扭转载荷作用下粘弹性圆柱层蠕变问题的解析解

IF 0.9 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2025-10-08 DOI:10.1134/S0025654425600667

A. S. Begun, L. V. Kovtanyuk

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引用次数: 0

摘要

利用弹性、塑性和粘性材料大变形的数学模型，得到了一种粘弹性材料置于两个刚性圆柱面之间的间隙中，当外刚性圆柱体受扭矩作用而旋转，而内圆柱体静止时的蠕变问题的解析解。计算了变形各阶段的位移、可逆变形和不可逆变形、应力，包括残余变形和全卸载应力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On an Analytical Solution to the Creep Problem of a Viscoelastic Cylindrical Layer under Torsional Loading

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On an Analytical Solution to the Creep Problem of a Viscoelastic Cylindrical Layer under Torsional Loading

Using a mathematical model of large deformations of materials with elastic, plastic and viscous properties, an analytical solution is obtained for the problem of deformation under creep conditions of a viscoelastic material placed in a gap between two rigid cylindrical surfaces, when the outer rigid cylinder rotates due to a twisting moment applied to it, while the inner cylinder is stationary. The displacements, reversible and irreversible deformations, stresses at all stages of deformation, including residual deformations and stresses under full unloading, are calculated.

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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.