Finite Element Methods for Plate and Shell Structures: Formulations and algorithms

Finite Element Methods for Plate and Shell Structures: Formulations and algorithms PDF Author: Thomas J. R. Hughes
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 384

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Book Description

Finite Element Methods for Plate and Shell Structures: Formulations and algorithms

Finite Element Methods for Plate and Shell Structures: Formulations and algorithms PDF Author: Thomas J. R. Hughes
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 384

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Book Description


Encyclopedia of Continuum Mechanics

Encyclopedia of Continuum Mechanics PDF Author: Holm Altenbach
Publisher: Springer
ISBN: 9783662557709
Category : Science
Languages : en
Pages : 0

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Book Description
This Encyclopedia covers the entire science of continuum mechanics including the mechanics of materials and fluids. The encyclopedia comprises mathematical definitions for continuum mechanical modeling, fundamental physical concepts, mechanical modeling methodology, numerical approaches and many fundamental applications. The modelling and analytical techniques are powerful tools in mechanical civil and areospsace engineering, plus in related fields of plasticity, viscoelasticity and rheology. Tensor-based and reference-frame-independent, continuum mechanics has recently found applications in geophysics and materials.

The Scaled Boundary Finite Element Method

The Scaled Boundary Finite Element Method PDF Author: Chongmin Song
Publisher: John Wiley & Sons
ISBN: 1119388155
Category : Science
Languages : en
Pages : 500

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Book Description
An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

Nonlinear Analysis of Shells by Finite Elements

Nonlinear Analysis of Shells by Finite Elements PDF Author: Franz G. Rammerstorfer
Publisher: Springer
ISBN: 3709126045
Category : Technology & Engineering
Languages : en
Pages : 286

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Book Description
State-of-the-art nonlinear computational analysis of shells, nonlinearities due to large deformations and nonlinear material behavior, alternative shell element formulations, algorithms and implementational aspects, composite and sandwich shells, local and global instabilities, optimization of shell structures and concepts of shape finding methods of free from shells. Furthermore, algorithms for the treatment of the nonlinear stability behavior of shell structures (including bifurcation and snap-through buckling) are presented in the book.

Mechanics of Laminated Composite Plates and Shells

Mechanics of Laminated Composite Plates and Shells PDF Author: J. N. Reddy
Publisher: CRC Press
ISBN: 9780203502808
Category : Science
Languages : en
Pages : 864

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Book Description
The second edition of this popular text provides complete, detailed coverage of the various theories, analytical solutions, and finite element models of laminated composite plates and shells. The book reflects advances in materials modeling in general and composite materials and structures in particular. It includes a chapter dedicated to the theory and analysis of laminated shells, discussions on smart structures and functionally graded materials, exercises and examples, and chapters that were reorganized from the first edition to improve the clarity of the presentation.

Plates and Shells

Plates and Shells PDF Author: Michel Fortin
Publisher: American Mathematical Soc.
ISBN: 9780821873281
Category : Technology & Engineering
Languages : en
Pages : 292

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Book Description
This volume features the proceedings from the Summer Seminar of the Canadian Mathematical Society held at Universite Laval. The purpose of the seminar was to gather both mathematicians and engineers interested in the theory or application of plates and shells, or more generally, in the modelisation of thin structures. From this, it was hoped that a better understanding of the problem would emerge for both groups of professionals. New aspects from the mathematical point of view and new applications posing new challenges are reported. This volume offers a snapshot of the state of the art of this rapidly evolving topic.

Shell-like Structures

Shell-like Structures PDF Author: Holm Altenbach
Publisher: Springer
ISBN: 3319422774
Category : Science
Languages : en
Pages : 293

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Book Description
The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:• comprehensive review of the most popular theories of plates and shells,• relations between three-dimensional theories and two-dimensional ones,• presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),• modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,• applications in modeling of non-classical objects like, for example, nanostructures,• presentation of actual numerical tools based on the finite element approach.

Engineering Computation of Structures: The Finite Element Method

Engineering Computation of Structures: The Finite Element Method PDF Author: Maria Augusta Neto
Publisher: Springer
ISBN: 3319177109
Category : Technology & Engineering
Languages : en
Pages : 325

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Book Description
This book presents theories and the main useful techniques of the Finite Element Method (FEM), with an introduction to FEM and many case studies of its use in engineering practice. It supports engineers and students to solve primarily linear problems in mechanical engineering, with a main focus on static and dynamic structural problems. Readers of this text are encouraged to discover the proper relationship between theory and practice, within the finite element method: Practice without theory is blind, but theory without practice is sterile. Beginning with elasticity basic concepts and the classical theories of stressed materials, the work goes on to apply the relationship between forces, displacements, stresses and strains on the process of modeling, simulating and designing engineered technical systems. Chapters discuss the finite element equations for static, eigenvalue analysis, as well as transient analyses. Students and practitioners using commercial FEM software will find this book very helpful. It uses straightforward examples to demonstrate a complete and detailed finite element procedure, emphasizing the differences between exact and numerical procedures.

Finite Element Methods for Structures with Large Stochastic Variations

Finite Element Methods for Structures with Large Stochastic Variations PDF Author: Isaac Elishakoff
Publisher: Oxford University Press, USA
ISBN: 9780198526315
Category : Language Arts & Disciplines
Languages : en
Pages : 282

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Book Description
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.

Computational Methods in Nonlinear Structural and Solid Mechanics

Computational Methods in Nonlinear Structural and Solid Mechanics PDF Author: Ahmed K. Noor
Publisher: Elsevier
ISBN: 1483145646
Category : Mathematics
Languages : en
Pages : 472

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Book Description
Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.