Thermal effects on nonlinear acceleration waves in the Biot theory of porous media
arXiv:1811.11278 · doi:10.1016/j.mechrescom.2018.08.001
Abstract
We generalize a theory of Biot for a porous solid based on nonlinear elasticity theory to incorporate temperature effects. Acceleration waves are studied in detail in the fully nonlinear theory. The wavespeeds are found explicitly and the amplitudes are then determined. The possibility of shock formation is discussed.