基于新整体张量构建的非线性弹性最简单模型的行为特征

IF 0.3 Q4 MECHANICS Moscow University Mechanics Bulletin Pub Date : 2023-12-21 DOI:10.3103/S0027133023050047
E. S. Klimov, G. L. Brovko
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引用次数: 0

摘要

摘要 我们考虑了新的应变和应力整体张量,并建立了非线性弹性模型,解决了不可压缩材料的薄宽板拉伸和杆的单轴拉伸问题。这些模型在变形较小时与经典模型一致,而在变形较大时则基本表现出各种特性。
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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Peculiarities of Behavior of Simplest Models of Nonlinear Elasticity Constructed Based on New Holonomic Tensor Measures

We consider new holonomic tensor measures of strain and stresses and build nonlinear elasticity models for which the problems of stretching of a thin wide plate and uniaxial stretching of a rod from incompressible materials are solved. These models are congruent with classical ones when deformation is small, and they essentially demonstrate various properties at large deformations.

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来源期刊
CiteScore
0.60
自引率
0.00%
发文量
9
期刊介绍: Moscow University Mechanics Bulletin  is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.
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