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A contact problem of a thermoelastic rod with voids and microtemperatures
Author(s) -
Berti Alessia,
Naso Maria Grazia
Publication year - 2017
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201600070
Subject(s) - thermoelastic damping , infinity , thermal , thermal contact , mathematical analysis , mechanics , mathematics , classical mechanics , physics , materials science , thermodynamics
A dynamical contact problem describing the mechanical and thermal evolution of an elastic rod with voids and microtemperatures is investigated. The contact is modeled by the classical Signorini condition. The existence of a weak solution is shown by a penalization method and the energy associated to the system is proved to decay exponentially as time goes to infinity.