Premium
Well‐posed dual‐phase‐lag model of a thermoelastic dipolar body
Author(s) -
Marin Marin,
Broadbridge Philip,
Öchsner Andreas
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.201700164
Subject(s) - thermoelastic damping , uniqueness , conservation law , mathematical analysis , dual (grammatical number) , mathematics , heat flux , phase (matter) , boundary value problem , mechanics , thermal , physics , thermodynamics , heat transfer , art , literature , quantum mechanics
We consider a time differential model for dual‐phase‐lag thermoelastic dipolar material. For the heat flux with dual‐phase‐lag we introduce a time differential equation to describe the thermal effects, and this is coupled with elastic deformation. Some qualitative results on solutions of the mixed initial boundary value problem, associated with this model, are obtained under mild constitutive restrictions. We will deduce an identity of Lagrange type and will use a conservation law in order to prove the uniqueness of solution, whereas the result of continuous dependence of solution is established by using a Gronwall type inequality and a conservation law.