非格林弹性固体二维梁剪应力的近似测定

IF 1.7 4区工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mathematics and Mechanics of Solids Pub Date : 2023-10-13 DOI:10.1177/10812865231201623

Roger Bustamante

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引用次数: 0

摘要

本文采用Jouravski的经典方法计算了二维梁的剪切应力，并将线性化应变张量假设为柯西应力的非线性函数。研究了自由边受点荷载的悬臂梁(考虑矩形截面和圆形截面)和矩形截面梁的三点受弯试验两个问题。本文给出了岩石双模本构模型的数值计算结果，并将剪切应力的计算结果与经典材料强度理论对这类问题的预测结果进行了比较。

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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Approximate determination of shear stresses for a 2D beam made of a non-Green elastic solid

Shear stresses for a two-dimensional (2D) beam are calculated modifying the classical method developed by Jouravski, for the case the linearized strain tensor is assumed to be a nonlinear function of the Cauchy stresses. Two problems are studied, namely, the case of a cantilever beam with a point load on its free edge (considering a rectangular and a circular cross-section) and the three-point flexural test for a beam of rectangular cross-section. Numerical results are obtained for the particular case of a bimodular constitutive model for rock, and the results for the shear stresses are compared with the predictions of the classical theory of strength of materials for such problems, assuming a linearized elastic body.

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来源期刊

Mathematics and Mechanics of Solids 工程技术-材料科学：综合

CiteScore

4.80

自引率

19.20%

发文量

159

审稿时长

1 months

期刊介绍： Mathematics and Mechanics of Solids is an international peer-reviewed journal that publishes the highest quality original innovative research in solid mechanics and materials science. The central aim of MMS is to publish original, well-written and self-contained research that elucidates the mechanical behaviour of solids with particular emphasis on mathematical principles. This journal is a member of the Committee on Publication Ethics (COPE).