A Numerical Solution for a Class of Problems of Finite Elastic Deformations PDF Download

Author: Eric B. Becker
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 128

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Author: N. Kikuchi
Publisher: SIAM
ISBN: 9781611970845
Category : Science
Languages : en
Pages : 508

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Book Description
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.

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 230

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Book Description

Author: Herbert David Shatoff
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 250

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Book Description

Author: R. W. Ogden
Publisher: Courier Corporation
ISBN: 0486318710
Category : Technology & Engineering
Languages : en
Pages : 562

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Book Description
Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.

Author:
Publisher:
ISBN:
Category : Engines
Languages : en
Pages : 232

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Book Description

Author: J Whiteman
Publisher: Elsevier
ISBN: 0323143717
Category : Mathematics
Languages : en
Pages : 669

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Book Description
The Mathematics of Finite Elements and Applications V is the summary of invited papers and the abstracts of the poster papers in the fifth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1984, held at Brunei University in May 1984. Said symposium discussedfield of finite elements, including its techniques, theory, application, and implementation . The coverage of the book includes a wide range of mathematical topics under finite elements, including its method, calculations, analysis, and applications. The book also encompasses topics of computer-generated geometric design interface; modeling in an integrated computer design; and determination of dimensional field lines. Acidized channels in chalk formations, elastodynamics, stress analysis, and infinite elements are also discussed. The book also looks at isoparametric and hierarchical element procedures and Petrov-Galerkin methods. The text is recommended for mathematicians, engineers, and those in the field of information technology who would like to know more about finite elements and its applications in their respective fields.

Author: Takao Endo
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 128

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Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 276

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Author: American Society of Mechanical Engineers. Committee on Computing in Applied Mechanics
Publisher:
ISBN:
Category : Electronic data processing
Languages : en
Pages : 238

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Book Description