Chemo-mechanical coupled systems have been a subject of interest for many decades now. Previous attempts to solve such models have mainly focused on elastic materials without taking into account the plastic deformation beyond yield, thus causing inaccuracies in failure calculations. This paper aims to study the effect of stress-diffusion interactions in an elastoplastic material using a coupled chemo-mechanical system. The induced stress is dependent on the local concentration in a one way coupled system, and vice versa in a two way coupled system. The time-dependent transient coupled system is solved using a finite element formulation in an open-source finite element solver FEniCS. This paper attempts to computationally study the interaction of deformation and diffusion and its effect on the localization of plastic strain. We investigate the role of geometric discontinuities in scenarios involving diffusing species, namely, a plate with a notch/hole/void and particle with a void/hole/core. We also study the effect of stress concentrations and plastic yielding on the diffusion-deformation. The developed code can be from https://github.com/mrupeshkumar/Elastoplastic-stress-diffusion-coupling

中文翻译：

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存在几何不连续性时弹塑性介质中应力扩散相互作用的连续模型

几十年来，化学-机械耦合系统一直是人们感兴趣的主题。以前解决此类模型的尝试主要集中在弹性材料上，而没有考虑超出屈服的塑性变形，从而导致失效计算不准确。本文旨在使用耦合化学机械系统研究弹塑性材料中应力扩散相互作用的影响。诱导应力取决于单向耦合系统中的局部浓度，反之亦然。瞬态耦合系统在开源有限元求解器 FEniCS 中使用有限元公式求解。本文试图通过计算研究变形和扩散的相互作用及其对塑性应变局部化的影响。我们研究了几何不连续性在涉及扩散物质的场景中的作用，即具有凹口/孔/空隙的板和具有空隙/孔/核心的粒子。我们还研究了应力集中和塑性屈服对扩散变形的影响。开发的代码可以来自 https://github.com/mrupeshkumar/Elastoplastic-stress-diffusion-coupling