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首页> 外文期刊>International Journal of Solids and Structures >A general framework for continuum damage models. II. Integration algorithms, with applications to the numerical simulation of porous metals
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A general framework for continuum damage models. II. Integration algorithms, with applications to the numerical simulation of porous metals

机译：连续损伤模型的通用框架。二。积分算法及其在多孔金属数值模拟中的应用

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In this paper, we develop numerical algorithms for the integration of the continuum plastic damage models formulated in the general framework identified in Part I of this work. More specifically, we focus our attention on a particular plastic damage model of porous metals, involving a classical von Mises yield criterion coupled with a pressure dependent damage surface to model the nucleation and growth of voids in the metallic matrix. Unilateral damage leading to a sudden change of stiffness in the material's response due to the closing/opening of these voids is also incorporated through the imposition of the unilateral constraint of a positive void fraction, thus, illustrating the clear physical significance added by this framework in the resulting constitutive models. The proposed integration algorithms fully use the modularity of the identified framework, leading in this way to independent integration algorithms for the elastoplastic part and each damage mechanism. Remarkably, all these individual integration schemes share the same formal structure as the classical return mapping algorithms employed in the numerical integration of elastoplastic models, namely an operator split structure consisting of a trial state and the return map imposing the plastic and damage consistency, respectively. A Newton iterative scheme imposes the equilibrium (equal stresses) among the different mechanisms of the response of the material. This modular structure allows to obtain the closed-form consistent linearization, involving in a simple form the algorithmic consistent tangents corresponding to each independent mechanism, thus resulting in a very modular and efficient computational implementation. The performance of the proposed algorithms is illustrated in several representative numerical simulations. (C) 2000 Elsevier Science Ltd. All rights reserved. [References: 24]
机译：在本文中，我们开发了数值算法，用于整合在本文第一部分确定的通用框架中制定的连续塑性损伤模型。更具体地说，我们将注意力集中在多孔金属的特定塑性损伤模型上，该模型涉及经典的冯·米塞斯屈服准则以及与压力相关的损伤表面，以模拟金属基质中空洞的形核和生长。这些空洞的闭合/打开会导致材料响应的刚度突然变化而引起的单边损坏，也可以通过施加正空洞部分的单边约束来合并，从而说明了该框架在以下方面的明显物理意义：得到的本构模型。提出的集成算法充分利用了已识别框架的模块化，从而导致了针对弹塑性零件和每个损伤机制的独立集成算法。值得注意的是，所有这些单独的集成方案都具有与弹塑性模型的数值积分中使用的经典回归映射算法相同的形式结构，即由试验状态组成的算子拆分结构和分别施加塑性和损伤一致性的回归图。牛顿迭代方案在材料响应的不同机制之间施加平衡（相等应力）。这种模块化结构允许获得封闭形式的一致线性化，以简单的形式包含与每个独立机制相对应的算法一致切线，从而导致非常模块化和高效的计算实现。几种代表性的数值模拟说明了所提出算法的性能。 （C）2000 Elsevier ScienceLtd。保留所有权利。 [参考：24]

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