免试攻读硕士学位研究生（直博生）登记表》（封面上须有当地省级招生办盖章）。于11月20前将《推荐免试硕士生报名登记表》、在校历年成绩单、体检表（可在当地或我校参加体检）用中国邮政快递（EMS）邮寄或送至西安交通大学研招办。
8．已被我校接收的外校推免生，仍须参加全国硕士研究生统一报名。报名分网报及现场确认两个步骤。网报需登录中国研究生招生信息网（http://yz.chsi.cn或http://yz.chsi.com.cn）；现场确认时，陕西省内学校的学生来我校宪梓堂办理，外省学生到所在学校报名点办理，未办理正式报名手续者不能被录取。报名时间以教育部文件为准。
9．为方便外省（市）学生复试，我校部分学院会在全国部分地区或院校设点复试，符合我校接收条件者，可与相关学院联系，携带申请材料就近参加复试，具体时间、地点及要求请于9月下旬留意欲申报学院网上通知和我校研招网（http://gs.xjtu.edu.cn/zhaos）发布的信息。
四．其它
1． 已被我校接收的推荐免试生，须保证不再擅自办理出国手续，不再列入就业计划，并不再次报名参加硕士生入学统一考试；
2． 如在2014年7月底前不能按期获得学士学位或必修课不及格或体检不合格者，将被取消录取资格。
3．如申请人提供的信息和材料不真实或存在诚信问题，任何时候一经发现将取消申请人录取资格或学籍，后果由申请人本人负责。
4．申请材料请自留备份，一经提交，恕不退还。
联合培养招生项目
西安交通大学—香港城市大学联合培养研究生项目 一.申请资格
1.入学希望直读博士学位的有关学科在学的硕士生(包括硕博连读生)；
2.已修课程成绩符合要求；
3.达到香港城市大学规定的最低英文水平要求：取得(i)托福考试(TOEFL)至少550分之成绩(即托福计算机考试至少213分)，或(ii)雅思国际英语语言测试(IELTS)总级别至少6.5，或(iii) College English Test Band 6(CET-6)至少490分，或(iv)通过西安交大研究生英语课程测试。
二.学习地点与安排
联合博士培养项目的修读年限一般为五年。原则上学生第一学年在西安交大修读并完成公共必修课和学科基础课程，第二至第五学年按以下学习模式，修读部分专业课及完成学位论文。
学年 学习地点
第一学年 西安交大
于城大注册入读联培计划
第二学年 西安交大
第三学年 城大（香港本部）
第四学年 西安交大
第五学年 城大深圳研究院
西安交通大学—德国弗莱贝格工业大学联合培养Master项目
详情见：http://imfd.tu-freiberg.de/cms
诚聘专职科研人员 - 李 群主要任职
李群 教授
力学专业博士生导师
西安交通大学航天学院 副院长
陕西省无损检测与结构完整性评价工程技术研究中心 副主任
联系方式
Email:qunli@mail.xjtu.edu.cn
TEL: QQ:**
办公室：教一楼南415
通信地址：西安交通大学航天航空学院工程力学系，710049
Poster
西安交通大学航天航空学院
李群教授课题组诚聘专职科研人员
一、招聘方向
(1) 力学：断裂、损伤、疲劳、失效分析等；
(2) 结构可靠性分析、完整性评价等；
(3) 航空宇航科学与技术（飞行器结构强度）；
二、应聘条件
(1) 在国内外著名高校毕业，具有力学、航空宇航、材料、机械等相关专业的博士学位或者近期内能顺利完成博士论文答辩者；
(2) 具有较好的英文科技论文写作能力和交流能力；
(3) 勤奋进取，认真踏实，积极主动，较强的科研创新能力和良好团队协作精神，能独立开展课题研究；
(4) 以第一作者在最具学术影响力期刊上发表论文至少1篇；或以第一作者发表SCI论文至少2篇；或具有显著工程能力（经认定）；
(5) 年龄一般不超过35岁。
三、相关待遇
(1) 特别资助博士后年薪不低于33万元/年，专职科研不低于21万元/年+绩效。
(2) 提供公寓住房。
(3) 享受本校教职工子女入托入学政策。
(4) 代缴社会保险和住房公积金。
(5) 更多工作及生活相关待遇的具体政策请查阅人力资源部网站：http://hr.xjtu.edu.cn/info/1044/4744.htm
四、招聘办法及要求
请将以下材料发送至 qunli@mail.xjtu.edu.cn，邮件主题格式为：专职科研应聘-姓名--毕业学校--专业。
申请者请提交以下申请材料：
(1) 个人简历（包括个人基本信息、学习工作经历、科研成果等）；
(2) 博士学位证书（暂未取得学位证书的应届生须提交所在单位证明，说明证书授予时间）；
(3) 能证明个人能力、水平的相关材料，如发表论文电子版、证书、科研成果目录、博士学位论文等。
五、联系方式
联系人：李群， http://gr.xjtu.edu.cn/web/qunli
电话：
Email：qunli@mail.xjtu.edu.cn
通讯地址：陕西省西安市咸宁西路28号西安交通大学航天学院
邮编：710049
Post-Doctoral Research Opportunities in Prof. Qun Li’s Group, School of Aerospace, Xi’an Jiaotong University
Research Area:
l Mechanics: Fracture, Damage, Fatigue, Failure, etc.
