Elastoplastic deformation of elements of an isotropic solid along paths of small curvature: Constitutive equations incorporating the stress mode

Autor:	N. N. Tormakhov, R. G. Terekhov, Yu. N. Shevchenko
Rok vydání:	2007
Předmět:	Cauchy elastic material Classical mechanics Mechanics of Materials Cauchy stress tensor Mechanical Engineering Hyperelastic material Mathematical analysis Infinitesimal strain theory Strain energy density function Levy–Mises equations Viscous stress tensor Plane stress Mathematics
Zdroj:	International Applied Mechanics. 43:621-630
ISSN:	1573-8582 1063-7095
DOI:	10.1007/s10778-007-0060-4
Popis:	Constitutive equations relating the components of the stress tensor in a Eulerian coordinate system and the linear components of the finite-strain tensor are derived. These stress and strain measures are energy-consistent. It is assumed that the stress deviator is coaxial with the plastic-strain differential deviator and that the first invariants of the stress and strain tensors are in a nonlinear relationship. In the case of combined elastoplastic deformation of elements of the body, this relationship, as well as the relationship between the second invariants of the stress and strain deviators, is determined from fundamental tests on a tubular specimen subjected to proportional loading at several values of stress mode angle (the third invariant of the stress deviator). Methods to individualize these relationships are proposed. The initial assumptions are experimentally validated. The constitutive equations derived underlie an algorithm for solving boundary-value problems
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::059628868b4bcefabed5b516139d1e63 https://doi.org/10.1007/s10778-007-0060-4 Zobrazit plný text záznamu Plný text ve formátu PDF