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)
- 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
- Language
- eng
- Extent
- 1 electronic text (xiii, 485 p.)
- 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
- Isbn
- 9781611970845
- 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
- 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
- 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
- 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
- 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
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- 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/Contact-problems-in-elasticity--a-study-of/gbPcbiD9br8/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/Contact-problems-in-elasticity--a-study-of/gbPcbiD9br8/">Contact problems in elasticity : a study of variational inequalities and finite element methods, N. Kikuchi and J.T. Oden, (electronic resource)</a></span> - <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>
