A Method for Solving Problems of the Isotropic Elasticity Theory with Bulk Forces in Polynomial Representation

被引：3

作者：

Kuz'menko, V., I ^{[1
]}

Kuz'menko, N., V ^{[1
]}

Levina, L., V ^{[1
]}

Pen'kov, V. B. ^{[1
]}

机构：

[1] Lipetsk State Tech Univ, Lipetsk 398600, Russia

来源：

MECHANICS OF SOLIDS | 2019年 / 54卷 / 05期

关键词：

isotropic elasticity theory; polynomial bulk forces; equilibrium problems; method of boundary states with disturbances; energetic method;

D O I：

10.3103/S0025654419050108

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A method for solving problems in isotropic elasticity theory with polynomial bulk forces is substantiated. The existence of a basis for the state space generated by monomials of random orders, which are the components of a volumetric force, makes it possible to obtain a rigorous description of a corresponding stress-strain state for any polynomial force. Solutions of the basic mixed equilibrium problem are obtained: (1) for a truncated cylinder clamped at the base and exposed to the action of a nonconservative volume force and (2) for a heavy hemisphere clamped at the equatorial section and having a nonhomogeneous shear modulus typical for bodies with subsurface hardening.

引用

页码：741 / 749

页数：9

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