A Half-Strip with a Clamped End. A Solution in Series in Papkovich–Fadle Functions

IF 0.6 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2025-03-18 DOI:10.1134/S002565442460630X

M. D. Kovalenko, A. P. Kerzhaev, I. V. Menshova, D. A. Vlasov

引用次数: 0

Abstract

An exact solution to the well-known boundary value problem of the theory of elasticity on the tension of a free half-strip with a rigidly clamped end is obtained. It is represented by series in Papkovich–Fadle eigenfunctions, the coefficients of which are determined in an explicit form. A comparison of the exact solution and numerical one obtained on the basis of the finite element method is given. Asymptotic formulas for the stresses at the corner points of the half-strip are derived.

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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.