l Reliability Analysis, Integrality Assessment, etc.
l Aeronautical and Astronautical Science and Technology (Structure Strength of Flight Vehicle).
Qualifications/Requirements:
l PhD degree or has qualifications for PhD defense, in Mechanics, Aeronautical and Astronautical Science and Technology, Materials, Mechanical Design or/and Manufacturing, etc., graduated from famous universities at home and abroad.
l Good English skill in speaking and writing.
l Diligent, conscientious, proactive, team working, good ability and strong willingness to do research innovatively and independently.
l Good publication records: one or more papers published in journals with most academic influence, or at least two papers included in SCI where the applicant is the first author. Or significant engineering capabilities (identified).
l No more than thirsty-five years old.
We Offer:
u Minimum of 330,000 RMB (Annual Salary) for the Special Supported Postdoctoral Fellow, and Minimum of 210,000 RMB (Annual Salary) for the Full-time Postdoctoral Research Fellows, accompanied with performance-related pay.
u Apartment for Postdoctoral Fellows.
u Enjoy the same school admission policy provided for the children of faculty and staff of the school.
u More details about the welfare and policy can refer to the website as follow: http://hr.xjtu.edu.cn/info/1044/4744.htm
Application Materials:
Please send the following materials to qunli@mail.xjtu.edu.cn with the email subject in following form: Postdoctoral Application-Name-Graduation School-Major.
l CV (including personal introduction, education and working experience, and research achievements, etc.)
l Certificate for Doctor’s Degree (or Certificate indicating the time the applicant will obtain the Doctor’s Degree successfully).
l Other relevant materials that can prove personal and research ability, such as published papers (PDF), certificates, catalogues of scientific research achievements, doctoral dissertations, etc.
Contact:
Prof. Qun Li, http://gr.xjtu.edu.cn/web/qunli/1
Tel:
Email: qunli@mail.xjtu.edu.cn
Address: Xi’an Jiaotong University, Xianning West Road No.28, Xi’an, Shaanxi, China, 710049.
最新动态 - 李 群主要任职
李群 教授
力学专业博士生导师
西安交通大学航天学院 副院长
陕西省无损检测与结构完整性评价工程技术研究中心 副主任
联系方式
Email:qunli@mail.xjtu.edu.cn
TEL: QQ:**
办公室：教一楼南415
通信地址：西安交通大学航天航空学院工程力学系，710049
Blank8
课题组太白行(2013)
课题组朱雀行(2017)
课题组成员 - 李 群
联系方式 - 李 群
Postdoc Position - 李 群
Postdoc Position
Post-Doctoral Research Opportunities in Prof. Qun Li’s Group, School of Aerospace, Xi’an Jiaotong University
Research Area:
l Mechanics: Fracture, Damage, Fatigue, Failure, etc.
l Reliability Analysis, Integrality Assessment, etc.
l Aeronautical and Astronautical Science and Technology (Structure Strength of Flight Vehicle).
