Hybrid and Incompatible Finite Element Methods (Modern Mechanics and Mathematics) - Hardcover

Pian, Theodore H. H.; Wu, Chang-Chun

 
9781584882763: Hybrid and Incompatible Finite Element Methods (Modern Mechanics and Mathematics)
Hardcover
ISBN 10: 158488276X ISBN 13: 9781584882763
Verlag: Chapman and Hall/CRC, 2005

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Pian\, Theodore H.H.; Wu\, Chang-Chun

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Verlag
Chapman and Hall/CRC
Erscheinungsdatum
2005
Sprache
Englisch
ISBN 10 
158488276X
ISBN 13 
9781584882763
Einband
Gebundene Ausgabe
Anzahl der Seiten
378
Kontakt zum Hersteller
Nicht verfügbar
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