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首页> 外文期刊>International Journal for Numerical Methods in Engineering >On analysis of the elasto-viscoplastic response of single crystals with anisotropic damage: constitutive modelling and computational aspects
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On analysis of the elasto-viscoplastic response of single crystals with anisotropic damage: constitutive modelling and computational aspects

机译：分析具有各向异性损伤的单晶的弹黏塑性响应：本构模型和计算方面

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摘要

Based on the concept of continuum damage mechanics, an anisotropic damage model for single crystals under the theory of crystal plasticity is presented. Damage and inelastic deformations are incorporated in the proposed model which is developed within the framework of thermodynamics with internal state variables. The dependence of the plastic anisotropy on the damage evolution has been considered. The anisotropic damage is characterized kinematically here through a second-order damage tensor which is physically based. The proposed model can successfully describe the interaction between the evolution of micro-structure of single crystals such as lattice orientation and the hardness development of each slip system and the process of material degradation. The Newton-Raphson iterative scheme is used to integrate the constitutive equations that work directly with the evolution equations for the elastic deformation gradient. The consistent algorithmic tangent stiffness for the present algorithm is formulated. The prescribed algorithm together with the consistent algorithmic tangent stiffness has been implemented into the ABAQUS finite element code by using user subroutine. Using the loading processes with homogeneous deformations and simulation of the classical tensile test of a notched bar illustrate the basic aspects of the model described. Numerical simulations show the validation and performance of the present model and algorithm. Copyright (C) 2004 John Wiley Sons, Ltd.
机译：基于连续损伤力学的概念，提出了基于晶体可塑性理论的单晶各向异性损伤模型。损坏和非弹性变形被纳入所提出的模型中，该模型是在具有内部状态变量的热力学框架内开发的。已经考虑了塑性各向异性对损伤演化的依赖性。各向异性损伤在运动学上通过物理上的二阶损伤张量来表征。所提出的模型可以成功地描述单晶微观结构的演化（例如晶格取向）与每个滑移系统的硬度发展以及材料降解过程之间的相互作用。牛顿-拉夫森迭代方案用于将本构方程与弹性变形梯度的演化方程直接集成。制定了本算法的一致算法切线刚度。通过使用用户子例程，已将规定的算法与一致的算法切线刚度一起实现到ABAQUS有限元代码中。使用均质变形的加载过程以及带缺口钢筋的经典拉伸试验的仿真说明了所描述模型的基本方面。数值仿真表明了该模型和算法的有效性。版权所有（C）2004 John Wiley Sons，Ltd.

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