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

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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… Click to show full abstract

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.

Keywords: waves biot; acceleration waves; theory; effects nonlinear; thermal effects; nonlinear acceleration

Journal Title: Mechanics Research Communications
Year Published: 2018

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