Unified complete solutions for the theories of thermoelasticity and poroelasticity

DOI10.1007/BF00040938zbMath0687.73009MaRDI QIDQ1263321

K. Appert

Publication date: 1989

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

solutionisotropic elasticityBiot theoryequationssystem of partial differential equationsfieldmaterials with voidscomplete solutionsBoussinesq-Papkovitch-Neuber typeCauchy-Kovalevski-Somigliana type solutionclassical linearGreen-Lame type solutiontheory of isotropic elasticthreethree different continuum theories

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Thermal effects in solid mechanics (74F05)

Related Items

On a theory of thermoviscoelastic materials with voids ⋮ Potential method in the linear theory of viscoelastic materials with voids ⋮ A porous thermoelastic problem: an a priori error analysis and computational experiments ⋮ A complete solution for a unified system of field equations of thermoelasticity and poroelasticity ⋮ Decomposition methods for coupled 3D equations of applied mathematics and continuum mechanics: partial survey, classification, new results, and generalizations ⋮ On the steady vibrations of elastic materials with voids

Cites Work

• A note on the problem of pure bending for linear elastic materials with voids
• The classical pressure vessel problems for linear elastic materials with voids
• Linear elastic materials with voids
• Plane waves in linear elastic materials with voids
• The viscoelastic behavior of linear elastic materials with voids
• Effects of surface stresses and voids on Rayleigh waves in an elastic solid
• Surface waves in an elastic half-space with voids
• Plane waves in a rotating elastic solid with voids
• Mechanics of Deformation and Acoustic Propagation in Porous Media
• THE STRESSES AROUND A HOLE IN A LINEAR ELASTIC MATERIAL WITH VOIDS
• COMPLETE SOLUTIONS IN THE THEORY OF ELASTIC MATERIALS WITH VOIDS