Computational Methods In Solid Mechanics

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Computational Methods in Solid Mechanics

Author : A. Curnier
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401111126

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Computational Methods in Solid Mechanics by A. Curnier Pdf

This volume presents an introduction to the three numerical methods most commonly used in the mechanical analysis of deformable solids, viz. the finite element method (FEM), the linear iteration method (LIM), and the finite difference method (FDM). The book has been written from the point of view of simplicity and unity; its originality lies in the comparable emphasis given to the spatial, temporal and nonlinear dimensions of problem solving. This leads to a neat global algorithm. Chapter 1 addresses the problem of a one-dimensional bar, with emphasis being given to the virtual work principle. Chapters 2--4 present the three numerical methods. Although the discussion relates to a one-dimensional model, the formalism used is extendable to two-dimensional situations. Chapter 5 is devoted to a detailed discussion of the compact combination of the three methods, and contains several sections concerning their computer implementation. Finally, Chapter 6 gives a generalization to two and three dimensions of both the mechanical and numerical aspects. For graduate students and researchers whose work involves the theory and application of computational solid mechanics.

Computational Methods in Solid Mechanics

Author : A. Curnier
Publisher : Springer
Page : 404 pages
File Size : 47,8 Mb
Release : 2011-10-01
Category : Mathematics
ISBN : 9401111138

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Computational Methods in Solid Mechanics by A. Curnier Pdf

Computational Methods in Nonlinear Structural and Solid Mechanics

Author : Ahmed K. Noor,Harvey G. McComb
Publisher : Elsevier
Page : 472 pages
File Size : 46,9 Mb
Release : 2014-05-20
Category : Mathematics
ISBN : 9781483145648

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Computational Methods in Nonlinear Structural and Solid Mechanics by Ahmed K. Noor,Harvey G. McComb Pdf

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.

Computational Methods in Elasticity and Plasticity

Author : A. Anandarajah
Publisher : Springer Science & Business Media
Page : 665 pages
File Size : 52,9 Mb
Release : 2011-01-04
Category : Technology & Engineering
ISBN : 9781441963796

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Computational Methods in Elasticity and Plasticity by A. Anandarajah Pdf

Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models. The book also includes: -A detailed coverage of elasticity for isotropic and anisotropic solids. -A detailed treatment of nonlinear iterative methods that could be used for nonlinear elastic and elasto-plastic analyses. -A detailed treatment of a kinematic hardening von Mises model that could be used to simulate cyclic behavior of solids. -Discussion of recent advances in the analysis of porous media and pressure-dependent materials in more detail than other books currently available. Computational Methods in Elasticity and Plasticity: Solids and Porous Media also contains problem sets, worked examples and a solutions manual for instructors.

Computational Methods for Solids and Fluids

Author : Adnan Ibrahimbegovic
Publisher : Springer
Page : 493 pages
File Size : 41,6 Mb
Release : 2016-02-12
Category : Technology & Engineering
ISBN : 9783319279961

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Computational Methods for Solids and Fluids by Adnan Ibrahimbegovic Pdf

This volume contains the best papers presented at the 2nd ECCOMAS International Conference on Multiscale Computations for Solids and Fluids, held June 10-12, 2015. Topics dealt with include multiscale strategy for efficient development of scientific software for large-scale computations, coupled probability-nonlinear-mechanics problems and solution methods, and modern mathematical and computational setting for multi-phase flows and fluid-structure interaction. The papers consist of contributions by six experts who taught short courses prior to the conference, along with several selected articles from other participants dealing with complementary issues, covering both solid mechanics and applied mathematics.

Computational Methods for Plasticity

Author : Eduardo A. de Souza Neto,Djordje Peric,David R. J. Owen
Publisher : John Wiley & Sons
Page : 718 pages
File Size : 42,8 Mb
Release : 2011-09-21
Category : Science
ISBN : 9781119964544

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Computational Methods for Plasticity by Eduardo A. de Souza Neto,Djordje Peric,David R. J. Owen Pdf

The subject of computational plasticity encapsulates the numerical methods used for the finite element simulation of the behaviour of a wide range of engineering materials considered to be plastic – i.e. those that undergo a permanent change of shape in response to an applied force. Computational Methods for Plasticity: Theory and Applications describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models. It is split into three parts - basic concepts, small strains and large strains. Beginning with elementary theory and progressing to advanced, complex theory and computer implementation, it is suitable for use at both introductory and advanced levels. The book: Offers a self-contained text that allows the reader to learn computational plasticity theory and its implementation from one volume. Includes many numerical examples that illustrate the application of the methodologies described. Provides introductory material on related disciplines and procedures such as tensor analysis, continuum mechanics and finite elements for non-linear solid mechanics. Is accompanied by purpose-developed finite element software that illustrates many of the techniques discussed in the text, downloadable from the book’s companion website. This comprehensive text will appeal to postgraduate and graduate students of civil, mechanical, aerospace and materials engineering as well as applied mathematics and courses with computational mechanics components. It will also be of interest to research engineers, scientists and software developers working in the field of computational solid mechanics.

