Nonlinear Continuum Mechanics Of Solids
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Nonlinear Continuum Mechanics Of Solids
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Author : Yavuz Basar
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Nonlinear Continuum Mechanics Of Solids written by Yavuz Basar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.
Nonlinear Solid Mechanics
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Author : Gerhard A. Holzapfel
language : en
Publisher:
Release Date : 2000-04-06
Nonlinear Solid Mechanics written by Gerhard A. Holzapfel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-06 with Mathematics categories.
Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.
Nonlinear Continuum Mechanics For Finite Element Analysis
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Author : Javier Bonet
language : en
Publisher: Cambridge University Press
Release Date : 1997-09-28
Nonlinear Continuum Mechanics For Finite Element Analysis written by Javier Bonet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-28 with Mathematics categories.
A unified treatment of nonlinear continuum analysis and finite element techniques.
Nonlinear Solid Mechanics For Finite Element Analysis Statics
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Author : Javier Bonet
language : en
Publisher: Cambridge University Press
Release Date : 2016-06-23
Nonlinear Solid Mechanics For Finite Element Analysis Statics written by Javier Bonet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-23 with Mathematics categories.
A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.
Nonlinear Solid Mechanics
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Author : Davide Bigoni
language : en
Publisher: Cambridge University Press
Release Date : 2012-07-30
Nonlinear Solid Mechanics written by Davide Bigoni and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-30 with Mathematics categories.
Addresses behaviour of materials under extreme mechanical conditions and of failure in terms of non-linear continuum mechanics and instability theory.
Mechanics Of Deformable Solids
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Author : Issam Doghri
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-07-13
Mechanics Of Deformable Solids written by Issam Doghri and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-13 with Science categories.
Three subjects of major interest in one textbook: linear elasticity, mechanics of structures in linear isotropic elasticity, and nonlinear mechanics including computational algorithms. After the simplest possible, intuitive approach there follows the mathematical formulation and analysis, with computational methods occupying a good portion of the book. There are several worked-out problems in each chapter and additional exercises at the end of the book, plus mathematical expressions are bery often given in more than one notation. The book is intended primarily for students and practising engineers in mechanical and civil engineering, although students and experts from applied mathematics, materials science and other related fields will also find it useful.
Mathematical Methods In Continuum Mechanics Of Solids
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Author : Martin Kružík
language : en
Publisher: Springer
Release Date : 2019-03-02
Mathematical Methods In Continuum Mechanics Of Solids written by Martin Kružík and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-02 with Science categories.
This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.
Nonlinear Solid Mechanics For Finite Element Analysis
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Author : Javier Bonet
language : en
Publisher:
Release Date : 2020
Nonlinear Solid Mechanics For Finite Element Analysis written by Javier Bonet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Continuum mechanics categories.
"Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the theoretical background and associated computer solution techniques. The first book in the series Nonlinear Solid Mechanics for Finite Element Analysis considered static behaviour whilst this second text extends the subject to dynamics. By presenting nonlinear solid mechanics, dynamic conservation laws and principles and the associated finite element techniques together, the authors provide in this second book, a unified treatment of the dynamic simulation of nonlinear solids. Alongside a number of worked examples and exercises are user instructions, program descriptions, and examples for two MATLAB computer implementations for which source codes are available online. The dynamic version of the statics book program FLagSHyP is based on a displacement formulation and an innovative dynamic program PG DYNA LAWS is presented for the solution of problems expressed directly in the form of a system of first order conservation laws. While this book is designed to complement postgraduate courses, it is also relevant to those in industry requiring an appreciation of the way their computer simulation programs work"--
Constitutive Modelling Of Solid Continua
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Author : José Merodio
language : en
Publisher: Springer Nature
Release Date : 2019-11-14
Constitutive Modelling Of Solid Continua written by José Merodio and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-14 with Science categories.
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.
Nonlinear Mechanics Of Crystals
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Author : John D. Clayton
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-01
Nonlinear Mechanics Of Crystals written by John D. Clayton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-01 with Science categories.
This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.