State space approach to generalized thermoelastic problem with thermomechanical shock

DOI10.1016/j.amc.2003.08.009zbMath1108.74012OpenAlexW1984919673MaRDI QIDQ1888575

Nasser M. El-Maghraby, Hamdy M. Yossef

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.009

zbMATH Keywords

ElasticityState spaceThermoelasticityMechanical shock

Mathematics Subject Classification ID

Shocks and related discontinuities in solid mechanics (74J40) Thermal effects in solid mechanics (74F05)

Related Items (13)

Generalized solutions of transient thermal shock problem with bounded boundaries ⋮ Effects of three-phase-lag on two-temperature generalized thermoelasticity for infinite medium with spherical cavity ⋮ Thermal shock problem of a generalized thermoelastic layered composite material with variable thermal conductivity ⋮ Generalized solution of the thermoelastic problem for the axisymmetric structure with temperature-dependent properties ⋮ Statistical approach to studying generalized magnetothermoelasticity ⋮ Two-dimensional generalized thermoelasticity problem for a half-space subjected to ramp-type heating ⋮ LS model on thermal shock problem of generalized magneto-thermoelasticity for an infinitely long annular cylinder with variable thermal conductivity ⋮ Investigation on the transient response of a porous half-space with strain and thermal relaxations ⋮ State space approach to boundary value problem for thermoelastic material with double porosity ⋮ A stochastic Galerkin approach to uncertainty quantification in poroelastic media ⋮ Two-dimensional problem of a two-temperature generalized thermoelastic half-space subjected to ramp-type heating ⋮ State-space approach of two-temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading ⋮ A two-dimensional thermoelasticity problem for thermomechanical shock with two relaxation times

Cites Work

• A method for the numerical inversion of Laplace transforms
• A generalized dynamical theory of thermoelasticity
• Thermoelasticity and Irreversible Thermodynamics
• Generalized thermoelasticity for anisotropic media
• On uniqueness and stability in generalized thermoelasticity

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