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Application of fractional order theory of thermoelasticity to a 1D problem for a half‐space
Author(s) -
Sherief H.H.,
Abd ElLatief A.M.
Publication year - 2014
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.201200173
Subject(s) - laplace transform , space (punctuation) , order theory , thermal shock , displacement (psychology) , order (exchange) , mathematics , half space , fractional calculus , mathematical analysis , work (physics) , distribution (mathematics) , shock (circulatory) , physics , computer science , thermodynamics , psychology , finance , economics , psychotherapist , operating system , medicine
In this work, we apply the fractional order theory of thermoelasticity to a 1D thermal shock problem for a half‐space. Laplace transform techniques are used. The predictions of the theory are discussed and compared with those for the coupled and generalized theories of thermoelasticity. Numerical results are computed and represented graphically for the temperature, displacement and stress distributions.