A variational method for the simulation of hydrogen diffusion in metals

IF 3.4 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials Pub Date : 2024-09-25 DOI:10.1016/j.mechmat.2024.105166

引用次数: 0

Abstract

We present a new method for the approximate solution of the strongly coupled, nonlinear stress-diffusion problem that appears when modeling hydrogen transport in metals. The most salient feature of the proposed approximation is that it is fully variational, meaning that all the discrete equations are obtained from the optimality conditions of an incremental potential, even for inelastic mechanical behavior. Like other variational methods, the proposed algorithm has remarkable properties, including the symmetry of the tangent operator, making its solution extremely efficient compared to other similar methods available in the literature.

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模拟金属中氢扩散的变分法

我们提出了一种近似解决强耦合非线性应力扩散问题的新方法，该问题在模拟金属中的氢传输时出现。所提近似方法的最显著特点是它是完全变分的，这意味着所有离散方程都可以从增量势能的最优化条件中获得，甚至对于非弹性机械行为也是如此。与其他变分法一样，所提出的算法具有显著的特性，包括正切算子的对称性，因此与文献中的其他类似方法相比，其求解效率极高。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanics of Materials 工程技术-材料科学：综合

CiteScore

7.60

自引率

5.10%

发文量

243

审稿时长

46 days

期刊介绍： Mechanics of Materials is a forum for original scientific research on the flow, fracture, and general constitutive behavior of geophysical, geotechnical and technological materials, with balanced coverage of advanced technological and natural materials, with balanced coverage of theoretical, experimental, and field investigations. Of special concern are macroscopic predictions based on microscopic models, identification of microscopic structures from limited overall macroscopic data, experimental and field results that lead to fundamental understanding of the behavior of materials, and coordinated experimental and analytical investigations that culminate in theories with predictive quality.