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

Pub Date : 2024-09-19 DOI:10.1134/s0012266124060077
V. I. Golubev, I. S. Nikitin, A. V. Shevchenko, I. B. Petrov
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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。
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