Mechanics of Structures

Author : Walter Wunderlich,Walter D. Pilkey
Publisher : CRC Press
Page : 911 pages
File Size : 45,9 Mb
Release : 2002-12-26
Category : Mathematics
ISBN : 9781420041835

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Mechanics of Structures by Walter Wunderlich,Walter D. Pilkey Pdf

Resoundingly popular in its first edition, the second edition of Mechanics of Structures: Variational and Computational Methods promises to be even more so, with broader coverage, expanded discussions, and a streamlined presentation. The authors begin by describing the behavior of deformable solids through the differential equations for the

Nonlinear Computational Solid Mechanics

Author : Jamshid Ghaboussi,David A. Pecknold,Xiping Steven Wu
Publisher : CRC Press
Page : 397 pages
File Size : 44,5 Mb
Release : 2017-07-06
Category : Mathematics
ISBN : 9781498746137

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Nonlinear Computational Solid Mechanics by Jamshid Ghaboussi,David A. Pecknold,Xiping Steven Wu Pdf

This book presents the fundamentals of nonlinear mechanics within a modern computational approach based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation and snap-through. The principles are illustrated with a series of solved problems. This book serves as a text book for a second year graduate course and as a reference for practitioners using nonlinear analysis in engineering and design.

Computer Methods in Mechanics

Author : Mieczyslaw Kuczma,Krzysztof Wilmanski
Publisher : Springer Science & Business Media
Page : 534 pages
File Size : 47,7 Mb
Release : 2010-03-10
Category : Technology & Engineering
ISBN : 9783642052415

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Computer Methods in Mechanics by Mieczyslaw Kuczma,Krzysztof Wilmanski Pdf

Prominent scientists present the latest achievements in computational methods and mechanics in this book. These lectures were held at the CMM 2009 conference.

Computational Methods in Structural Dynamics

Author : L. Meirovitch
Publisher : Springer Science & Business Media
Page : 462 pages
File Size : 52,8 Mb
Release : 1980-10-31
Category : Mathematics
ISBN : 9028605800

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Computational Methods in Structural Dynamics by L. Meirovitch Pdf

Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids

Author : Laura De Lorenzis,Alexander Düster
Publisher : Springer Nature
Page : 225 pages
File Size : 51,6 Mb
Release : 2020-02-08
Category : Science
ISBN : 9783030375188

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Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids by Laura De Lorenzis,Alexander Düster Pdf

The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.

Multiscale Modeling in Solid Mechanics

Author : Ugo Galvanetto,M. H. Ferri Aliabadi
Publisher : Imperial College Press
Page : 349 pages
File Size : 46,5 Mb
Release : 2010
Category : Science
ISBN : 9781848163089

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Multiscale Modeling in Solid Mechanics by Ugo Galvanetto,M. H. Ferri Aliabadi Pdf

This unique volume presents the state of the art in the field of multiscale modeling in solid mechanics, with particular emphasis on computational approaches. For the first time, contributions from both leading experts in the field and younger promising researchers are combined to give a comprehensive description of the recently proposed techniques and the engineering problems tackled using these techniques. The book begins with a detailed introduction to the theories on which different multiscale approaches are based, with regards to linear Homogenisation as well as various nonlinear approaches. It then presents advanced applications of multiscale approaches applied to nonlinear mechanical problems. Finally, the novel topic of materials with self-similar structure is discussed. Sample Chapter(s). Chapter 1: Computational Homogenisation for Non-Linear Heterogeneous Solids (808 KB). Contents: Computational Homogenisation for Non-Linear Heterogeneous Solids (V G Kouznetsova et al.); Two-Scale Asymptotic Homogenisation-Based Finite Element Analysis of Composite Materials (Q-Z Xiao & B L Karihaloo); Multi-Scale Boundary Element Modelling of Material Degradation and Fracture (G K Sfantos & M H Aliabadi); Non-Uniform Transformation Field Analysis: A Reduced Model for Multiscale Non-Linear Problems in Solid Mechanics (J-C Michel & P Suquet); Multiscale Approach for the Thermomechanical Analysis of Hierarchical Structures (M J Lefik et al.); Recent Advances in Masonry Modelling: Micro-Modelling and Homogenisation (P B Louren o); Mechanics of Materials with Self-Similar Hierarchical Microstructure (R C Picu & M A Soare). Readership: Researchers and academics in the field of heterogeneous materials and mechanical engineering; professionals in aeronautical engineering and materials science.

Computational Solid Mechanics

Author : Marco L. Bittencourt
Publisher : CRC Press
Page : 670 pages
File Size : 50,8 Mb
Release : 2014-09-19
Category : Science
ISBN : 9781482246537

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Computational Solid Mechanics by Marco L. Bittencourt Pdf

Presents a Systematic Approach for Modeling Mechanical Models Using Variational Formulation-Uses Real-World Examples and Applications of Mechanical ModelsUtilizing material developed in a classroom setting and tested over a 12-year period, Computational Solid Mechanics: Variational Formulation and High-Order Approximation details an approach that e