Open AccessExplicit solutions for partial differential equations of Lord-Shulman thermoelasticity
Author(s) -
A. M. Rodionov
Publication year - 2009
Publication title -
theoretical and applied mechanics/theoretical and applied mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.279
H-Index - 6
eISSN - 2406-0925
pISSN - 1450-5584
DOI - 10.2298/tam0902137r
Subject(s) - holomorphic function , relaxation (psychology) , convergence (economics) , mathematics , mathematical analysis , constant (computer programming) , partial differential equation , differential equation , linear differential equation , partial derivative , differential (mechanical device) , physics , computer science , thermodynamics , psychology , social psychology , economics , programming language , economic growth
We consider the Lord-Shulman model of thermoelasticity with one relaxation constant. The corresponding system of four linear partial differential equations is solved by means of holomorphic expansions. We prove the convergence of expansions and study the possibility to convert them in finite sums