关键词：冲击破坏;热黏塑性;非常规态型近场动力学;裂纹扩展;非局部模型;Kalthoff-Winkler试验 Abstract A three-dimensional non-local thermo-visco-plastic solid model considering the strain rate effect, plastic hardening, thermal softening and fracture characteristics of materials, together with corresponding non-local spatial integral-type numerical method, have been proposed under the configuration of the recently developed non-ordinary state-based peridynamic (NOSB-PD) theory, and the model and numerical method have been employed to analyze the high-rate thermal-viscoplastic deformation and failure behavior of metallic materials and components under impact loads. The validity of the proposed model and algorithms was established through simulating the three-dimensional classical Kalthoff-Winkler impact experiment and comparing the numerical results including the cracking initiation time and orientation, crack propagation path and propagation speed, and the distribution of temperature and equivalent stresses in the target with experimental observations and available numerical results in literature. The proposed model and method were further applied to simulate the deformation and failure mechanism of double-notched metallic plates subjected to impact loads with different impacting velocities. Numerical results show that the present model inherits the advantages of both peridynamics and classical thermo-visco-plastic models, and is able to describe the whole elastic and plastic deformation and crack propagation processes qualitatively as well as quantitatively. Moreover, the effect of impact velocity on crack initiation time, crack propagation path and crack propagation speed were investigated. When subjected to impact load with lower impacting velocity, the crack initiation time of the target plate will be later (until no crack propagation appears when impacting velocity is lower than some value), and both the crack propagation speed and the peak temperature in the target plate will decrease.
图8所示为靶板在冲击过程中的破坏区域(试验观测到的剪切带)最高温度变化过程, 表2为冲击过程中靶板的最高温度峰值. 由图表可知, 在冲击初始阶段, 温度变化趋势基本相同, 此时为预置裂纹尖端仅产生变形的阶段. 显示原图|下载原图ZIP|生成PPT 图8冲击过程中靶板的最高温度变化。 -->Fig.8The peak temperature in the target plate during the impact -->
Table 2 表2 表2靶板的最高温度 Table 2The peak temperature of the target plate
(LiJie, RenXiaodan, HuangQiaoping.A viscoplastic damage constitutive model for concrete .Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(1): 193-201 (in Chinese))
[2]
LiS, LiuWK, QianD, et al.Dynamic shear band propagation and micro-structure of adiabatic shear band .Computer Methods in Applied Mechanics and Engineering, 2001, 191(1): 73-92
[3]
LiS, LiuWK, RosakisAJ, et al.Mesh-free galerkin simulations of dynamic shear band propagation and failure mode transition .International Journal of Solids and Structures, 2002, 39(5): 1213-1240
[4]
RabczukT, AreiasP, BelytschkoT.A meshfree thin shell method for non-linear dynamic fracture .International Journal for Numerical Methods in Engineering, 2007, 72(5): 524-548
(ZhangPeng, DuChengbin, JiangShouyan.Crack face contact problem analysis using the scaled boundary finite element method .Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(6): 1335-1347 (in Chinese))
(TongDihua, WuXueren, HuBenrun.Weight function methods and assessment for an edge crack in a semi-infinite plate .Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(4): 848-857 (in Chinese))
[7]
SillingSA.Reformulation of elasticity theory for discontinuities and long-range forces .Journal of the Mechanics and Physics of Solids, 2000, 48(1): 175-209
[8]
MadenciE, OterkusE.Peridynamic Theory and Its Applications . Springer, 2014
(HuangDan, ZhangQing, QiaoPizhong, et al.A review on peridynamics method and its application .Advance in Mechanics, 2010, 40(4): 448-459 (in Chinese))
[10]
HuangD, LuGD, QiaoPZ.An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis .International Journal of Mechanical Sciences, 2015, 94(95): 111-122
