连续介质力学中计算模型的几个问题

Q4 Earth and Planetary Sciences

世界地震工程 Pub Date : 2023-09-15 DOI:10.37394/232025.2023.5.10

Evelina Prozorova

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引用次数: 0

摘要

本工作的目的是研究建立实验和数值方法的通用性，使用计算数学的离散表示描述连续介质的可能性，基函数的选择对计算误差的影响等问题。讨论了先前提出的连续介质力学模型，包括力的一般作用和力的分布矩，以及边界条件在哈密顿力学中的作用，特别是在力学问题的常用计算解中。分析了一类偏微分方程组的龙格-库塔差分格式。给出了实例。

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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Some Questions of Computational Models in Continuum Mechanics

The aim of the work is to study some issues of establishing the generality of experimental and numerical methods, the possibilities of describing a continuous medium using discrete representations of computational mathematics, the influence of the choice of basis functions on calculation errors. The previously proposed model of continuum mechanics is discussed, including the general action of forces and distributed moments of forces, as well as the role of boundary conditions in Hamiltonian mechanics, especially in frequently used computational solutions to problems in mechanics. The Runge-Kutta difference scheme for a system of partial differential equations is analyzed. Examples are given.

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来源期刊

世界地震工程 Earth and Planetary Sciences-Geotechnical Engineering and Engineering Geology

CiteScore

0.80

自引率

0.00%

发文量

4131

期刊介绍： World Earthquake Engineering was founded in 1985 and is now a quarterly journal. It is an academic journal in the field of earthquake engineering under the supervision of China Earthquake Administration (CEA), and co-sponsored by the Institute of Engineering Mechanics of China Earthquake Administration (IEMCA) and the Chinese Society of Mechanics (CSM). The journal aims to introduce the latest research results in the field of earthquake engineering at home and abroad, to promote international academic exchanges in the field of earthquake engineering, and to serve China's seismic prevention and anti-seismic work. China Association for Science and Technology (CAST) selected China's high-quality scientific and technological journals in different fields for its hierarchical catalogue, and the journal was selected as T2 level (internationally renowned journals) of earth science and geophysical journals. Outstanding journal for the implementation of the CAJ-CD Code in the implementation of the Chinese Academic Journals (CD-ROM Version) Retrieval and Evaluation Data Specification (CAJ-CD Code) in the evaluation of excellence activities; included in the cultivation bank of Heilongjiang Province's high-quality journal projects.