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The Resource Contact problems in elasticity : a study of variational inequalities and finite element methods, N. Kikuchi and J.T. Oden, (electronic resource)

Contact problems in elasticity : a study of variational inequalities and finite element methods, N. Kikuchi and J.T. Oden, (electronic resource)

Label
Contact problems in elasticity : a study of variational inequalities and finite element methods
Title
Contact problems in elasticity
Title remainder
a study of variational inequalities and finite element methods
Statement of responsibility
N. Kikuchi and J.T. Oden
Creator
Contributor
Subject
Language
eng
Summary
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SIAM studies in applied mathematics
Series volume
8
Target audience
adult
Contact problems in elasticity : a study of variational inequalities and finite element methods, N. Kikuchi and J.T. Oden, (electronic resource)
Label
Contact problems in elasticity : a study of variational inequalities and finite element methods, N. Kikuchi and J.T. Oden, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/ebooks/siam/studies_in_applied_and_numerical_mathematics/am08
Publication
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Bibliography note
Includes bibliographical references (p. 475-489) and index
Color
black and white
Contents
Introduction -- Signorini's problem -- Minimization methods and their variants -- Finite element approximations -- Orderings, trace theorems, Green's formulas and Korn's inequalities -- Signorini's problem revisited -- Signorini's problem for incompressible materials -- Alternate variational principles for Signorini's problem -- Contact problems for large deflections of elastic plates -- Some special contact problems with friction -- Contact problems with nonclassical friction laws -- Contact problems involving deformations and nonlinear materials -- Dynamic friction problems -- Rolling contact problems -- Concluding comments
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781611970845&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3128726'}
Extent
1 electronic text (xiii, 485 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611970845
Isbn Type
(electronic bk.)
Other physical details
ill., digital file.
Publisher number
AM08
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

Library Locations

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