Thermoelastic field of a transversely isotropic elastic medium containing a penny-shaped crack: exact fundamental solution

DOI10.1016/j.ijsolstr.2003.08.020zbMath1077.74011OpenAlexW2082959136MaRDI QIDQ1434733

S. Rajasekar

Publication date: 12 July 2004

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2003.08.020

zbMATH Keywords

integral equationintegro-differential equationpotential theory methodquasi-harmonic functions

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Brittle fracture (74R10) Thermal effects in solid mechanics (74F05) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (28)

Fundamental solution for transversely isotropic thermoelastic materials ⋮ Three-dimensional Green's functions for a fluid and pyroelectric two-phase material ⋮ Three-dimensional Green's functions for transversely isotropic thermoelastic bimaterials ⋮ 2D Green's functions for semi-infinite orthotropic thermoelastic plane ⋮ Some recent advances in 3D crack and contact analysis of elastic solids with transverse isotropy and multifield coupling ⋮ 3D Green's functions for a transversely isotropic thermoelastic cone ⋮ On 3D problems of thermoelastostatics for transversely isotropic solids with anticracks ⋮ Photo-thermo-elastic wave propagation in an orthotropic semiconductor with a spherical cavity and memory responses ⋮ On the half-infinite crack problem in thermo-electro-elasticity ⋮ A penny-shaped crack in an infinite linear transversely isotropic medium subjected to uniform anti-symmetric heat flux: closed-form solution ⋮ Two-dimensional Green's functions for semi-infinite isotropic thermoelastic plane ⋮ Three-dimensional analytical solution for fluid-saturated transversely isotropic poroelastic multilayer formation ⋮ 2D general solution and fundamental solution for orthotropic thermoelastic materials ⋮ Thermoelastic analysis of a cracked orthotropic strip under heat conduction effect of crack interior ⋮ Axisymmetric thermo-elasticity field in a functionally graded circular plate of transversely isotropic material ⋮ On constitutive equations for thermoelastic dielectric continuum in terms of invariants ⋮ Two-dimensional Green's functions for the fluid and piezoelectric two-phase plane under the line forces and line charge ⋮ A general solution for three dimensional steady-state transversely isotropic hygro-thermo-magneto-piezoelectric media ⋮ General solution for transversely isotropic magneto-electro-thermo-elasticity and the potential theory method ⋮ Thermal stresses in an elastic space with a perfectly rigid flat inclusion under perpendicular heat flow ⋮ Point temperature solution for a penny-shaped crack in an infinite transversely isotropic thermo-piezo-elastic medium ⋮ General steady-state solutions for transversely isotropic thermoporoelastic media in three dimensions and its application ⋮ Two-dimensional steady-state general solution for isotropic thermoelastic materials with applications. II: Green's function for two-phase infinite plane ⋮ An extended thermal-medium crack model ⋮ Green's functions in orthotropic thermoelastic diffusion media ⋮ Thermal shock fracture of an elastic half-space with a subsurface penny-shaped crack via fractional thermoelasticity ⋮ Fundamental solutions of penny-shaped and half-infinite plane cracks embedded in an infinite space of one-dimensional hexagonal quasi-crystal under thermal loading ⋮ Approximate structures of thermoelastic fields induced by a penny-shaped thermal-medium crack in a transversely isotropic layer

This page was built for publication: Thermoelastic field of a transversely isotropic elastic medium containing a penny-shaped crack: exact fundamental solution