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半平面横观各向同性热弹体三维热应力分析

TOKOVYY Yuriy BOIKO Dmytro 高存法

南京航空航天大学学报(英文版)2021,Vol.38Issue(1):18-28,11.
南京航空航天大学学报(英文版)2021,Vol.38Issue(1):18-28,11.

半平面横观各向同性热弹体三维热应力分析

Three-Dimensional Thermal-Stress Analysis of Semi-infinite Transversely Isotropic Composites

TOKOVYY Yuriy 1BOIKO Dmytro 2高存法1

作者信息

  • 1. 乌克兰科学院应用力学与数学研究所,利沃夫 79060,乌克兰
  • 2. 乌克兰利沃夫理工大学应用数学与基础科学系,利沃夫 79000,乌克兰
  • 折叠

摘要

Abstract

By making use of the direct integration method,an exact analysis of the general three-dimensional thermoelasticity problem is performed for the case of a transversely isotropic homogeneous half-space subject to localthermal and force loadings. The material plane of isotropy is assumed to be parallel to the limiting surface of the half-space. By reducing the original thermoelasticity equations to the governing ones for individual stress-tensor components,the effect of material anisotropy in the stress field is analyzed with regard to the feasibility requirement, i.e.,the finiteness of the stress field at a distance from the disturbed area. As a result,the solution is constructed in the form of explicit analytical dependencies on the force and thermal loadings for various kinds of transversely isotropic materials and agrees with the basic principles of the continua mechanics. The solution can be efficiently used as a benchmark one for the direct computation of temperature and thermal stresses in transversely isotropic semi-infinite domains,as well as for the verification of solutions constructed by different means.

关键词

三维问题/解析解/横观各向同性复合材料/半无限模型/力学-热学加载/有限应力分布

Key words

three-dimensional problem/analytical solution/transversely isotropic composites/semi-infinite model/force and thermal loadings/finite stress distributions

分类

数理科学

引用本文复制引用

TOKOVYY Yuriy,BOIKO Dmytro,高存法..半平面横观各向同性热弹体三维热应力分析[J].南京航空航天大学学报(英文版),2021,38(1):18-28,11.

基金项目

This work was supported by Joint Fund of Advanced Aerospace Manufacturing Technology Research(No.U1937601) (No.U1937601)

the second co-author gratefully acknowledges the partial financial support of this research by the budget program of Ukraine"Support for the Develop?ment of Priority Research Areas"(No.CPCEC 6451230). (No.CPCEC 6451230)

南京航空航天大学学报(英文版)

OACSCDCSTPCD

1005-1120

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