TY - JOUR
TI - On Spatial Evolution of the Solution of a Nonstandard Problem in Linear Thermo-Microstretch Elasticity
VL - 2011
PY - 2011
DA - 2011/08/23
DO - 10.1155/2011/929176
UR - https://doi.org/10.1155/2011/929176
AB - An anisotropic and nonhomogeneous compressible linear thermo-microstretch elastic cylinder is subject to zero body loads and heat supply and zero lateral specific boundary conditions. The motion is induced by a time-dependent displacement, microrotation, microstretch, and temperature variation specified pointwise over the base. Further, the motion is constrained such that the displacement, microrotation, microstretch and temperature variation and their derivatives with respect to time at points in the cylinder and at a prescribed time are given in proportion to, but not identical with, their respective initial values. Two different cases for these proportional constants are treated. It is shown that certain integrals of the solution spatially evolve with respect to the axial variable. Conditions are derived that show that the integrals exhibit alternative behavior and in particular for the semi-infinite cylinder that there is either at least exponential growth or at most exponential decay.
JF - Mathematical Problems in Engineering
SN - 1024-123X
PB - Hindawi Publishing Corporation
SP - 929176
KW -
A2 - Luongo, Angelo
AU - Bulgariu, Emilian
ER -