质量力作用下水平椭圆腔削弱各向异性介质弹塑性状态的测定

IF 0.9 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2025-09-10 DOI:10.1134/S002565442560179X

S. V. Matveev, A. N. Matveeva, A. H. Alexandrov

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引用次数: 0

摘要

研究了受水平空腔削弱的重各向异性空间的应力状态。采用小参数法解决了这一问题。在初始零近似下，材料被认为是理想塑性的，不具有各向异性。在第一次近似中考虑了空穴椭圆率、质量力和材料各向异性等问题参数。在研究过程中，得到了弹塑性区应力分量的解析表达式，并确定了弹塑性区的边界。分析了各向异性和材料质量力对介质应力状态的影响。所得解可用于地下结构稳定性评价、岩体应力状态计算等连续介质力学问题。

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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Determination of Elastoplastic State of an Anisotropic Medium Weakened by a Horizontal Elliptic Cavity under Mass Forces

The paper studies the stress state of a heavy anisotropic space weakened by a horizontal cavity. The problem is solved using the small parameter method. In the initial zero approximation, the material is considered to be ideally plastic, not possessing anisotropy properties. Such problem parameters as hole ellipticity and mass forces, and material anisotropy are taken into account in the first approximation.

During the study, analytical expressions were obtained for the stress components in the elastic and plastic regions, and the boundary of the elastic-plastic zone was also determined. The influence of anisotropy and material mass forces on the stress state of the medium is shown.

The obtained solutions can be used to assess the stability of underground structures, calculate the stress state of rock massifs and other problems of continuum mechanics.

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来源期刊

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.