2010/10/13 by Ahmed S. El‐Karamany, El-Karamany, Ahmed S.
Engineering · Materials Science · #Maysel’s formula #Nonlocal and gradient elasticity in micro/nano structures #Numerical methods in engineering #Thermoelastic and Magnetoelastic Phenomena #fundamental solutions #generalized micropolar thermoviscoelasticity #generalized thermoelasticity #green’s functions #viscoelasticity
paper · doi:10.24423/aom.165
openalex publication_date 2010/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/01
Generalizations of Maysel's formula to generalized linear micropolar thermoviscoelasticity is given. Fundamental solutions in the Laplace transform domain are obtained. The results are applicable to the following generalized thermoelasticity theories: Lord-Shulman theory with one relaxation time, Green-Lindsay theory with two relaxation times, Green-Naghdi theory of type III, and the Chandrasekharaiah and Tzou theory with dual-phase lag, as well as to the dynamic coupled theory. The cases of generalized linear micropolar thermoviscoelasticity of the Kelvin-Voigt model, and the generalized linear micropolar thermoelasticity can be obtained from the given results.