A form of the particular solution of thermoelasticity equations for transversely isotropic bodies

DOI10.1016/0021-8928(88)90139-6zbMath0703.73005OpenAlexW2088488917MaRDI QIDQ916448

A. N. Borodachev

Publication date: 1988

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(88)90139-6

zbMATH Keywords

exact analytic solutioncontact pressureisothermal casecombined inhomogeneous second- order differential equationsElliott solutionfourth-order inhomogeneus partial differential equationheated rigid stamplinear uncoupled quasistatic thermoelasticityNowacki solutionSingh solutiontwo-dimensional integral equation of the first kind

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Contact in solid mechanics (74M15) Thermodynamics in solid mechanics (74A15) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Cites Work

• On a method of solving a two-dimensional integral equation of the first kind with a power-law kernel and its application to contact problems
• On the completeness of a set of stress functions appropriate to the solution of elasticity problems in general cylindrical coordinates
• Eigenfunctions at a Singular Point in Transversely Isotropic Materials Under Axisymmetric Deformations
• On a General Treatise of Three-Dimensional Thermoelastic Problems in Transversely Isotropic Bodies
• THE TRANSFORMATION TO ISOTROPIC FORM OF THE EQUILIBRIUM EQUATIONS FOR A CLASS OF ANISOTROPIC ELASTIC SOLIDS
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