Qualifications/Requirements:
l PhD degree or has qualifications for PhD defense, in Mechanics, Aeronautical and Astronautical Science and Technology, Materials, Mechanical Design or/and Manufacturing, etc., graduated from famous universities at home and abroad.
l Good English skill in speaking and writing.
l Diligent, conscientious, proactive, team working, good ability and strong willingness to do research innovatively and independently.
l Good publication records: one or more papers published in journals with most academic influence, or at least two papers included in SCI where the applicant is the first author. Or significant engineering capabilities (identified).
l No more than thirsty-five years old.
We Offer:
u Minimum of 330,000 RMB (Annual Salary) for the Special Supported Postdoctoral Fellow, and Minimum of 210,000 RMB (Annual Salary) for the Full-time Postdoctoral Research Fellows, accompanied with performance-related pay.
u Apartment for Postdoctoral Fellows.
u Enjoy the same school admission policy provided for the children of faculty and staff of the school.
u More details about the welfare and policy can refer to the website as follow: http://hr.xjtu.edu.cn/info/1044/4744.htm
Application Materials:
Please send the following materials to qunli@mail.xjtu.edu.cn with the email subject in following form: Postdoctoral Application-Name-Graduation School-Major.
l CV (including personal introduction, education and working experience, and research achievements, etc.)
l Certificate for Doctor’s Degree (or Certificate indicating the time the applicant will obtain the Doctor’s Degree successfully).
l Other relevant materials that can prove personal and research ability, such as published papers (PDF), certificates, catalogues of scientific research achievements, doctoral dissertations, etc.
Contact:
Prof. Qun Li, http://gr.xjtu.edu.cn/web/qunli/1
Tel:
Email: qunli@mail.xjtu.edu.cn
Address: Xi’an Jiaotong University, Xianning West Road No.28, Xi’an, Shaanxi, China, 710049.
English - 李 群Blank3
Prof. Dr. Qun Li
Doctoral Supervisor, Deputy Director of Department of Engineering Mechanics
State Key Laboratory for Strength and Vibration of Mechanical Structure
School of Aerospace, Xi’an Jiaotong University
No.28, Xianning West Road, Xi’an, 710049, P.R. China
Tel: 0086- E-mail: qunli@mail.xjtu.edu.cn
Education
03/2005-03/2008 Ph.D. in Solids Mechanics, Xi’an Jiaotong University, Xi’an, China.
09/2002-03/2005 M.S. in Solids Mechanics, Xi’an Jiaotong University, Xi’an, China.
09/1998-06/2002 B.S. in Engineering Mechanics, Xi’an Jiaotong University, Xi’an, China.
Research Experience
01/2018-present Professor, School of Aerospace, Xi’an Jiaotong University, China.
07/2011-12/2017 Associate Professor, School of Aerospace, Xi’an Jiaotong University, China.
06/2014-09/2014 Senior Visiting Scholar (Collaborator: ChuanZeng Zhang),
Alexander von Humboldt Postdoc Fellow, collaborator: University of Siegen, Germany
09/2010-07/2011 Postdoc Fellow (Collaborator: Long-Qing Chen), Penn State/PSU, USA
07/2008-08/2010 Alexander von Humboldt Postdoctoral Researcher Fellow (Collaborator: Meinhard Kuna),
TU Bergakademie Freiberg, Germany
09/2004-06/2007 Research and Teaching Assistant, Department of Engineering Mechanics, Xi’an Jiaotong University, China.
