Jump to ContentJump to Main Navigation
An Introduction to Nonlinear Finite Element Analysis$
Users without a subscription are not able to see the full content.

J. N. Reddy

Print publication date: 2004

Print ISBN-13: 9780198525295

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198525295.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 21 November 2019

Material Nonlinearities and Coupled Problems

Material Nonlinearities and Coupled Problems

Chapter:
(p.389) 10 Material Nonlinearities and Coupled Problems
Source:
An Introduction to Nonlinear Finite Element Analysis
Author(s):

J. N. REDDY

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198525295.003.0010

Nonlinearities arise from two independent sources: nonlinearity due to changes in the geometry or position of the material particles of a continuum, which is called the geometric nonlinearity, and nonlinearity due to the nonlinear material behavior, which is called material nonlinearity. In fluid mechanics and coupled fluid flow and heat transfer, geometric nonlinearity arises as a result of the spatial (or Eulerian) description of motion, and they enter the equations of motion through material time derivative term. This chapter considers material nonlinear formulations and discusses nonlinear elastic and elastic plastic material models for solids and power-law model for viscous incompressible fluids. Nonlinear elastic problems are discussed, along with the small deformation theory of plasticity, ideal plasticity, strain hardening plasticity, elastic plastic analysis of a bar, non-Newtonian fluids, governing equations in cylindrical coordinates, power-law fluids, White-Metzner fluids, and finite element models.

Keywords:   material nonlinearity, finite element models, nonlinear elastic problems, small deformation theory of plasticity, non-Newtonian fluids, heat transfer, ideal plasticity, incompressible fluids, power-law fluids

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .