Variational integrators for the dynamics of thermo-elastic solids with finite speed thermal waves
نویسندگان
چکیده
Article history: Received 31 August 2012 Received in revised form 2 July 2013 Accepted 15 September 2013 Available online 2 October 2013
منابع مشابه
Wave Propagation in Mixture of Generalized Thermoelastic Solids Half-Space
This paper concentrates on the reflection of plane waves in the mixture of generalized thermo elastic solid half-space. There exists quasi dilatational waves i.e. qP1, qP2, qT and two rotational waves S1, S2 in a two dimensional model of the solid. The boundary conditions are solved to obtain a system of five non-homogeneous equations for amplitude ratios. These amplitude ratios are found to de...
متن کاملStress Waves in a Generalized Thermo Elastic Polygonal Plate of Inner and Outer Cross Sections
The stress wave propagation in a generalized thermoelastic polygonal plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermoelastic plate of polygonal shape, composed of homogeneous isotropic material. The freque...
متن کاملDynamic 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 کاملThree-dimensional Magneto-thermo-elastic Analysis of Functionally Graded Truncated Conical Shells
This work deals with the three-dimensional magneto-thermo-elastic problem of a functionally graded truncated conical shell under non-uniform internal pressure and subjected to magnetic and thermal fields. The material properties are assumed to obey the power law form that depends on the thickness coordinate of the shell. The formulation of the problem begins with the derivation of fundamental r...
متن کاملTransient thermo-visco-elastic response of a functionally graded non-axisymmetric cylinder
In this study, the analysis of transient thermoelastic response of a functionally graded (FG) non-axisymmetric viscoelastic cylinder is presented. The material properties are assumed to be time- dependent and radially and circumferentially non-homogeneous. The finite element (FE) formulations of the thermoelastic problem are obtained using the virtual work method and all the coupling terms are ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Comput. Physics
دوره 257 شماره
صفحات -
تاریخ انتشار 2014