New closed-form thermoelastostatic Green function and Poisson-type integral formula for a quarter-plane

DOI10.1016/J.MCM.2010.09.001zbMath1211.35258OpenAlexW1973317152MaRDI QIDQ534846

Guy Bonnet, Victor Seremet

Publication date: 10 May 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.09.001

zbMATH Keywords

elasticityGreen's functionsheat conductionvolume dilatationthermoelastic influence functionsthermoelastostaticsPoisson-type integral formula

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Thermal effects in solid mechanics (74F05) Explicit solutions of equilibrium problems in solid mechanics (74G05) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

Deformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals ⋮ Thermoelastostatic equilibrium of a spatial quadrant: Green's function and solution in integrals ⋮ Stress analysis for long thermoelastic rods with mixed boundary conditions ⋮ 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 ⋮ Static equilibrium of a thermoelastic half-plane: Green's functions and solutions in integrals

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
• Thermal stresses -- advanced theory and applications
• New Poisson's type integral formula for thermoelastic half-space
• STRESS ANALYSIS AND CONTACT PROBLEMS FOR AN ELASTIC QUARTER-PLANE
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