Continuum Damage Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400726651
Total Pages : 420 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Continuum Damage Mechanics by : Sumio Murakami

Download or read book Continuum Damage Mechanics written by Sumio Murakami and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in engineering and technology have brought about serious and enlarged demands for reliability, safety and economy in wide range of fields such as aeronautics, nuclear engineering, civil and structural engineering, automotive and production industry. This, in turn, has caused more interest in continuum damage mechanics and its engineering applications. This book aims to give a concise overview of the current state of damage mechanics, and then to show the fascinating possibility of this promising branch of mechanics, and to provide researchers, engineers and graduate students with an intelligible and self-contained textbook. The book consists of two parts and an appendix. Part I is concerned with the foundation of continuum damage mechanics. Basic concepts of material damage and the mechanical representation of damage state of various kinds are described in Chapters 1 and 2. In Chapters 3-5, irreversible thermodynamics, thermodynamic constitutive theory and its application to the modeling of the constitutive and the evolution equations of damaged materials are descried as a systematic basis for the subsequent development throughout the book. Part II describes the application of the fundamental theories developed in Part I to typical damage and fracture problems encountered in various fields of the current engineering. Important engineering aspects of elastic-plastic or ductile damage, their damage mechanics modeling and their further refinement are first discussed in Chapter 6. Chapters 7 and 8 are concerned with the modeling of fatigue, creep, creep-fatigue and their engineering application. Damage mechanics modeling of complicated crack closure behavior in elastic-brittle and composite materials are discussed in Chapters 9 and 10. In Chapter 11, applicability of the local approach to fracture by means of damage mechanics and finite element method, and the ensuing mathematical and numerical problems are briefly discussed. A proper understanding of the subject matter requires knowledge of tensor algebra and tensor calculus. At the end of this book, therefore, the foundations of tensor analysis are presented in the Appendix, especially for readers with insufficient mathematical background, but with keen interest in this exciting field of mechanics.

Introduction to continuum damage mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401719578
Total Pages : 162 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Introduction to continuum damage mechanics by : L. Kachanov

Download or read book Introduction to continuum damage mechanics written by L. Kachanov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern engineering materials subjected to unfavorable mechanical and environmental conditions decrease in strength due to the accumulation of microstructural changes. For example, considering damage in metals we can mention creep damage, ductile plastic damage, embrittlement of steels and fatigue damage. To properly estimate the value of damage when designing reliable structures it is necessary to formulate the damage phenomenon in terms of mechanics. Then it is possible to analyse various engineering problems using analytical and computational techniques. During the last two decades the basic principles of continuum damage mechanics were formulated and some special problems were solved. Many scientific papers were published and several conferences on damage mechanics took place. Now continuum damage mechanics is rapidly developing branch of fracture mechanics. This book is probably the first one on the subject; it contains a sys tematic description of the basic aspects of damage mechanics and some of its applications. In general, a theoretical description of damage can be rather compli cated. The experiments in this field are difficult (especially under multiax ial stress and non-proportional loading). Therefore, experimental data, as a rule, are scarce. Determination of functions and constants, which play a role in the complex variants of the theory, from available experimental data is often practically impossible. ix L.M. Kachanov The problems of damage mechanics are mainly engineering ones. Therefore, the author tries to avoid superfluous mathematical formalism. Some more details of the book's subject can be found in the list of con tents.

Continuum Damage Mechanics and Numerical Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642047084
Total Pages : 937 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Continuum Damage Mechanics and Numerical Applications by : Wohua Zhang

Download or read book Continuum Damage Mechanics and Numerical Applications written by Wohua Zhang and published by Springer Science & Business Media. This book was released on 2010-11-19 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Continuum Damage Mechanics and Numerical Applications" presents a systematic development of the theory of Continuum Damage Mechanics and its numerical engineering applications using a unified form of the mathematical formulations in anisotropic and isotropic damage models. The theoretical framework is based on the thermodynamic theory of energy and material dissipation and is described by a set of fundamental formulations of constitutive equations of damaged materials, development equations of the damaged state, and evolution equations of micro-structures. According to concepts of damage-dissipation of the material state and effective evolution of material properties, all these advanced equations, which take nonsymmetrized effects of damage aspects into account, are developed and modified from the traditional general failure models so they are more easily applied and verified in a wide range of engineering practices by experimental testing. Dr. Wohua Zhang is a Professor at Engineering Mechanics Research Center in Zhejiang University of China. Dr. Yuanqiang Cai is a Professor at Department of Civil Engineering in Zhejiang University of China.

