The Finite Element Method for Solid and Structural Mechanics

The Finite Element Method for Solid and Structural Mechanics PDF Author: O. C. Zienkiewicz
Publisher: Elsevier
ISBN: 0080455581
Category : Technology & Engineering
Languages : en
Pages : 653

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Book Description
This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

The Finite Element Method for Solid and Structural Mechanics

The Finite Element Method for Solid and Structural Mechanics PDF Author: O. C. Zienkiewicz
Publisher: Elsevier
ISBN: 0080455581
Category : Technology & Engineering
Languages : en
Pages : 653

Get Book Here

Book Description
This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

hp-Finite Element Methods for Singular Perturbations

hp-Finite Element Methods for Singular Perturbations PDF Author: Jens M. Melenk
Publisher: Springer
ISBN: 354045781X
Category : Mathematics
Languages : en
Pages : 331

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Book Description
Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously.

Finite Element Modeling of Singluar Problems of Solid Continua

Finite Element Modeling of Singluar Problems of Solid Continua PDF Author: Sameer Lalit Shah
Publisher:
ISBN:
Category : Continuum mechanics
Languages : en
Pages : 140

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Book Description


Finite Element Method

Finite Element Method PDF Author: Michael R. Gosz
Publisher: CRC Press
ISBN: 1351992031
Category : Technology & Engineering
Languages : en
Pages : 430

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Book Description
The finite element method (FEM) is the dominant tool for numerical analysis in engineering, yet many engineers apply it without fully understanding all the principles. Learning the method can be challenging, but Mike Gosz has condensed the basic mathematics, concepts, and applications into a simple and easy-to-understand reference. Finite Element Method: Applications in Solids, Structures, and Heat Transfer navigates through linear, linear dynamic, and nonlinear finite elements with an emphasis on building confidence and familiarity with the method, not just the procedures. This book demystifies the assumptions made, the boundary conditions chosen, and whether or not proper failure criteria are used. It reviews the basic math underlying FEM, including matrix algebra, the Taylor series expansion and divergence theorem, vectors, tensors, and mechanics of continuous media. The author discusses applications to problems in solid mechanics, the steady-state heat equation, continuum and structural finite elements, linear transient analysis, small-strain plasticity, and geometrically nonlinear problems. He illustrates the material with 10 case studies, which define the problem, consider appropriate solution strategies, and warn against common pitfalls. Additionally, 35 interactive virtual reality modeling language files are available for download from the CRC Web site. For anyone first studying FEM or for those who simply wish to deepen their understanding, Finite Element Method: Applications in Solids, Structures, and Heat Transfer is the perfect resource.

Error-controlled Adaptive Finite Elements in Solid Mechanics

Error-controlled Adaptive Finite Elements in Solid Mechanics PDF Author: Ekkehard Ramm
Publisher: John Wiley & Sons
ISBN: 0471496502
Category : Technology & Engineering
Languages : en
Pages : 436

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Book Description
Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has become a hot research topic. This text offers comprehensive coverage of this new field of automatic adaptation and error estimation, bringing together the work of eight outstanding researchers in this field who have completed a six year national research project within the German Science Foundation. The result is a state-of-the-art work in true reference style. Each chapter is self-contained and covers theoretical, algorithmic and software presentations as well as solved problems. A main feature consists of several carefully elaborated benchmarks of 2D- and 3D- applications. First book to go beyond the Finite Element Method in itself Covers material from a new research area Presents benchmarks of 2D- and 3D- applications Fits with the new trend for genetic strategies in engineering

Finite Element Method for Solids and Structures

Finite Element Method for Solids and Structures PDF Author: Sung W. Lee
Publisher: Cambridge University Press
ISBN: 1108497098
Category : Computers
Languages : en
Pages : 369

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Book Description
Explains the basic mathematics needed for a balanced understanding of finite element method theory and its implementation.

Singular Finite Element Methods

Singular Finite Element Methods PDF Author: George J. Fix
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 40

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Book Description


Error-controlled Adaptive Finite Elements in Solid Mechanics

Error-controlled Adaptive Finite Elements in Solid Mechanics PDF Author: Ekkehard Ramm
Publisher: John Wiley & Sons
ISBN: 0470857978
Category : Technology & Engineering
Languages : en
Pages : 422

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Book Description
Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has become a hot research topic. This text offers comprehensive coverage of this new field of automatic adaptation and error estimation, bringing together the work of eight outstanding researchers in this field who have completed a six year national research project within the German Science Foundation. The result is a state-of-the-art work in true reference style. Each chapter is self-contained and covers theoretical, algorithmic and software presentations as well as solved problems. A main feature consists of several carefully elaborated benchmarks of 2D- and 3D- applications. * First book to go beyond the Finite Element Method in itself * Covers material from a new research area * Presents benchmarks of 2D- and 3D- applications * Fits with the new trend for genetic strategies in engineering

Finite Element Analysis of Solids and Structures

Finite Element Analysis of Solids and Structures PDF Author: Sudip S. Bhattacharjee
Publisher: CRC Press
ISBN: 100041230X
Category : Science
Languages : en
Pages : 341

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Book Description
Finite Element Analysis of Solids and Structures combines the theory of elasticity (advanced analytical treatment of stress analysis problems) and finite element methods (numerical details of finite element formulations) into one academic course derived from the author’s teaching, research, and applied work in automotive product development as well as in civil structural analysis. Features Gives equal weight to the theoretical details and FEA software use for problem solution by using finite element software packages Emphasizes understanding the deformation behavior of finite elements that directly affect the quality of actual analysis results Reduces the focus on hand calculation of property matrices, thus freeing up time to do more software experimentation with different FEA formulations Includes chapters dedicated to showing the use of FEA models in engineering assessment for strength, fatigue, and structural vibration properties Features an easy to follow format for guided learning and practice problems to be solved by using FEA software package, and with hand calculations for model validation This textbook contains 12 discrete chapters that can be covered in a single semester university graduate course on finite element analysis methods. It also serves as a reference for practicing engineers working on design assessment and analysis of solids and structures. Teaching ancillaries include a solutions manual (with data files) and lecture slides for adopting professors.

Finite Element Handbook

Finite Element Handbook PDF Author: Hayrettin Kardestuncer
Publisher: McGraw-Hill Companies
ISBN:
Category : Mathematics
Languages : en
Pages : 1416

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Book Description