三维空间弹塑性波动方程的高分辨率模拟

Int. J. Comput. Eng. Sci. Pub Date : 2004-09-01 DOI:10.1142/S1465876304002599

G. Giese

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引用次数: 2

摘要

本文给出了求解三维弹塑性波动方程的一种有效的高时间和空间阶数值一步法。其基本思想是将双曲偏微分方程分解为可数值求解的平流方程，并且由于塑性的存在，需要对每一点的应力-应变关系求解偏微分方程。

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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High-resolution simulation of the elastic-plastic wave equation in three space dimensions

In this paper we present an efficient numerical one-step method of high order in space and time for solving the elastic-plastic wave equation in three space dimensions. The basic idea is to decompose the hyperbolic PDE into advection equations, which can be solved numerically, Furthermore, the occurrence of plasticity makes it necessary to solve an ODE for the stress-strain relationship at every point.

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Int. J. Comput. Eng. Sci.

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