Research Topics
Fracture and Failure of Engineering Structure and Materials
Theoretical and Experimental Research of Material Configurational Mechanics
Digital Image Correlation Measurement Method
Phase Field Simulation and Mechanical Properties of Solid Oxide Fuel Cell (SOFC)
Numerical Simulation of Hydraulic Fracturing of Shale Gas Reservoir
Fracture Mechanics of Advanced Functional Materials
Selected Projects and Activities
Configurational Force Theory in Fracture Mechanics of Inhomogeneous Materials, General Program of NSFC, No.**, 01/2018-12/2021, Leader
New Criterion to Describe Material Damage and Failure via Configurational Mechanics, General Program of NSFC, No. **, 01/2015-12/2018, Leader
Fracture Behavior and Configurational Force of Ferroelectric Polycrystals Based on Microstructural Evolution, Program of NSFC for Distinguished Young Scholars, No.**, 01/2013-12/2015, Leader
Crack Propagation in Ferroelectric Materials Associated with Micro-domain Switching, SRF for ROCS, SEM 2013-17, 07/2013-07-2014, Leader
Optimal Design of Hydraulic Fracturing of Shale Gas Reservoir, Industrial Research Project of Education Department of Shaanxi Province, 2014k10-16, 01/2014-12/2015, Leader
Microstructural Evolution of Solid Oxide Fuel Cell (SOFC) by Phase Field Simulation, Exploration and Innovation Project of Xi’an Jiaotong University, 01/2013-12/2014, Leader
Microstructural Simulation of Fracture and Damage of Ferroelectric Polycrystals, Research Support Program for New Teachers of Xi’an Jiaotong University, 01/2012-12/2014, Leader
Study on the Mechanism of Micro-crack Initiation and Propagation in the Modeling Modules of Solar Photovoltaic Cells, Project supported by EDF&CSI, , 10/2015-12/2018, Participator
Investigation of Domain Switching and Emission Induced by Inhomogeneous Electrical Creep near the Crack Tip of Ferroelectrics, General Program of NSFC, No. **, 01/2013-12/2016, Participator
Mechanical Behavior of Lightweight Heterogeneous Materials, Program for Innovative Research Groups of NSFC, No. **, 01/2013-12/2016, Participator
Theoretical and Experimental Research of Material Configurational Mechanics, Key Program of NSFC, No. **, 01/2010-12/2013, Participator
National Energy Technology Laboratory’s on-going research in the area of cathode modeling in Solid Oxide Fuel Cells under the RDS Contract 10-220621 6923, 09/2010-07/2011, Participator
Selected Awards
First Prize of the Science Technology of Shaanxi Province, Shaanxi Province, 2015
First Prize of the Science Technology of Colleges and Universities in Shaanxi, Education Department of Shaanxi Province, 2014
Nomination Award of the National Excellent Ph.D. Thesis of China, 2010
Postdoctoral Fellowship of the Alexander von Humboldt Foundation, 2008
Tang Wen-Zhi Scholarship for Excellent Ph.D., XJTU, 2008
Tang Wen-Zhi Scholarship for Excellent Graduate Students, XJTU, 2007
Graduate Academic Excellent Fellowship, First Prize, XJTU, every year 2002-2005
Undergraduate Academic Excellent Student, XJTU, every year 1998-2002
Selected Journal Publications (Total over 50 journal papers and more than 160 SCI citations)
Qun Li, Zhuocheng Ou, Yiheng Chen, Advanced Fracture Mechanics (in Chinese) [M]. Chinese Science Press, Xi’an, China, (2017).
Qun Li*, JunNan Lv, Yuli Guo, XinPeng Tian. A consistent framework of material configurational mechanics in piezoelectric materials [J]. Acta Mechanica, (2017), 1-24. (IF:1.851)
Qun Li*, Yuli Guo, JunLing Hou, WenJie Zhu, The M-Integral based failure description on elasto-plastic materials with defects under biaxial loading [J]. Mechanics of Materials, 112 (2017), 163-171. (IF:2.651)
Yuli Guo, Qun Li*, Material configurational forces applied to mixed mode crack propagation [J]. Theoretical and Applied Fracture Mechanics, 89 (2017), 147-157. (IF:2.659)
Suxin Pan, Qida Liu, Qun Li*, Ferroelectric creep associated with domain switching emission in the cracked ferroelectrics [J]. Computational Materials Science, 140 (2017), 244-252. (IF:2.292)
Junnan Lv, Xueling Fan, Qun Li*, The impact of the growth of thermally grown oxide layer on the propagation of surface cracks within thermal barrier coatings [J]. Surface & Coatings Technology, 309 (2017), 1033-1044. (IF:2.589)
Rong Wang, Hong Zuo, Yimin Yang, Bo Yang, Qun Li*, Finite element simulation and optimization of radial resistive force for shape memory alloy vertebral body stent [J]. Journal of Intelligent Material Systems and Structures, 28 (2017), **X**. (IF:2.255)
Bin Gu, Yuli Guo, Qun Li, Crack Interacting with an Individual Inclusion by the Fracture Criterion of Configurational Force (in Chinese) [J]. Chinese Journal of Theoretical and Applied Mechanics, 6 (2017), 1312-1321.
