Propagation of Plane Waves of a Mode-I Crack for a Generalized Thermoelasticity under Influence of Gravity for Different Theories

Abstract

A general model of the equations of the generalized thermoelasticity for an infinite space weakened by a finite linear opening Mode-I crack is solved. The material is homogeneous isotropic elastic half space. The total deformation of a Mode-I crack in thermoelastic half-space in the context of Lord-Şhulman and Green-Lindsay theories is studied, as well as the coupled theory and the interaction with each other under the influence of gravity. The normal mode analysis is used to obtain the exact expressions for the physical quantities. Comparisons are made with the results between the three theories in the presence and absence of gravity.

Keywords:

• Mode-I crack
• Lord-Şhulman theory
• Green-Lindsay theory
• gravity
• thermoelasticity