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A quasilinear thermoviscoelastic system for shape memory alloys with temperature dependent specific heat

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  • This article extends the previous author's paper [28] on the existence of solutions to a quasilinear thermoviscoelasticity system arising in shape memory alloys. In the present setup we admit a modified energy equation with temperature growing specific heat. Due to such a modification we can solve the problem with stronger thermomechanical nonlinearity which was left open in [28].
    Mathematics Subject Classification: Primary: 74B20, 35K50; Secondary: 35Q72, 74F05.

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