Continuum Mechanics

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  • Publisher : Cambridge University Press
  • Release : 18 June 2012
  • ISBN : 9781139510578
  • Page : 103 pages
  • Rating : 4.5/5 from 103 voters

Continuum Mechanics Book PDF summary

This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behaviour of continuous materials. This self-contained textbook is tailored for advanced undergraduate or first-year graduate students with numerous step-by-step derivations and worked-out examples. The author presents both the general continuum theory and the mathematics needed to apply it in practice. The derivation of constitutive models for ideal gases, fluids, solids and biological materials, and the numerical methods required to solve the resulting differential equations, are also detailed. Specifically, the text presents the theory and numerical implementation for the finite difference and the finite element methods in the Matlab® programming language. It includes thirteen detailed Matlab® programs illustrating how constitutive models are used in practice.

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Continuum Mechanics

Continuum Mechanics
  • Author : Franco M. Capaldi
  • Publisher : Cambridge University Press
  • Release Date : 2012-06-18
  • ISBN : 9781139510578
DOWNLOAD BOOKContinuum Mechanics

This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behaviour of continuous materials. This self-contained textbook is tailored for advanced undergraduate or first-year graduate students with numerous step-by-step derivations and worked-out examples. The author presents both the general continuum theory and the mathematics needed to apply it in practice. The derivation of constitutive models for ideal gases, fluids, solids and biological materials, and the numerical

Continuum Mechanics Modeling of Material Behavior

Continuum Mechanics Modeling of Material Behavior
  • Author : Martin H. Sadd
  • Publisher : Academic Press
  • Release Date : 2018-03-31
  • ISBN : 9780128116494
DOWNLOAD BOOKContinuum Mechanics Modeling of Material Behavior

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

Constitutive Modelling of Solid Continua

Constitutive Modelling of Solid Continua
  • Author : José Merodio,Raymond Ogden
  • Publisher : Springer Nature
  • Release Date : 2019-11-14
  • ISBN : 9783030315474
DOWNLOAD BOOKConstitutive Modelling of Solid Continua

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

The Mechanics of Constitutive Modeling

The Mechanics of Constitutive Modeling
  • Author : Niels Saabye Ottosen,Matti Ristinmaa
  • Publisher : Elsevier
  • Release Date : 2005-09-28
  • ISBN : 9780080525693
DOWNLOAD BOOKThe Mechanics of Constitutive Modeling

Constitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include: Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear equilibrium equations - Integration of elastoplastic constitutive equations - The thermodynamic framework for constitutive modelling – Thermoplasticity - Uniqueness and discontinuous bifurcations • More

Continuum Mechanics and Theory of Materials

Continuum Mechanics and Theory of Materials
  • Author : Peter Haupt
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-14
  • ISBN : 9783662047750
DOWNLOAD BOOKContinuum Mechanics and Theory of Materials

The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

Mathematical Modeling in Continuum Mechanics

Mathematical Modeling in Continuum Mechanics
  • Author : Roger Temam,Alain Miranville
  • Publisher : Cambridge University Press
  • Release Date : 2005-05-19
  • ISBN : 9781139443210
DOWNLOAD BOOKMathematical Modeling in Continuum Mechanics

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

Constitutive Modelling in Geomechanics

Constitutive Modelling in Geomechanics
  • Author : Alexander Puzrin
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-01-21
  • ISBN : 9783642273957
DOWNLOAD BOOKConstitutive Modelling in Geomechanics

The purpose of this book is to bridge the gap between the traditional Geomechanics and Numerical Geotechnical Modelling with applications in science and practice. Geomechanics is rarely taught within the rigorous context of Continuum Mechanics and Thermodynamics, while when it comes to Numerical Modelling, commercially available finite elements or finite differences software utilize constitutive relationships within the rigorous framework. As a result, young scientists and engineers have to learn the challenging subject of constitutive modelling from a program manual and

Introduction to Continuum Mechanics for Engineers

Introduction to Continuum Mechanics for Engineers
  • Author : Ray M. Bowen
  • Publisher : Unknown
  • Release Date : 2009
  • ISBN : 0486474607
DOWNLOAD BOOKIntroduction to Continuum Mechanics for Engineers

