Hybrid and Incompatible Finite Element Methods

Hybrid and Incompatible Finite Element Methods
Author :
Publisher : CRC Press
Total Pages : 395
Release :
ISBN-10 : 9781135442217
ISBN-13 : 1135442215
Rating : 4/5 (17 Downloads)

Book Synopsis Hybrid and Incompatible Finite Element Methods by : Theodore H.H. Pian

Download or read book Hybrid and Incompatible Finite Element Methods written by Theodore H.H. Pian and published by CRC Press. This book was released on 2005-11-04 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Hybrid and Incompatible Finite Element Methods Related Books

Hybrid and Incompatible Finite Element Methods
Language: en
Pages: 395
Authors: Theodore H.H. Pian
Categories: Mathematics
Type: BOOK - Published: 2005-11-04 - Publisher: CRC Press

DOWNLOAD EBOOK

While the theory and application of finite elements methods can be extended to incompatible, hybrid, and mixed element methods, important issues, such as determ
Hybrid and Incompatible Finite Element Methods
Language: en
Pages: 400
Authors: Theodore H.H. Pian
Categories: Mathematics
Type: BOOK - Published: 2005-11-04 - Publisher: Chapman and Hall/CRC

DOWNLOAD EBOOK

While the theory and application of finite elements methods can be extended to incompatible, hybrid, and mixed element methods, important issues, such as determ
Hybrid and Incompatible Finite Element Methods
Language: en
Pages: 400
Authors: Theodore H.H. Pian
Categories: Mathematics
Type: BOOK - Published: 2005-11-04 - Publisher: CRC Press

DOWNLOAD EBOOK

While the theory and application of finite elements methods can be extended to incompatible, hybrid, and mixed element methods, important issues, such as determ
Smoothed Point Interpolation Methods
Language: en
Pages: 697
Authors: Gui-Rong Liu
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: World Scientific

DOWNLOAD EBOOK

This book describes the various Smoothed Point Interpolation Method (S-PIM) models in a systematic, concise and easy-to-understand manner. The underlying princi
Smoothed Point Interpolation Methods: G Space Theory And Weakened Weak Forms
Language: en
Pages: 697
Authors: Gui-rong Liu
Categories: Technology & Engineering
Type: BOOK - Published: 2013-08-16 - Publisher: World Scientific

DOWNLOAD EBOOK

Based on the widely used finite element method (FEM) and the latest Meshfree methods, a next generation of numerical method called Smoothed Point Interpolation