[11]
SillingSA, DemmieP, WarrenTL.Peridynamic simulation of high-rate material failure// Proceedings of 2007 Applied Mechanics and Materials Conference, Austin,TX, 2007
(HuYile, YuYin, WangHai.Damage analysis method for laminates based on peridynamic theory .Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(4): 624-628 (in Chinese))
(YuYangtian, ZhangQing, GuXin.Impact failure simulation of a single-edged notched concrete beam based on peridynamics .Engineering Mechanics, 2016(12): 80-85 (in Chinese))
[14]
HuangD, ZhangQ, QiaoPZ.Damage and progressive failure of concrete structures using non-local peridynamic modeling .Science China Technological Science, 2011, 54(3): 591-596
[15]
HuW, WangY, YuJ, et al.Impact damage on a thin glass plate with a thin polycarbonate backing .International Journal of Impact Engineering, 2013, 62(24): 152-165
(ZhangQing, GuXin, YuYangtian.Peridynamics simulation for dynamic response of granular materials under impact loading .Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(1): 56-63 (in Chinese))
[17]
SillingSA, EptonM, WecknerO, et al.Peridynamic states and constitutive modeling .Journal of Elasticity, 2007, 88(2): 151-184 [本文引用: 1]
[18]
SillingSA.Linearized theory of peridynamic states .Journal of Elasticity, 2010, 99(1): 85-111 [本文引用: 1]
[19]
MitchellJA.A nonlocal, ordinary, state-based plasticity model for peridynamics. Report of Sandia National Laboritories, Albuquerque, New Mexico, 2011
[20]
WarrenTL, SillingSA, AskariA, et al.A non-ordinary state-based peridynamic method to model solid material deformation and fracture .International Journal of Solids and Structures, 2009, 46(5): 1186-1195
[21]
WecknerO, AbdullahN, MohamedN.Viscoelastic material models in peridynamics .Applied Mathematics and Computation, 2013, 219: 6039-6043
[22]
NikabdullahN, AziziMA, AlebrahimR, et al.The application of peridynamic method on prediction of viscoelastic materials .AIP Conference Proceedings, 2014, 357: 1602-1609
OterkusS, MadenciE, AgwaiA.Fully coupled peridynamic thermomechanics .Journal of the Mechanics and Physics of Solids, 2014, 64(1): 1-23
[25]
FosterJ, SillingSA, ChenW.Viscoplasticity using peridynamics .International Journal for Numerical Methods in Engineering, 2010, 81(10): 1242-1258
[26]
TupekM, RimoliJ, RadovitzkyR.An approach for incorporating classical continuum damage models in state-based peridynamics .Computer Methods in Applied Mechanics and Engineering, 2013, 263(1): 20-26
[27]
AmaniJ, OterkusE, AreiasP, et al.A non-ordinary state-based peridynamics formulation for thermoplastic fracture .International Journal of Impact Engineering, 2016, 87(1): 83-94
[28]
NeedlemanA.Material rate dependent and mesh sensitivity in localization problems .Computer Methods in Applied Mechanics and Engineering, 1988, 67(1): 68-85
[29]
NeedlemanA.Dynamic shear band development in plane strain .Journal of Applied Mechanics, 1989, 56(1): 1-9
[30]
ZhouM, RavichandranG, RosakisAJ.Dynamically propagating shear bands in impact-loaded prenotched plates--II. Numerical simulations .Journal of the Mechanics of Physics and Solids, 1996, 44(2): 1007-1032
[31]
KalthoffJF.Modes of dynamic shear failure in solids .International Journal of Fracture, 2000, 101(1-2): 1-31
[32]
KalthoffJF, BurgelA.Influence of loading rate on shear fracture toughness for failure mode transition .International Journal of Impact Engineering, 2004, 30(8-9): 957-971
BelytschkoT, ChenJ, XuJ, et al.Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment .International Journal for Numerical Methods in Engineering, 2003, 58(12): 1873-1905
[35]
SongJH, AreiasP, BelytschkoT.A method for dynamic crack and shear band propagation with phantom nodes .International Journal for Numerical Methods in Engineering, 2006, 67(6): 868-893
, 徐业鹏, 刘一鸣
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