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Structural Engineering and Mechanics
  Volume 34, Number 3, February20 2010, pages 285-300
DOI: http://dx.doi.org/10.12989/sem.2010.34.3.285
 


Thermomechanical deformation in porous generalized thermoelastic body with variable material properties
Rajneesh Kumar and Savita Devi

 
Abstract
    The two-dimensional deformation of a homogeneous, isotropic thermoelastic half-space with voids with variable modulus of elasticity and thermal conductivity subjected to thermomechanical boundary conditions has been investigated. The formulation is applied to the coupled theory(CT) as well as generalized theories: Lord and Shulman theory with one relaxation time(LS), Green and Lindsay theory with two relaxation times(GL) Chandrasekharaiah and Tzou theory with dual phase lag(C-T) of thermoelasticity. The Laplace and Fourier transforms techniques are used to solve the problem. As an application, concentrated/uniformly distributed mechanical or thermal sources have been considered to illustrate the utility of the approach. The integral transforms have been inverted by using a numerical inversion technique to obtain the components of displacement, stress, changes in volume fraction field and temperature distribution in the physical domain. The effect of dependence of modulus of elasticity on the components of stress, changes in volume fraction field and temperature distribution are illustrated graphically for a specific model. Different special cases are also deduced.
 
Key Words
    thermoelasticity; generalized thermoelasticity; modulus of elasticity; thermal conductivity; thermal relaxation parameters; concentrated/uniformly distributed source; integral transforms.
 
Address
Rajneesh Kumar: Department of Mathematics, Kurukshetra University, Kurukshetra-136119, India
Savita Devi: Department of Mathematics, D.N. College, Hisar-125001, India
 

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