Thermal effects on nonlinear acceleration waves in the Biot theory of porous media

Brian Straughan; Vincenzo Tibullo

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Thermal effects on nonlinear acceleration waves in the Biot theory of porous media

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arxiv 1811.11278 v1 pith:4LEIPGIM submitted 2018-11-22 cond-mat.soft physics.flu-dyn

Brian Straughan , Vincenzo Tibullo This is my paper

classification cond-mat.softphysics.flu-dyn

keywords theorynonlinearaccelerationbioteffectsporouswavesamplitudes

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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.

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