scholarly journals A Two-Dimensional Generalized Electromagnetothermoelastic Diffusion Problem for a Rotating Half-Space

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Jingrui Zhang ◽  
Yanyan Li
Keyword(s):  
Magnetic Field ◽  
Finite Element ◽  
Half Space ◽  
Chemical Potential ◽  
Diffusion Problem ◽  
Two Dimensional ◽  
Constant Intensity ◽  
Thermoelastic Wave ◽  
Thermoelastic Diffusion ◽  
Nondimensional Temperature

In the context of the theory of generalized thermoelastic diffusion, a two-dimensional generalized electromagnetothermoelastic problem with diffusion for a rotating half-space is investigated. The rotating half-space is placed in an external magnetic field with constant intensity and its bounding surface is subjected to a thermal shock and a chemical potential shock. The problem is formulated based on finite element method and the derived finite element equations are solved directly in time domain. The nondimensional temperature, displacement, stress, chemical potential, concentration, and induced magnetic field are obtained and illustrated graphically. The results show that all the considered variables have a nonzero value only in a bounded region and vanish identically outside this region, which fully demonstrates the nature of the finite speeds of thermoelastic wave and diffusive wave.

FINITE ELEMENT METHOD TO A GENERALIZED ELECTROMAGNETO-THERMOELASTIC PROBLEM WITH DIFFUSION

2012 ◽  
Vol 04 (04) ◽  
pp. 1250046 ◽  
Author(s):  
TIANHU HE ◽  
YANYAN LI ◽  
SHUANHU SHI
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Finite Element ◽  
Half Space ◽  
Chemical Potential ◽  
Thermoelastic Problem ◽  
Constant Intensity ◽  
Thermoelastic Wave ◽  
Thermoelastic Diffusion ◽  
Element Method

In the context of the theory of generalized thermoelastic diffusion, a two-dimensional generalized electromagneto-thermoelastic problem with diffusion for a half-space is investigated. The half-space is placed in an external magnetic field with constant intensity and its bounding surface is subjected to a thermal shock and a chemical potential shock. The governing equations of the problem are formulated and solved numerically by means of finite element method. The derived finite element equations are solved directly in time domain. The nondimensional temperature, displacement, stress, chemical potential, concentration and induced magnetic field are obtained and illustrated graphically. The results show that all the considered variables have a nonzero value only in a bounded region and vanish identically outside this region, which fully demonstrates the nature of the finite speeds of thermoelastic wave and diffusive wave.

The Effects of Diffusion and Temperature-Dependent Properties on Generalized Thermoelastic Behaviors in Thermal Dynamics

2012 ◽  
Vol 625 ◽  
pp. 318-322 ◽  
Author(s):  
Yong Ping Liu ◽  
Shuan Hu Shi
Keyword(s):  
Finite Element ◽  
Diffusion Problem ◽  
Temperature Dependent ◽  
Thermal Dynamics ◽  
Thermoelastic Wave ◽  
Diffusion Wave ◽  
Thermoelastic Diffusion ◽  
Generalized Thermoelastic Diffusion ◽  
Generalized Thermoelastic ◽  
Temperature Dependent Properties

The generalized thermoelastic diffusion problem with temperature-dependent properties is investigated in the context of the theory of generalized thermoelastic diffusion. The problem is solved by means of finite element method and the derived finite element equations are solved directly in time domain. The effects of diffusion and temperature-dependent properties on generalized thermoelastic wave and mass diffusion wave are studied in detail. The results show that all the considered variables have a non-zero value only in a bounded region and vanish identically beyond this region, the temperature-dependent properties act to reduce all the considered variables and the diffusion barely influences the considered variables.

A Green and Naghdi Model in a Two-Dimensional Thermoelastic Diffusion Problem for a Half Space

2015 ◽  
Vol 12 (2) ◽  
pp. 280-286 ◽  
Author(s):  
IbrahimA. Abbas ◽  
Marin Marin ◽  
ElbazI. Abouelmagd ◽  
Rajneesh Kumar
Keyword(s):  
Half Space ◽  
Diffusion Problem ◽  
Two Dimensional ◽  
Thermoelastic Diffusion

A Two Dimensional Axisymmetric Thermoelastic Diffusion Problem of Micropolar Porous Circular Plate with Dual Phase Lag Model

2020 ◽  
Vol 22 (4) ◽  
pp. 1389-1406
Author(s):  
Rajneesh Kumar ◽  
Aseem Miglani ◽  
Rekha Rani
Keyword(s):  
Circular Plate ◽  
Chemical Potential ◽  
Volume Fraction ◽  
Diffusion Problem ◽  
Phase Lag ◽  
Dual Phase ◽  
Two Dimensional ◽  
Thermoelastic Diffusion ◽  
Field Temperature ◽  
Lag Model

AbstractIn the present work, we consider a two dimensional axisymmetric problem of micropolar porous circular plate with thermal and chemical potential sources in the context of the theory of dual phase lag generalized thermoelastic diffusion. The potential functions are used to analyze the problem. The Laplace and Hankel transforms techniques are used to find the expressions of displacements, microrotation, volume fraction field, temperature distribution, concentration and stresses in the transformed domain. The inversion of transforms based on Fourier expansion techniques is applied to obtain the results in the physical domain. The numerical results for resulting quantities are obtained and depicted graphically. Effect of porosity, LS theory and phase lag are presented on the resulting quantities. Some particular cases are also deduced.

Elasto-Plastic Coupled Temperature-Displacement Finite Element Analysis of Two-Dimensional Rolling-Sliding Contact With a Translating Heat Source

1991 ◽  
Vol 113 (1) ◽  
pp. 93-101 ◽  
Author(s):  
S. M. Kulkarni ◽  
C. A. Rubin ◽  
G. T. Hahn
Keyword(s):  
Finite Element ◽  
Half Space ◽  
Plastic Material ◽  
Element Model ◽  
Rolling Contact ◽  
Two Dimensional ◽  
Element Analysis ◽  
Element Mesh ◽  
Perfectly Plastic ◽  
Elastic Perfectly Plastic

The present paper, describes a transient translating elasto-plastic thermo-mechanical finite element model to study 2-D frictional rolling contact. Frictional two-dimensional contact is simulated by repeatedly translating a non-uniform thermo-mechanical distribution across the surface of an elasto-plastic half space. The half space is represented by a two dimensional finite element mesh with appropriate boundaries. Calculations are for an elastic-perfectly plastic material and the selected thermo-physical properties are assumed to be temperature independent. The paper presents temperature variations, stress and plastic strain distributions and deformations. Residual tensile stresses are observed. The magnitude and depth of these stresses depends on 1) the temperature gradients and 2) the magnitudes of the normal and tangential tractions.

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