由具有各向同性轴线对称地向界面倾斜的两个相同正交各向异性半带组成的带的分裂

IF 0.9 4区 工程技术 Q4 MECHANICS Mechanics of Solids Pub Date : 2025-02-09 DOI:10.1134/S0025654424603252
K. B. Ustinov, N. L. Borisova
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引用次数: 0

摘要

本文给出了由同一直线弹性正交各向异性材料制成的两条等厚度的半条,弹性张量的主轴对称地向界面倾斜,中间有一条沿界面延伸的半无限裂纹所构成的条的二维问题的精确解析解。假定自平衡载荷系统施加在离裂纹尖端足够远的地方。对于四种独立的主动加载模式,应力强度因子的表达式为初等函数的组合形式或依赖于三个独立参数的初等函数组合的单积分形式。
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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Splitting of a Strip Consisting of Two Identical Orthotropic Half-Strips with Isotropy Axes Symmetrically Inclined to the Interface

An exact analytical solution is obtained for the two-dimensional problem of a strip composed by two half-strips of equal thickness from the same linearly elastic orthotropic material with the main axes of the elasticity tensor symmetrically inclined to the interface and a central semi-infinite crack running along the interface. A self-balanced system of loads is assumed to be applied sufficiently far from the crack tip. For four independent active loading modes, expressions for stress intensity factors are found in the form of combinations of elementary functions or single integrals of combinations of elementary functions depending on three independent parameters.

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来源期刊
Mechanics of Solids
Mechanics of Solids 医学-力学
CiteScore
1.20
自引率
42.90%
发文量
112
审稿时长
6-12 weeks
期刊介绍: Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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