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Coupling of Elastic and Failure Properties of Initially Anisotropic Solids by Means of the Elliptic Paraboloid Failure Surface (EPFS) Criterion
Author(s) -
Theocaris P. S.,
Philippidis T. P.
Publication year - 1992
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.19920721106
Subject(s) - paraboloid , anisotropy , elasticity (physics) , tensor (intrinsic definition) , context (archaeology) , mathematical analysis , cauchy stress tensor , surface (topology) , compression (physics) , hydrostatic equilibrium , mathematics , materials science , physics , geometry , geology , composite material , optics , paleontology , quantum mechanics
The anisotropic failure criterion of the elliptic paraboloid failure surface is generally stated and appropriately formulated according to two postulates concerning safe loading paths. First the criterion is established for the generic anisotropic solid by assuming that it does not fail under hydrostatic compression and in the sequel a new hypothesis is conjectured according to which safe loading is the stress tensor whose associated strain tensor, in the context of Hookean elasticity, is spherical.