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A new relationship for the experimental‐analytical solution of the axisymmetric thermoelasticity problem
Author(s) -
Ainola L.,
Aben H.
Publication year - 2004
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.200310111
Subject(s) - rotational symmetry , compatibility (geochemistry) , inverse problem , inverse , mathematics , mathematical analysis , mechanics , physics , materials science , geometry , composite material
The following inverse problem of axisymmetric thermoelasticity is considered: stresses σ z and σ rz are determined experimentally but the temperature distribution is not known; the stresses σ r and σ θ are to be determined. By eliminating temperature from the compatibility equations and using the equilibrium equations, a new relationship between the stress components for the axisymmetric thermoelasticity problem has been derived. Using this relationship, a closed form solution of the problem has been obtained.