Qun Li, Numerical simulation of domain switching in multilayer ferroelectric actuators [J]. Theoretical & Applied Mechanics Letters, 6 (2016), 268-273.
JunNan Lv, Qun Li*, Equivalent configurational stress to predict material yielding and crack propagation [J]. Acta Mechanica, 227 (2016), 3055-3065. (IF:1.851)
Qun Li*, Suxin Pan, Qida Liu and Jie Wang, Domain switching emission from the mixed mode crack in ferroelectrics by birefringence measurement and phase ?eld modeling [J]. Smart Material and Structure, 25 (2016), 07LT01 (7pp). (IF:2.909)
Qun Li*, Junnan Lv, Invariant integrals of crack interaction with an inhomogeneity [J]. Engineering Fracture Mechanics, 171 (2016), 76-84. (IF:2.151)
Junling Hou, Qun Li*, Junnan Lv, Hong Zuo, Crack deflection by the transformable particles dispersed in composites [J]. Acta Mechanica, 227 (2016), 743-756. (IF:1.851)
Junling Hou, Qun Li*, Guangyan Liu, Hong Zuo, Fundamental solutions of a crack impinging upon an interface slippage in laminated anisotropic bodies [J]. Archive of Applied Mechanics, 86 (2016), 687-700. (IF:1.490)
Qun Li*, Yang Zhang, Yongxin Lei, Siyuan Zhou, Influence of Double-win's Installation Angle on Performance During Stable Scanning Stage of Non-Parachute Terminal Sensitive Projectile (in Chinese) [J]. Journal of Ballistics, 3 (2016), 1-6.
Qun Li, Junnan Lv, Junling Hou, Hong Zuo, Crack-tip shielding by the dilatant transformation of particles/fibers embedded in composite materials [J]. Theoretical and Applied Fracture Mechanics, 80 (2015), 242-252. (IF:2.659)
Yuli Guo, Qun Li*, On some fundamental properties of the L-integral in plane elasticity [J]. Acta Mechanica, 226 (2015), 137-148. (IF:1.851)
Linyun Liang, Qun Li, Jiamian Hu, Shiwoo Lee, Gerdes K, Long-Qing Chen, Phase field modeling of microstructure evolution of electrocatalyst/infiltrated solid oxide fuel cellcathodes [J]. Journal of Applied Physics, 117 (2015), 065105. (IF:2.068)
Qun Li, Material configurational mechanics with application to complex defects (in Chinese) [J]. Chinese Journal of Theoretical and Applied Mechanics, 47(2015), 197-214.
Ningyu Yu, Qun Li*, The Explicit Relation Between the M-integral and the Elastic Moduli of Inclosion/Damages (in Chinese) [J]. Chinese Journal of Theoretical and Applied Mechanics, 46 (2014), 87-93.
Ningyu Yu, Qun Li*, On the Algorithm of Material Configurational Force Based on Digital Image Correlation Measurement (in Chinese) [J]. Journal of Experimental Mechanics, 5 (2014), 579-588.
Jianjun Wang, Xingqiao Ma, Qun Li, Jason Britson, Long-Qing Chen, Phase Transitions and Domain Structures of Ferroelectric Nanoparticles: Phase-field Model Incorporating Strong Elastic and Dielectric Inhomogeneity [J]. Acta Materialia, 61 (2013), 7591-7603. (IF:1.851)
Ningyu Yu, Qun Li*. Failure theory via the concept of material configurational forces associated with the M-integral [J]. International Journal of Solids and Structures, 50 (2013), 4320-32. (IF:2.760)
Ningyu Yu. Qun Li*, Yiheng Chen. Experimental evaluation of the M-integral in an elastic-plastic material containing multiple defects [J]. ASME J. Appl. Mech, 80 (2013), 011021. (IF:2.133)
Suxin Pan, Yifeng Hu, Qun Li*. Numerical simulation of mechanical properties in nanoporous membrane [J]. Computational Materials Science, 79 (2013), 611-618. (IF:2.292)
Qun Li*, Linyun Liang, Kirk Gerdes, Long-Qing Chen. Phase-field modeling of three-phase electrode microstructures in solid oxide fuel cells [J]. Applied Physics Letters, 101 (2012), 033909. (IF:3.411)
