Explicit–Implicit Schemes for Calculating Dynamics of Elastoviscoplastic Media with Softening

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2024-09-19 DOI:10.1134/s0012266124060077

V. I. Golubev, I. S. Nikitin, A. V. Shevchenko, I. B. Petrov

引用次数: 0

Abstract

The paper examines the dynamic behavior of elastoviscoplastic media under the action of an external load. For the case of a linear viscosity function and a nonlinear softening function, an explicit–implicit calculation scheme is constructed that permits one to obtain a numerical solution of the original semilinear hyperbolic problem. This approach does not involve the use of the method of splitting into physical processes. Despite this, an explicit computational algorithm is obtained that can be effectively implemented on modern computing systems.

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计算软化弹塑性介质动力学的显式-隐式方案

摘要本文研究了弹塑性介质在外部载荷作用下的动态行为。针对线性粘度函数和非线性软化函数的情况，构建了一个显式-隐式计算方案，允许人们获得原始半线性双曲问题的数值解。这种方法不涉及物理过程的拆分方法。尽管如此，我们还是获得了一种可以在现代计算系统上有效实现的显式计算算法。

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

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.