Premium
Decoupling of the quasistatic system of thermoelasticity with Riemann problems on the bounded simply connected domain
Author(s) -
Lin Juan,
Xu Yongzhi,
Li Heng
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4669
Subject(s) - quasistatic process , mathematics , decoupling (probability) , bounded function , mathematical analysis , boundary value problem , domain (mathematical analysis) , riemann hypothesis , boundary (topology) , physics , quantum mechanics , control engineering , engineering
Under the displacement and stress satisfying Riemann boundary value condition, the decoupled quasistatic linear thermoelasticity system is discussed on bounded simply connected domain. The quasistatic equilibrium equation is solved by using Riemann boundary value problem theory. Also decoupled temperature equation is studied by applying the contractive mapping principle. Finally, existence and analyticity of the solution are proved.