Continuum Damage and Fracture Mechanics

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Publisher : Springer
ISBN 13 : 9812878653
Total Pages : 174 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Continuum Damage and Fracture Mechanics by : Andreas Öchsner

Download or read book Continuum Damage and Fracture Mechanics written by Andreas Öchsner and published by Springer. This book was released on 2015-10-15 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers readers an introduction to fracture mechanics, equipping them to grasp the basic ideas of the presented approaches to modeling in applied mechanics In the first part, the book reviews and expands on the classical theory of elastic and elasto-plastic material behavior. A solid understanding of these two topics is the essential prerequisite to advancing to damage and fracture mechanics. Thus, the second part of this course provides an introduction to the treatment of damage and fractures in the context of applied mechanics Wherever possible, the one-dimensional case is first introduced and then generalized in a following step. This departs somewhat from the more classical approach, where first the most general case is derived and then simplified to special cases. In general, the required mathematics background is kept to a minimum Tutorials are included at the end of each chapter, presenting the major steps for the solution and offering valuable tips and tricks. The supplementary problems featured in the book

A Course on Damage Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662027615
Total Pages : 225 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis A Course on Damage Mechanics by : Jean Lemaitre

Download or read book A Course on Damage Mechanics written by Jean Lemaitre and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new branch of science usually develops thus. Somebody publishes the basic ideas. Hesitatingly at first, then little by little, other original contributions appear, until a certain threshold is reached. Then, overview articles are printed, conferences are held, and a first mention is made in textbooks, until specialized monographs are written. Continuum darnage mechanics has reached that status now. To analyze or, if possible, to predict the failure of machine parts or other structures is one of the main goals of engineering science. Consequently fracture mechanics became one of its leading branches. It was based on the analysis of existing cracks. However, especially under conditions of cyclic loading, this might be too late to prevent a disaster. Therefore, the question regarding the precursory state, that is, the evolution of intemal darnage before macrocracks become visible, was then posed. One of the successful approaches to the problern was Weibull's theory which examined, in a statistical manner, the "weakest link" in the material volume under consideration. Unfortunately it proved too difficult mathematically to be applied to complicated parts or structures. Therefore it was highly appreciated by the scientific of material community when L. M. Kachanov published in 1958 a simple model darnage which subsequently could be extended to brittle elastic, plastic or viscous materials under all conditions of uniaxial or multiaxial, simple or cyclic loadings, so that it may be considered nearly universal.

Modeling of Material Damage and Failure of Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 3540696377
Total Pages : 332 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Modeling of Material Damage and Failure of Structures by : Jacek J. Skrzypek

Download or read book Modeling of Material Damage and Failure of Structures written by Jacek J. Skrzypek and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive and comprehensive survey of one- and three-dimensional damage models for elastic and inelastic solids. The book not only provides a rich current source of knowledge, but also describes examples of practical applications, numerical procedures, and computer codes. The style throughout is systematic, clear, and concise, and supported by illustrative diagrams. The state of the art is given by some 200 references.

Continuum Mechanics Modeling of Material Behavior

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Publisher : Academic Press
ISBN 13 : 0128116498
Total Pages : 432 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Continuum Mechanics Modeling of Material Behavior by : Martin H. Sadd

Download or read book Continuum Mechanics Modeling of Material Behavior written by Martin H. Sadd and published by Academic Press. This book was released on 2018-03-31 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries: kinematics of motion and deformation; force and stress measures; and general principles of mass, momentum and energy balance. The book then moves beyond other books by dedicating several chapters to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity. Linear multiple field problems of thermoelasticity, poroelasticity and electoelasticity are also presented. Discussion of nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials are also given. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. - Offers a thorough, concise and organized presentation of continuum mechanics formulation - Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems - Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study - Features extensive use of exercises, providing more material for student engagement and instructor presentation

MATLAB Guide to Finite Elements

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Publisher : Springer Science & Business Media
ISBN 13 : 3540706984
Total Pages : 430 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis MATLAB Guide to Finite Elements by : Peter I. Kattan

