Thermoelastostatic equilibrium of a spatial quadrant: Green's function and solution in integrals

DOI10.1007/s00419-012-0625-5zbMath1293.74083OpenAlexW2034533704MaRDI QIDQ396374

Victor Seremet

Publication date: 13 August 2014

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

Full work available at URL: https://doi.org/10.1007/s00419-012-0625-5

zbMATH Keywords

elasticityGreen's functionsheat conductionvolume dilatationGreen-type integral formulaquarter-spacethermoelastic influence functionsthermoelastostatics

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Thermal effects in solid mechanics (74F05) Explicit solutions of equilibrium problems in solid mechanics (74G05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (2)

A new approach to constructing Green's functions and integral solutions in thermoelasticity ⋮ A new efficient unified method to derive new constructive formulas and explicit expressions for plane and spatial thermoelastic Green's functions

Cites Work

• Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept
• New closed-form thermoelastostatic Green function and Poisson-type integral formula for a quarter-plane
• New Poisson's type integral formula for thermoelastic half-space
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