Equilibrium of micropolar bodies with predeformed regions. The superposition of large deformations

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2017.08.014

V.A. Levin

引用次数: 6

Abstract

A formulation of problems concerning the equilibrium of non-linearly elastic micropolar bodies is presented for the case of the superposition of large deformations. The kinematic relations of large deformation superposition theory are given for micropolar materials, and the constitutive relations and equilibrium equations of a micropolar medium in the intermediate state coordinates are obtained. Some results of the solution of a model problem based on large deformation superposition theory are presented.

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具有预变形区域的微极体的平衡。大变形的叠加

针对大变形叠加的情况，提出了非线性弹性微极体平衡问题的一种表述。给出了微极性材料大变形叠加理论的运动关系，得到了微极性介质在中间状态坐标下的本构关系和平衡方程。给出了基于大变形叠加理论求解模型问题的一些结果。

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

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.