Nonclassical theory of elastoplastic strain of laminated, transversally isotropic tapered shells

Verizhenko, V. E.

doi:10.1007/bf01524169

Cited by 4 publications

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“…Methods for the numerical analysis of the thermoelastoplastic stress-strain state (SSS) of laminated shells made of isotropic and anisotropic materials subjected to inelastic deformation are addressed in [2,9,10,14]. These and some other papers concerned with the SSS of single-layer shells [11, 12, etc.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastoplastic axisymmetric stress-strain state of laminated orthotropic shells

Babeshko

Shevchenko

2004

Int Appl Mech

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A method is proposed for the numerical analysis of the thermoelastoplastic stress-strain state of laminated shells of revolution, made of isotropic and orthotropic materials, under axisymmetric loading. The method is based on the Kirchhoff-Love hypotheses for a layer stack, the theory of deformation along paths of small curvature for isotropic materials, and Hill's theory of flow with isotropic hardening for orthotropic materials. The problem is solved by the method of successive approximations. A numerical example is given.Keywords: laminated shells of revolution, elastoplastic stress-strain state, Hill's theory of flow with isotropic hardening Introduction. Methods for the numerical analysis of the thermoelastoplastic stress-strain state (SSS) of laminated shells made of isotropic and anisotropic materials subjected to inelastic deformation are addressed in [2,9,10,14]. These and some other papers concerned with the SSS of single-layer shells [11, 12, etc.] treat anisotropic materials as physically nonlinear. The paper [8] proposed a method for the numerical analysis of the axisymmetric SSS of laminated shells of revolution made of isotropic and transversely isotropic materials. The method considers the inelastic deformation and loading history of the materials. In the present paper, we generalize the method developed in [8] to laminated shells made of isotropic and orthotropic materials.1. Problem Statement and Basic Relations. Consider a shell of revolution with isotropic and orthotropic layers. The shell, which is initially unstrained and at temperature T T = 0 , is subjected to axisymmetric nonuniform heating and arbitrary

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Section: Introductionmentioning

confidence: 99%