The Thermal Relaxation Effect on 2–D Problems of the Generalized Linear Thermo–Viscoelasticity
نویسنده
چکیده
In this paper we introduced the normal mode analysis for two–dimensional problems of the generalized linear thermo–viscoelasticity with one relaxation time. The exact expressions for the temperature distribution, the displacement components and the stress are obtained. The resulting formulation is applied to three different concrete problems. The first deals with a thick plate subjected to a time–dependent heat source on each face. The second concerns to the case of a heated punch moving across the surface of a semi– infinite thermo–viscoelastic half–space subjected to appropriate boundary conditions and the third problem deals with a plate with thermo–isolated surfaces subjected to a time– dependent compression. Numerical results are given and illustrated graphically for each problem. Comparisons are made with the results predicted by the coupled theory.
منابع مشابه
Dynamic Coupled Thermo-Viscoelasticity of a Spherical Hollow Domain
The generalized coupled thermo-viscoelasticity of hollow sphere subjected to thermal symmetric shock load is presented in this paper. To overcome the infinite speed of thermal wave propagation, the Lord-Shulman theory is considered. Two coupled equations, namely, the radial equation of motion and the energy equation of a hollow sphere are obtained in dimensionless form. Resulting equations are ...
متن کاملNon-linear Thermo-mechanical Bending Behavior of Thin and Moderately Thick Functionally Graded Sector Plates Using Dynamic Relaxation Method
In this study, nonlinear bending of solid and annular functionally graded (FG) sector plates subjected to transverse mechanical loading and thermal gradient along the thickness direction is investigated. Material properties are varied continuously along the plate thickness according to power-law distribution of the volume fraction of the constituents. According to von-Karman relation for large ...
متن کاملThe Uniqueness and Reciprocity Theorems for Generalized Thermo-Viscoelasticity with Thermal Relaxation Times
متن کامل
Thermal barrier coating effect on stress and temperature distribution of diesel engines cylinder heads using a two-layer viscoelasticity model with considering viscosity effects
This paper presents finite element analysis (FEA) of a coated and uncoated cylinder heads of a diesel engine to examine the distribution of temperature and stress. A thermal barrier coating system was applied on the combustion chamber of the cylinder heads, consists of two-layer systems: a ceramic top coat (TC), made of yttria stabilized zirconia (YSZ), ZrO2-8%Y2O3 and also a metallic bond coat...
متن کاملAn Exact Solution for Kelvin-Voigt Model Classic Coupled Thermo Viscoelasticity in Spherical Coordinates
In this paper, the classic Kelvin-Voigt model coupled thermo-viscoelasticity model of hollow and solid spheres under radial symmetric loading condition is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body force, and the heat source are considered in the most general fo...
متن کامل