This self-contained graduate-level text introduces classical continuum models within a modern framework. Its numerous exercises illustrate the governing principles, linearizations, and other approximations that constitute classical continuum models. Starting with an overview of one-dimensional continuum mechanics, the text advances to examinations of the kinematics of motion, the governing equations of balance, and the entropy inequality for a continuum. The main portion of the book involves models of material behavior and presents complete formulations of various general continuum models. The final

Continuum Mechanics and Thermodynamics

Continuum Mechanics and Thermodynamics
  • Author : Ellad B. Tadmor,Ronald E. Miller,Ryan S. Elliott
  • Publisher : Cambridge University Press
  • Release Date : 2012
  • ISBN : 9781107008267
DOWNLOAD BOOKContinuum Mechanics and Thermodynamics

Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Computational Continuum Mechanics

Computational Continuum Mechanics
  • Author : Ahmed A. Shabana
  • Publisher : John Wiley & Sons
  • Release Date : 2018-02-20
  • ISBN : 9781119293217
DOWNLOAD BOOKComputational Continuum Mechanics

An updated and expanded edition of the popular guide to basic continuum mechanics and computational techniques This updated third edition of the popular reference covers state-of-the-art computational techniques for basic continuum mechanics modeling of both small and large deformations. Approaches to developing complex models are described in detail, and numerous examples are presented demonstrating how computational algorithms can be developed using basic continuum mechanics approaches. The integration of geometry and analysis for the study of the motion and behaviors of

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity
  • Author : Koichi Hashiguchi
  • Publisher : Elsevier
  • Release Date : 2020-06-19
  • ISBN : 9780128194294
DOWNLOAD BOOKNonlinear Continuum Mechanics for Finite Elasticity-Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity empowers readers to fully understand the constitutive equation of finite strain, an essential piece in assessing the deformation/strength of materials and safety of structures. The book starts by providing a foundational overview of continuum mechanics, elasticity and plasticity, then segues into more sophisticated topics such as multiplicative decomposition of deformation gradient tensor with the isoclinic concept and the underlying subloading surface concept. The subloading surface concept insists that the plastic strain rate is

Basics of Continuum Plasticity

Basics of Continuum Plasticity
  • Author : Kwansoo Chung,Myoung-Gyu Lee
  • Publisher : Springer
  • Release Date : 2018-05-02
  • ISBN : 9789811083068
DOWNLOAD BOOKBasics of Continuum Plasticity

This book describes the basic principles of plasticity for students and engineers who wish to perform plasticity analyses in their professional lives, and provides an introduction to the application of plasticity theories and basic continuum mechanics in metal forming processes. This book consists of three parts. The first part deals with the characteristics of plasticity and instability under simple tension or compression and plasticity in beam bending and torsion. The second part is designed to provide the basic principles of

Continuum Mechanics and Theory of Materials

Continuum Mechanics and Theory of Materials
  • Author : Peter Haupt
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-04-17
  • ISBN : 9783662041093
DOWNLOAD BOOKContinuum Mechanics and Theory of Materials

From the reviews: "In striving toward the encyclopedic, Haupt employs a full arsenal of geometric tools, from curvilinear coordinates to several different strain tensors for both the spatial and material formulations. The emphasis throughout is on the mechanics of solids." SIAM Review

Continuum Mechanics: General overview of continuum mechanics; Introduction to continuum mechanics; History of continuum mechanics; Kinematics; Balance laws; Thermodynamics; Constitutive theories, basic principles; Simple constitutive models for solids and fluids; Linear elasto-statics

Continuum Mechanics: General overview of continuum mechanics; Introduction to continuum mechanics; History of continuum mechanics; Kinematics; Balance laws; Thermodynamics; Constitutive theories, basic principles; Simple constitutive models for solids and fluids; Linear elasto-statics
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2011
  • ISBN : 184826822X
DOWNLOAD BOOKContinuum Mechanics: General overview of continuum mechanics; Introduction to continuum mechanics; History of continuum mechanics; Kinematics; Balance laws; Thermodynamics; Constitutive theories, basic principles; Simple constitutive models for solids and fluids; Linear elasto-statics

Introduction to the Mechanics of a Continuous Medium

Introduction to the Mechanics of a Continuous Medium
  • Author : Lawrence E. Malvern
  • Publisher : Unknown
  • Release Date : 1969
  • ISBN : OCLC:2309235
DOWNLOAD BOOKIntroduction to the Mechanics of a Continuous Medium