A nonlinear theory for elastic bars under tension
type: Item
instance of: scholarly article
title: A nonlinear theory for elastic bars under tension
zbMATH Open document ID: 0808.73037
DOI: 10.1016/0093-6413(94)90053-1
published in: Mechanics Research Communications
publication date: 1995-03-21T00:00:00Z
review text: A complete constitutive theory is proposed. The study is restricted to quasi-static and isothermal processes in elastic materials. Inequalities that restrict the physically inadmissible processes are postulated, and the information about the material behavior is obtained from a free energy potential. Based on a particular form for the free energy, the possibility of occurring nonhomogeneous deformation on bars in tension, whenever the appropriate boundary conditions are adopted, is investigated. The results of some simulations are presented.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 699148
zbMATH Keywords: constitutive theory
zbMATH Keywords: quasi-static and isothermal processes
zbMATH Keywords: free energy potential
zbMATH Keywords: nonhomogeneous deformation
author: Fernando A. Rochinha
author: Heraldo S. Costa Mattos
MaRDI profile type: Publication
full work available at URL: 0093-6413(94)90053-1
OpenAlex ID: W2010759667
Recommended article: Analytic solutions for nonlinear differential equations describing the elastica of straight bars: Theory
Recommended article: On the nonlinear bending of a hyperstatic bar
Recommended article: Nonlinear asymptotic analysis in elastica of straight bars---analytical parametric solutions
Recommended article: Elastica type buckling analysis of bars from nonlinearly elastic material
Recommended article: Q3716418
Recommended article: A nonlinear theory of prestressed elastic stick-and-spring structures
Recommended article: Global buckling load of a nonlinearly elastic bar
Recommended article: Nonlinear theory for elastic spatial rods
Recommended article: Nonlinear elasticity: Theory and applications
Recommended article: Q3758316
description: scientific article; zbMATH DE number 699148