Large axisymmetrical elasto-plastic deformations of circular plates in shape forming processes
type: Item
instance of: scholarly article
zbMATH Open document ID: 1054.74632
author: Mykhajlo Mykhajlyshyn
author: Iryna Kapatsila
publication date: 2001-12-12T00:00:00Z
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74C05
zbMATH DE Number: 1681833
zbMATH Keywords: circular plate
zbMATH Keywords: large deformation
zbMATH Keywords: physical nonlinearity
zbMATH Keywords: geometrical nonlinearity
zbMATH Keywords: numerical solution
MaRDI profile type: Publication
Recommended article: Axisymmetric deformation of a materially nonlinear circular plate
Recommended article: Large plastic deformations accompanying the growth of an elliptical hole in a thin plate
Recommended article: Q3750281
Recommended article: Highly nonlinear deformation of uniformly-loaded circular plates
Recommended article: Effect of pulse shape and distribution on the plastic deformation of a circular plate
Recommended article: Q3817712
Recommended article: Analytical study on growth-induced axisymmetric deformations and shape-control of circular hyperelastic plates
Recommended article: Dynamic large deflection analysis of elastic-plastic Mindlin circular plates
Recommended article: Q4938761
Recommended article: Elastic-plastic large deflection analysis of axisymmetric shells
title: Large axisymmetrical elasto-plastic deformations of circular plates in shape forming processes
published in: Visnyk L'vivs'kogo Universytetu. Seriya Mekhaniko-Matematychna
review text: Axisymmetrical problem of forming elastic shells of revolution by plastic deformation of plane circular rough workplaces under uniformly distributed normal pressure is considered. Equilibrium equations for deformed geometry and nonlinear geometrical relations are used. It is assumed that at all points of structure simple loading is realized the Kirchhoff-Love hypotheses and the deformation plasticity theory are applicable. The complete system of geometrically and physically nonlinear governing equations is written. Algorithm of numerical solution of the problem is described. Linearization of physical nonlinearity is done by the method of variable parameters of elasticity. Geometrical nonlinearity is linearized by the Newton-Kantorovich technique. A numerical example is considered, plots of stress resultants, couples and shape of deformed surface are presented.
description: scientific article; zbMATH DE number 1681833