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General solutions for elasticity of transversely isotropic materials with thermal and other effects: A review

机译：具有热效应和其他效应的横向各向同性材料弹性的一般解决方案：综述

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摘要

The well-known general solution for uncoupled thermoelasticity of isotropic bodies was proposed by Goodier, which has been utilized extensively since its birth in 1937. When the steady-state response is considered, the temperature field satisfies Laplace's equation, and the corresponding elastic field can be expressed in terms of a harmonic function, giving rise to the Williams solution. However, for anisotropic bodies, there are no steady-state thermoelastic general solutions that are expressed in terms of (quasi)harmonic functions until 2000. This article presents a short review of the harmonic general solutions for uncoupled elasticity of transversely isotropic materials with thermal and other effects. These solutions are obtained by simply but forcedly combining the heat conduction equation with other governing equations (e.g., the Navier equations). We will show that the Williams solution as well as some other solutions all can be deduced as the special cases. Two application scenarios of the general solutions are also highlighted to demonstrate their elegance and versatility.
机译：自从1937年诞生以来，Goodier提出了各向同性物体非耦合热弹性的众所周知的通用解决方案。考虑稳态响应时，温度场满足拉普拉斯方程，相应的弹性场可以用谐波函数表示，从而产生了威廉姆斯解。但是，对于各向异性体，直到2000年为止，尚没有以（准）谐波函数表示的稳态热弹性通用解。本文简要介绍了横向各向同性材料在热和振动作用下的非耦合弹性的谐波通用解。其他效果。这些解决方案是通过简单但强制地将导热方程式与其他控制方程式（例如Navier方程式）组合而获得的。我们将展示Williams解决方案以及其他一些解决方案都可以推导出为特例。还重点介绍了通用解决方案的两种应用场景，以展示其优雅性和多功能性。

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  • 来源
    《Journal of thermal stresses》 |2019年第3期|90-106|共17页
  • 作者

    Chen W. Q.; Zhu J.; Li X. Y.;

  • 作者单位

    Zhejiang Univ, State Key Lab CAD & CG, Hangzhou 310027, Zhejiang, Peoples R China|Zhejiang Univ, Key Lab Soft Machines & Smart Devices Zhejiang Pr, Hangzhou, Zhejiang, Peoples R China|Zhejiang Univ, Dept Engn Mech, Hangzhou, Zhejiang, Peoples R China|Nantong Blue Isl Ocean Engn Co, Nantong, Peoples R China;

    Nantong Blue Isl Ocean Engn Co, Nantong, Peoples R China;

    Southwest Jiaotong Univ, State Key Lab Tract Power, Chengdu, Sichuan, Peoples R China|Southwest Jiaotong Univ, Sch Mech & Engn, Appl Mech & Struct Safety Key Lab Sichuan Prov, Chengdu, Sichuan, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Thermoelasticity; transverse isotropy; general solution; multi-field coupling; boundary-value problem;

    机译：热弹性;横向各向同性;通解;多场耦合;边值问题;

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