Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mixed And Hybrid Finite Element Analysis Of Problems In Structural Mechanics PDF full book. Access full book title Mixed And Hybrid Finite Element Analysis Of Problems In Structural Mechanics.
| Author | : Junuthula Narasimha Reddy |
| Publisher | : |
| Total Pages | : 112 |
| Release | : 1977 |
| Genre | : Engineering mathematics |
| ISBN | : |
| Author | : Franco Brezzi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 361 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461231728 |
Research on non-standard finite element methods is evolving rapidly and in this text Brezzi and Fortin give a general framework in which the development is taking place. The presentation is built around a few classic examples: Dirichlet's problem, Stokes problem, Linear elasticity. The authors provide with this publication an analysis of the methods in order to understand their properties as thoroughly as possible.
| Author | : J. P. Moitinho de Almeida |
| Publisher | : John Wiley & Sons |
| Total Pages | : 315 |
| Release | : 2017-03-20 |
| Genre | : Technology & Engineering |
| ISBN | : 1118424158 |
A comprehensive treatment of the theory and practice of equilibrium finite element analysis in the context of solid and structural mechanics Equilibrium Finite Element Formulations is an up to date exposition on hybrid equilibrium finite elements, which are based on the direct approximation of the stress fields. The focus is on their derivation and on the advantages that strong forms of equilibrium can have, either when used independently or together with the more conventional displacement based elements. These elements solve two important problems of concern to computational structural mechanics: a rational basis for error estimation, which leads to bounds on quantities of interest that are vital for verification of the output and provision of outputs immediately useful to the engineer for structural design and assessment. Key features: Unique in its coverage of equilibrium – an essential reference work for those seeking solutions that are strongly equilibrated. The approach is not widely known, and should be of benefit to structural design and assessment. Thorough explanations of the formulations for: 2D and 3D continua, thick and thin bending of plates and potential problems; covering mainly linear aspects of behaviour, but also with some excursions into non-linearity. Highly relevant to the verification of numerical solutions, the basis for obtaining bounds of the errors is explained in detail. Simple illustrative examples are given, together with their physical interpretations. The most relevant issues regarding the computational implementation of this approach are presented. When strong equilibrium and finite elements are to be combined, the book is a must-have reference for postgraduate students, researchers in software development or numerical analysis, and industrial practitioners who want to keep up to date with progress in simulation tools.
| Author | : Satya N. Atluri |
| Publisher | : John Wiley & Sons |
| Total Pages | : 608 |
| Release | : 1983 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Theodore H.H. Pian |
| Publisher | : CRC Press |
| Total Pages | : 395 |
| Release | : 2005-11-04 |
| Genre | : Mathematics |
| ISBN | : 1135442215 |
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.
| Author | : Peter Wriggers |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 211 |
| Release | : 2009-06-16 |
| Genre | : Technology & Engineering |
| ISBN | : 3211990941 |
Mixed finite element methods are a tool to solve complex engineering problems of different nature. This subject is treated in the volume from the engineering and the mathematical point. Different applications are considered which depict the value of mixed formulations in engineering on one side. On the other side the mathematical background is provided including proofs of convergence and stability of these methods and adequate solvers for mixed problems are discussed. This broad spectrum yields an indepth treatment of mixed methods from different perspectives.
| Author | : Daniele Boffi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 692 |
| Release | : 2013-07-02 |
| Genre | : Mathematics |
| ISBN | : 3642365191 |
Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity and electromagnetism.
| Author | : Isaac Elishakoff |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 282 |
| Release | : 2003 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 9780198526315 |
The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. This text discusses finite element methods for structures with large stochastic variations.
| Author | : O. C. Zienkiewicz |
| Publisher | : Wiley |
| Total Pages | : 736 |
| Release | : 2000-10-05 |
| Genre | : Technology & Engineering |
| ISBN | : 9780470395042 |
New material on recovery, accuracy, error estimates and adaptivity. Increased coverage of mixed and hybrid methods including the Discontinuous Galerkin and Enhanced Strain Methods. Expanded chapter on incompressible behaviour and stabilization procedures. Up to date coverage of meshless (element free) methods. "...the publication of the first edition was an epoch making event...it is written by...the greatest theorist of the subject. If you are serious about finite elements, this is a book that you simply cannot afford to be without." International Journal of Numerical Methods in Engineering. "...the pre-eminent reference work on finite element analysis." Applied Mechanical Review. "...a very good book...presentation is first class...will be of great assistance to all engineers and scientists interested in the method...a very commendable piece of work.—"Journal of the British Society for Strain Measurement.
| Author | : Michał Kleiber |
| Publisher | : Prentice Hall |
| Total Pages | : 328 |
| Release | : 1993 |
| Genre | : Computers |
| ISBN | : |
Assuming no prior knowledge of numerical methods or finite elements, this textbook includes worked examples, homework assignments and a documented computer program which illustrates the basic aspects of finite element program development. It also explores current issues in finite element analysis.
