On Computational Modelling of Strain-Hardening Material Dynamics  

作　　者：Philip Barton Evgeniy Romenski 

机构地区：[1]Graduate Aerospace Laboratories,California Institute of Technology,California 91125,USA [2]Sobolev Institute of Mathematics,Russian Academy of Sciences,Novosibirsk 630090,Russia

出　　处：《Communications in Computational Physics》2012年第5期1525-1546,共22页计算物理通讯（英文）

摘　　要：In this paper we show that entropy can be used within a functional forthe stress relaxation time of solid materials to parametrise finite viscoplastic strainhardeningdeformations. Through doing so the classical empirical recovery of a suitableirreversible scalar measure of work-hardening from the three-dimensional stateparameters is avoided. The success of the proposed approach centres on determinationof a rate-independent relation between plastic strain and entropy, which is foundto be suitably simplistic such to not add any significant complexity to the final model.The result is sufficiently general to be used in combination with existing constitutivemodels for inelastic deformations parametrised by one-dimensional plastic strain providedthe constitutive models are thermodynamically consistent. Here a model for thetangential stress relaxation time based upon established dislocation mechanics theoryis calibrated for OFHC copper and subsequently integrated within a two-dimensionalmoving-mesh scheme. We address some of the numerical challenges that are faced inorder to ensure successful implementation of the proposedmodel within a hydrocode.The approach is demonstrated through simulations of flyer-plate and cylinder impacts.

关 键 词：ENTROPY VISCOPLASTICITY solid mechanics relaxation time Maxwell solid EULERIAN 

分 类 号：O34[理学—固体力学]