TY - JOUR
T1 - Transient Waves Due to Mechanical Loads in Elasto-Thermo-Diffusive Solids
AU - Sharma , J. N.
AU - Sharma , N. K.
AU - Sharma , K. K.
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 87
EP - 108
PY - 2011
DA - 2011/03
SN - 3
DO - http://doi.org/10.4208/aamm.09-m0977
UR - https://global-sci.org/intro/article_detail/aamm/158.html
KW - Diffusion, Laplace transform, small time approximations, wave fronts.
AB - <p style="text-align: justify;">This paper deals with the study of transient waves in a homogeneous isotropic,
solid half-space with a permeating substance in the context of the theory of
generalized elasto-thermodiffusion. The half-space is assumed to be disturbed
due to mechanical loads acting on its boundary. The model comprising of basic
governing differential equations and boundary conditions has been solved by
employing Laplace transform technique. Noting that the second sound effects are
short lived, the small time approximations of solution for various physical
quantities have been obtained and the results are discussed on the possible
wave fronts. In case of continuous and periodic loads acting at the boundary,
the displacement is found to be continuous at each wave front while it is discontinuous
in case of impulsive load. The temperature and concentration fields are found to be
discontinuous at all the wave fronts. The displacement, temperature change and concentration
deviation due to impulsive, continuous and periodic mechanical loads have also been evaluated
in the physical domain at all times by employing numerical inversion technique of integral
transform. The computer simulated numerical results have been presented graphically in respect
of displacement, temperature change and concentration deviation for brass. A significant effect
of mass diffusion has been observed on the behaviour of mechanical and thermal waves.</p>