Problems about interaction of axisymmetric thermoelastic solids with variable contact zone
type: Item
instance of: scholarly article
zbMATH Open document ID: 1054.74687
author: Volodymyr Onyshkevych
author: Volodymyr` Novosad
publication date: 2001-12-12T00:00:00Z
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 1681836
zbMATH Keywords: contact
zbMATH Keywords: frictional heat generation
zbMATH Keywords: heat conduction
zbMATH Keywords: thermoelasticity
zbMATH Keywords: variable contact zone
zbMATH Keywords: numerical solution
MaRDI profile type: Publication
title: Problems about interaction of axisymmetric thermoelastic solids with variable contact zone
published in: Visnyk L'vivs'kogo Universytetu. Seriya Mekhaniko-Matematychna
review text: Cylindrical stamp of radius \(R\) and height \(l\) rotates with a constant angular velocity \(\omega\) being pressed to elastic half-space by a force \(P(\tau)\). Heat generation by contact friction, non-ideality of thermal contact and heat exchange of non-loaded surfaces with environment are taken into account. Initial temperature of solids and rigid-body displacement of cylinder are zero. The problem is described by equations of thermoelasticity for half-space, heat conduction equations for both bodies, thermal and mechanical boundary conditions and initial conditions. The size of contact zone is unknown. The problem is solved numerically by the method of successfully-discrete separation of boundary conditions. The sequence of operations for solution of the problem is described, a numerical example is considered. Plots of contact pressure are presented.
description: scientific article; zbMATH DE number 1681836