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(Ebook) Hybrid and Incompatible Finite Element Methods by Theodore H.H. Pian, Chang-Chun Wu ISBN 9781584882763, 158488276X

  • SKU: EBN-1385342
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Authors:Theodore H.H. Pian, Chang-Chun Wu
Pages:395 pages.
Year:2005
Editon:1
Publisher:Chapman and Hall/CRC
Language:english
File Size:14.49 MB
Format:pdf
ISBNS:9781584882763, 158488276X
Categories: Ebooks

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(Ebook) Hybrid and Incompatible Finite Element Methods by Theodore H.H. Pian, Chang-Chun Wu ISBN 9781584882763, 158488276X

While the theory and application of finite elements methods can be extended to incompatible, hybrid, and mixed element methods, important issues, such as determining the reliability of the solution of incompatible multivariable elements, along with a common perception of impracticality, have hindered the widespread implementation of these methods. Today, however, recent advances--many directly attributable to these authors--have allowed the development of the stability theory and abstract mathematics to useful tools.

Hybrid and Incompatible Finite Element Methods introduces these advances in the theory and applications of incompatible and multivariable finite element methods. After an overview of the variation formulation of finite element methods in solid mechanics, the authors discuss the fundamental theory and systematically demonstrate the theoretical foundations of incompatible elements and their application to different problems in the theory of elasticity. They also introduce new ideas in the development of hybrid finite elements, study the numerical stability of the hybrid and mixed element, and establish the theory of zero energy deformation modes. The final chapters, explore applications to fracture problems, present a bound analysis for fracture parameters, and demonstrate an implementation of a finite element analysis program.

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