Constitutive equations for describing the elastoplastic deformation of elements of a body along small-curvature paths in view of the stress mode

Autor:	N. N. Tormakhov, R. G. Terekhov, Yu. N. Shevchenko
Rok vydání:	2006
Předmět:	Deformation (mechanics) Mechanical Engineering Mathematical analysis Constitutive equation Stress–strain curve Curvature Stress (mechanics) symbols.namesake Cauchy elastic material Classical mechanics Mechanics of Materials Euler's formula symbols Levy–Mises equations Mathematics
Zdroj:	International Applied Mechanics. 42:421-430
ISSN:	1573-8582 1063-7095
DOI:	10.1007/s10778-006-0098-8
Popis:	Equations relating the components of the stress and strain tensors (constitutive equations) are formulated in terms of Euler coordinates. The equations describe the finite elastoplastic deformation of an isotropic body along paths of small curvature. It is assumed that the stress deviator is coaxial with the plastic-strain differential deviator. The relationships between the first and second invariants of the stress and strain tensors in the case of complex elastoplastic deformation of the body’s elements are determined from base tests on tubular specimens loaded along rectilinear paths for several values of the stress mode angle. Methods for specification of these relationships are proposed. The assumptions adopted to derive the constitutive equations are validated experimentally
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5d4751167718c34be72a07bf1df4d133 https://doi.org/10.1007/s10778-006-0098-8 Zobrazit plný text záznamu Plný text ve formátu PDF