Singular stress fields at V-notch tips in elastoplastic pressure-sensitive materials
type: Item
instance of: scholarly article
title: Singular stress fields at V-notch tips in elastoplastic pressure-sensitive materials
zbMATH Open document ID: 0879.73050
DOI: 10.1007/BF01410514
author: Juan-Miguel Gracia
published in: Acta Mechanica
publication date: 1998-01-22T00:00:00Z
review text: The author presents an asymptotic analysis of stress fields at the apex notch tip for a pressure-sensitive material. The constitutive behaviour of the continuum is described by the Ramberg-Osgood stress-strain relation, together with a modified Drucker-Prager yield criterion. A two-term expansion of the plane strain, respectively plane stress solutions is examined. The leading-order problem consists of four nonlinear homogeneous ordinary differential equations, while the second-order problem is formulated by using inhomogeneous ordinary differential equations. The equations are solved by multiple-shooting technique combined with a semi-extrapolating integrator. For the plane strain problem, the solution with separated variables can be reduced to some pressure sensitivities, while it is not the case for the plane stress solution. Finally, the author gives a parametric analysis of the singularity structure depending on the notch angle.
reviewed by: Olivian Simionescu
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 1004510
zbMATH Keywords: plane stress problem
zbMATH Keywords: asymptotic analysis
zbMATH Keywords: Ramberg-Osgood stress-strain relation
zbMATH Keywords: modified Drucker-Prager yield criterion
zbMATH Keywords: two-term expansion
zbMATH Keywords: multiple-shooting technique
zbMATH Keywords: semi-extrapolating integrator
zbMATH Keywords: plane strain problem
zbMATH Keywords: parametric analysis
zbMATH Keywords: notch angle
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1004510