Steady state shearing deformation of a generalized neo-Hookean material (Q1342165)

Non-homogeneous, static plane shear under a constant temperature gradient normal to the shear planes is investigated. Fourier's linear law of heat conduction -- the conductivity is independent of the temperature, deformation and temperature gradient-- and a neo-Hookean form of non- linear incompressible hyperelasticity are adapted to this problem. The deformation field due to an imposed temperature difference on two boundary planes, one of which is fixed and the other is stress free, is then investigated numerically. Boundary layer like solutions are found in some circumstances.