Yifeng Hu, Qun Li*, Junping Shi, Yiheng Chen. Surface/interface effect and size/configuration dependence on the energy release in nanoporous membrane [J]. Journal of Applied Physics, 112 (2012), 034302. (IF:2.068)
Qun Li*, Yifeng Hu, Yiheng Chen. On the physical interpretation of the M-integral in nonlinear elastic defect mechanics [J]. International Journal of Damage Mechanics, 22 (2012) , 602-613. (IF:1.783)
Qun Li*, Meinhard Kuna. Evaluation of electromechanical fracture behavior by configurational forces in cracked ferroelectric polycrystals [J]. Computational Materials Science, 57 (2012), 94-101. (IF:2.292)
Ningyu Yu, Qun Li, Yiheng Chen, Measurement of the M-integral for a Hole in an Aluminum Plate or Strip. Experimental Mechanics [J]. 52(2012), 855-863. (IF:2.091)
Qun Li*, Meinhard Kuna. Inhomogeneity and material configurational forces in three dimensional ferroelectric polycrystals [J]. European Journal of Mechanics A/Solids, 31 (2012), 77-89. (IF:2.846)
Qun Li*, Andreas Ricoeur, Meinhard Kuna. Coulomb traction on a penny-shaped crack in a three dimensional piezoelectric body [J]. Archive of Applied Mechanics, 81 (2011), 685-700. (IF:1.490)
Qun Li, Andreas Ricoeur, Marco Enderlein, Meinhard Kuna, Evaluation of electromechanical coupling effect by microstructural modeling of domain switching in ferroelectrics [J]. Mechanics Research Communications, 37 (2010), 332-336. (IF:1.667)
Qun Li, Yiheng Chen: Inherent relations between the Bueckner integral and the Jk-integral or the M-integral in multi-defects damaged piezoelectric materials [J]. Acta Mechanica, 204 (2009), 125-136. (IF:1.851)
Qun Li, Yiheng Chen, The Coulombic traction on the surfaces of an interface crack in dielectric /piezoelectric or metal/piezoelectric biomaterials [J]. Acta Mechanica, 202 (2009), 111-126. (IF:1.851)
Qun Li, Yiheng Chen, Investigation of the crack problem in non-local piezoelectric materials under combined electromechanical loadings [J]. Acta Mechanica Sinica, 25 (2009), 219-225. (IF:1.324)
Qun Li, Yiheng Chen, Surface effect and size dependence on the energy release due to a nanosized hole expansion in plane elastic materials [J]. ASME Journal of Applied Mechanics, 75 (2008), 061008-1(5pp). (IF:2.133)
Qun Li, Yiheng Chen, Why traction-free? Piezoelectric crack and Coulombic traction [J]. Archive of Applied Mechanics, 78 (2008), 559-573. (IF:1.490)
Qun Li, Yiheng Chen,The role played by the Coulombic traction for an interface crack in dissimilar piezoelectric materials [J]. Smart Materials and Structures, 17 (2008), 017001(7pp). (IF:2.909)
Qun Li, Yiheng Chen, Solution for a semi-permeable interface crack in elastic dielectric /piezoelectric biomaterials [J]. ASME Journal of Applied Mechanics, 75 (2008), 011010. (IF:2.133)
Qun Li, Yiheng Chen, Hui Tong, Analysis of the invariant integrals in plane elasticity containing a nanosized hole [J]. Acta Mechanica, 199(2008), 143-150. (IF:1.851)
Qun Li, Yiheng Chen, Solution for a semi-permeable interface crack between two dissimilar piezoelectric materials [J]. ASME Journal of Applied Mechanics, 74 (2007), 833-844. (IF:2.133)
Qun Li, Yiheng Chen, Analysis of Crack-tip singularities for an interfacial permeable crack in metal/piezoelectric biomaterials [J]. Acta Mechanica Solida Sinica, 20 (2007), 247-257. (IF:0.736)
Qun Li, Yiheng Chen, Analysis of a permeable interface crack in elastic dielectric/piezoelectric biomaterials [J]. Acta Mechanica Sinica, 23 (2007), 681-687. (IF:1.324)
Qun Li, Yiheng Chen, The Bueckner work conjugate integral for a permeable crack in piezoelectric materials [J]. Acta Mechanica, 190 (2007), 237-243. (IF:1.851)