Download or read book MATLAB Guide to Finite Elements written by Peter I. Kattan and published by Springer Science & Business Media. This book was released on 2010-05-13 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: later versions. In addition, the CD-ROM contains a complete solutions manual that includes detailed solutions to all the problems in the book. If the reader does not wish to consult these solutions, then a brief list of answers is provided in printed form at the end of the book. Iwouldliketothankmyfamilymembersfortheirhelpandcontinuedsupportwi- out which this book would not have been possible. I would also like to acknowledge the help of the editior at Springer-Verlag (Dr. Thomas Ditzinger) for his assistance in bringing this book out in its present form. Finally, I would like to thank my brother, Nicola, for preparing most of the line drawings in both editions. In this edition, I am providing two email addresses for my readers to contact me (pkattan@tedata. net. jo and pkattan@lsu. edu). The old email address that appeared in the ?rst edition was cancelled in 2004. December 2006 Peter I. Kattan PrefacetotheFirstEdition 3 This is a book for people who love ?nite elements and MATLAB . We will use the popular computer package MATLAB as a matrix calculator for doing ?nite element analysis. Problems will be solved mainly using MATLAB to carry out the tedious and lengthy matrix calculations in addition to some manual manipulations especially when applying the boundary conditions. In particular the steps of the ?nite element method are emphasized in this book. The reader will not ?nd ready-made MATLAB programsforuseasblackboxes. Insteadstep-by-stepsolutionsof?niteelementpr- lems are examined in detail using MATLAB.

Constitutive Modelling of Solid Continua

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Publisher : Springer Nature
ISBN 13 : 3030315479
Total Pages : 397 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Constitutive Modelling of Solid Continua by : José Merodio

Download or read book Constitutive Modelling of Solid Continua written by José Merodio and published by Springer Nature. This book was released on 2019-11-14 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.

Continuum Damage Mechanics of Materials and Structures

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Publisher : Elsevier
ISBN 13 : 0080545998
Total Pages : 397 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Continuum Damage Mechanics of Materials and Structures by : O. Allix

Download or read book Continuum Damage Mechanics of Materials and Structures written by O. Allix and published by Elsevier. This book was released on 2002-08-13 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created in 1975, LMT-Cachan is a joint laboratory École Normale Superieure de Cachan, Pierre & Marie Curie (Paris 6) University and the French Research Council CNRS (Department of Engineering Sciences).The Year 2000 marked the 25th anniversary of LMT. On this occasion, a series of lectures was organized in Cachan in September-October, 2000. This publication contains peer-reviewed proceedings of these lectures and is aimed to present engineers and scientists with an overview of the latest developments in the field of damage mechanics. The formulation of damage models and their identification procedures were discussed for a variety of materials.

Engineering Damage Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540272933
Total Pages : 396 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Engineering Damage Mechanics by : Jean Lemaitre

Download or read book Engineering Damage Mechanics written by Jean Lemaitre and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflecting his major contributions to the field, Jean Lemaitre’s "Engineering Damage Mechanics" presents simplified and advanced methods organized within a unified framework for designers of any mechanical component. Explains how to apply continuous damage mechanics to failures of mechanical and civil engineering components in ductile, creep, fatigue and brittle conditions. Incorporates many basic examples, while emphasizing key practical considerations such as material parameter identification, and provides perspective on the advantage and disadvantages of various approaches.

Handbook of Damage Mechanics

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Publisher : Springer
ISBN 13 : 9781461455905
Total Pages : 1579 pages
Book Rating : 4.4/5 (559 download)

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Book Synopsis Handbook of Damage Mechanics by : George Z. Voyiadjis

Download or read book Handbook of Damage Mechanics written by George Z. Voyiadjis and published by Springer. This book was released on 2014-10-14 with total page 1579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative reference provides comprehensive coverage of the topics of damage and healing mechanics. Computational modeling of constitutive equations is provided as well as solved examples in engineering applications. A wide range of materials that engineers may encounter are covered, including metals, composites, ceramics, polymers, biomaterials, and nanomaterials. The internationally recognized team of contributors employ a consistent and systematic approach, offering readers a user-friendly reference that is ideal for frequent consultation. Handbook of Damage Mechanics: Nano to Macro Scale for Materials and Structures is ideal for graduate students and faculty, researchers, and professionals in the fields of Mechanical Engineering, Civil Engineering, Aerospace Engineering, Materials Science, and Engineering Mechanics.

