An endochronic plasticity formulation for filled rubber

An endochronic plasticity formulation for filled rubber
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填充橡胶的内时塑性配方

DOI:
10.1016/j.ijsolstr.2010.04.026
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发表时间:
2010
影响因子:
3.6
通讯作者:
M. Kaliske
M. Kaliske
中科院分区:
工程技术2区
文献类型:
--
作者:
C. Netzker;H. Dal;M. Kaliske

文献摘要

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弹性材料的性质要求考虑有限变形、包括损伤在内的非线性弹性以及率相关和率无关的耗散特性。虽然随着时间的推移,许多考虑到这些影响的模型已经得到改进,以更好地反映橡胶类材料的真实行为,但填充橡胶的弹塑性特性的真实模拟仍然具有挑战性。经典的弹-理想-塑性公式表现出明显的屈服面,而填充橡胶部件的弹塑性行为表现出屈服面自由塑性。为了更好地描述材料点的这种弹塑性变形,建立了基于物理的内时塑性模型,并将其应用到有限元程序中。基态弹性特性的公式是基于Arruda和Boyce(1993)的八链模型。类似于Dal和Kaliske(2009)讨论的Bergström-Boyce有限粘弹性模型,推导了非线性内时弹塑性响应本构方程的演化。
The nature of elastomeric material demands the consideration of finite deformations, nonlinear elasticity including damage as well as rate-dependent and rate-independent dissipative properties. While many models accounting for these effects have been refined over time to do better justice to the real behavior of rubber-like materials, the realistic simulation of the elastoplastic characteristics for filled rubber remains challenging. The classical elastic-ideal-plastic formulation exhibits a distinct yield-surface, whereas the elastoplastic material behavior of filled rubber components shows a yield-surface free plasticity. In order to describe this elastoplastic deformation of a material point adequately, a physically based endochronic plasticity model was developed and implemented into a Finite Element code. The formulation of the ground state elastic characteristics is based on Arruda and Boyce (1993) eight-chain model. The evolution of the constitutive equations for the nonlinear endochronic elastoplastic response are derived in analogy to the Bergström–Boyce finite viscoelasticity model discussed by Dal and Kaliske (2009).