Multi-Scale Continuum Mechanics Modelling of Fibre-Reinforced Polymer Composites

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Publisher : Woodhead Publishing
ISBN 13 : 0128189851
Total Pages : 766 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Multi-Scale Continuum Mechanics Modelling of Fibre-Reinforced Polymer Composites by : Wim Van Paepegem

Download or read book Multi-Scale Continuum Mechanics Modelling of Fibre-Reinforced Polymer Composites written by Wim Van Paepegem and published by Woodhead Publishing. This book was released on 2020-11-25 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-scale modelling of composites is a very relevant topic in composites science. This is illustrated by the numerous sessions in the recent European and International Conferences on Composite Materials, but also by the fast developments in multi-scale modelling software tools, developed by large industrial players such as Siemens (Virtual Material Characterization toolkit and MultiMechanics virtual testing software), MSC/e-Xstream (Digimat software), Simulia (micromechanics plug-in in Abaqus), HyperSizer (Multi-scale design of composites), Altair (Altair Multiscale Designer) This book is intended to be an ideal reference on the latest advances in multi-scale modelling of fibre-reinforced polymer composites, that is accessible for both (young) researchers and end users of modelling software. We target three main groups: This book aims at a complete introduction and overview of the state-of-the-art in multi-scale modelling of composites in three axes: • ranging from prediction of homogenized elastic properties to nonlinear material behaviour • ranging from geometrical models for random packing of unidirectional fibres over meso-scale geometries for textile composites to orientation tensors for short fibre composites • ranging from damage modelling of unidirectionally reinforced composites over textile composites to short fibre-reinforced composites The book covers the three most important scales in multi-scale modelling of composites: (i) micro-scale, (ii) meso-scale and (iii) macro-scale. The nano-scale and related atomistic and molecular modelling approaches are deliberately excluded, since the book wants to focus on continuum mechanics and there are already a lot of dedicated books about polymer nanocomposites. A strong focus is put on physics-based damage modelling, in the sense that the chapters devote attention to modelling the different damage mechanisms (matrix cracking, fibre/matrix debonding, delamination, fibre fracture,...) in such a way that the underlying physics of the initiation and growth of these damage modes is respected. The book also gives room to not only discuss the finite element based approaches for multi-scale modelling, but also much faster methods that are popular in industrial software, such as Mean Field Homogenization methods (based on Mori-Tanaka and Eshelby solutions) and variational methods (shear lag theory and more advanced theories). Since the book targets a wide audience, the focus is put on the most common numerical approaches that are used in multi-scale modelling. Very specialized numerical methods like peridynamics modelling, Material Point Method, eXtended Finite Element Method (XFEM), isogeometric analysis, SPH (Smoothed Particle Hydrodynamics),... are excluded. Outline of the book The book is divided in three large parts, well balanced with each a similar number of chapters:

Structures Under Crash and Impact

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Publisher : Springer Science & Business Media
ISBN 13 : 0387738630
Total Pages : 416 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Structures Under Crash and Impact by : Stefan Hiermaier

Download or read book Structures Under Crash and Impact written by Stefan Hiermaier and published by Springer Science & Business Media. This book was released on 2007-10-23 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the testing and modeling of materials and structures under dynamic loading conditions. Readers get an in-depth analysis of the current mathematical modeling and simulation tools available for a variety of materials, alongside discussions of the benefits and limitations of these tools in industrial design. Following a logical and well organized structure, this volume uniquely combines experimental procedures with numerical simulation, and provides many examples.

Nonlocal Continuum Damage and Plasticity

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Publisher : World Scientific Publishing Company
ISBN 13 : 9789812813978
Total Pages : 600 pages
Book Rating : 4.8/5 (139 download)

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Book Synopsis Nonlocal Continuum Damage and Plasticity by : George Z. Voyiadjis

Download or read book Nonlocal Continuum Damage and Plasticity written by George Z. Voyiadjis and published by World Scientific Publishing Company. This book was released on 2014 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modeling in Continuum Mechanics

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Publisher : Cambridge University Press
ISBN 13 : 1139443216
Total Pages : 356 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Mathematical Modeling in Continuum Mechanics by : Roger Temam

Download or read book Mathematical Modeling in Continuum Mechanics written by Roger Temam and published by Cambridge University Press. This book was released on 2005-05-19 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrödinger equation. This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. These additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics.

Nonlinear Continuum Mechanics for Finite Element Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521572729
Total Pages : 272 pages
Book Rating : 4.5/5 (727 download)

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Book Synopsis Nonlinear Continuum Mechanics for Finite Element Analysis by : Javier Bonet

Download or read book Nonlinear Continuum Mechanics for Finite Element Analysis written by Javier Bonet and published by Cambridge University Press. This book was released on 1997-09-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of nonlinear continuum analysis and finite element techniques.