The 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 comprehensive in scope than competitive titles, with detailed discussion of thermodynamics and numerical methods. • Offers appropriate strategies for numerical solution, illustrated by discussion of specific models. • Demonstrates each topic in a complete and self-contained framework, with extensive referencing.

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  • Author : Niels Saabye Ottosen
  • Publisher : Elsevier
  • Pages : 700 pages
  • ISBN : 9780080525693
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKThe Mechanics of Constitutive Modeling

Continuum Mechanics

Continuum Mechanics
  • Author : Franco M. Capaldi
  • Publisher : Cambridge University Press
  • Release : 18 June 2012
GET THIS 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

The Mechanics of Constitutive Modeling

The Mechanics of Constitutive Modeling
  • Author : Niels Saabye Ottosen,Matti Ristinmaa
  • Publisher : Elsevier
  • Release : 28 September 2005
GET THIS 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 Modeling of Material Behavior

Continuum Mechanics Modeling of Material Behavior
  • Author : Martin H. Sadd
  • Publisher : Academic Press
  • Release : 31 March 2018
GET THIS 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

Continuum Mechanics and Theory of Materials

Continuum Mechanics and Theory of Materials
  • Author : Peter Haupt
  • Publisher : Springer Science & Business Media
  • Release : 14 March 2013
GET THIS 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.

Constitutive Modelling of Solid Continua

Constitutive Modelling of Solid Continua
  • Author : José Merodio,Raymond Ogden
  • Publisher : Springer Nature
  • Release : 14 November 2019
GET THIS 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

Computational Continuum Mechanics

Computational Continuum Mechanics
  • Author : Ahmed A. Shabana
  • Publisher : Cambridge University Press
  • Release : 12 December 2011
GET THIS BOOKComputational Continuum Mechanics

This second edition presents the theory of continuum mechanics using computational methods. The text covers a broad range of topics including general problems of large rotation and large deformations and the development and limitations of finite element formulations in solving such problems. Dr Shabana introduces theories on motion kinematics, strain, forces and stresses and goes on to discuss linear and nonlinear constitutive equations, including viscoelastic and plastic constitutive models. General nonlinear continuum mechanics theory is used to develop small and

Continuum Mechanics and Plasticity

Continuum Mechanics and Plasticity
  • Author : Han-Chin Wu
  • Publisher : CRC Press
  • Release : 20 December 2004
GET THIS BOOKContinuum Mechanics and Plasticity

Tremendous advances in computer technologies and methods have precipitated a great demand for refinements in the constitutive models of plasticity. Such refinements include the development of a model that would account for material anisotropy and produces results that compare well with experimental data. Key to developing such models-and to meeting

Continuum Mechanics

Continuum Mechanics
  • Author : Myron B. Allen, III
  • Publisher : John Wiley & Sons
  • Release : 20 July 2015
GET THIS BOOKContinuum Mechanics

Presents a self-contained introduction to continuum mechanics that illustrates how many of the important partial differential equations of applied mathematics arise from continuum modeling principles Written as an accessible introduction, Continuum Mechanics: The Birthplace of Mathematical Models provides a comprehensive foundation for mathematical models used in fluid mechanics, solid mechanics, and heat transfer. The book features derivations of commonly used differential equations based on the fundamental continuum mechanical concepts encountered in various fields, such as engineering, physics, and geophysics. The

Continuum Mechanics - Volume I

Continuum Mechanics - Volume I
  • Author : José Merodio,Giuseppe Saccomandi
  • Publisher : EOLSS Publications
  • Release : 30 November 2011
GET THIS BOOKContinuum Mechanics - Volume I

The main objective of continuum mechanics is to predict the response of a body that is under the action of external and/or internal influences, i.e. to capture and describe different mechanisms associated with the motion of a body that is under the action of loading. A body in continuum mechanics is considered to be matter continuously distributed in space. Hence, no attention is given to the microscopic (atomic) structure of real materials although non-classical generalized theories of continuum

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity
  • Author : Koichi Hashiguchi
  • Publisher : Elsevier
  • Release : 19 June 2020
GET THIS 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

Fundamentals of Continuum Mechanics

Fundamentals of Continuum Mechanics
  • Author : Stephen Bechtel,Robert Lowe
  • Publisher : Academic Press
  • Release : 02 December 2014
GET THIS BOOKFundamentals of Continuum Mechanics

Fundamentals of Continuum Mechanics provides a clear and rigorous presentation of continuum mechanics for engineers, physicists, applied mathematicians, and materials scientists. This book emphasizes the role of thermodynamics in constitutive modeling, with detailed application to nonlinear elastic solids, viscous fluids, and modern smart materials. While emphasizing advanced material modeling, special attention is also devoted to developing novel theories for incompressible and thermally expanding materials. A wealth of carefully chosen examples and exercises illuminate the subject matter and facilitate self-study. Uses

Multiscale Biomechanics

Multiscale Biomechanics
  • Author : Jean-Francois Ganghoffer
  • Publisher : Elsevier
  • Release : 03 February 2018
GET THIS BOOKMultiscale Biomechanics

Multiscale Biomechanics provides new insights on multiscale static and dynamic behavior of both soft and hard biological tissues, including bone, the intervertebral disk, biological membranes and tendons. The physiological aspects of bones and biological membranes are introduced, along with micromechanical models used to compute mechanical response. A modern account of continuum mechanics of growth and remodeling, generalized continuum models to capture internal lengths scales, and dedicated homogenization methods are provided to help the reader with the necessary theoretical foundations. Topics

Nonlinear Continuum Mechanics of Solids

Nonlinear Continuum Mechanics of Solids
  • Author : Yavuz Basar,Dieter Weichert
  • Publisher : Springer Science & Business Media
  • Release : 11 November 2013
GET THIS BOOKNonlinear Continuum Mechanics of Solids

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

Introduction to Continuum Mechanics

Introduction to Continuum Mechanics
  • Author : W Michael Lai,David H. Rubin,David Rubin,Erhard Krempl
  • Publisher : Butterworth-Heinemann
  • Release : 23 July 2009
GET THIS BOOKIntroduction to Continuum Mechanics

Continuum Mechanics is a branch of physical mechanics that describes the macroscopic mechanical behavior of solid or fluid materials considered to be continuously distributed. It is fundamental to the fields of civil, mechanical, chemical and bioengineering. This time-tested text has been used for over 35 years to introduce junior and senior-level undergraduate engineering students, as well as graduate students, to the basic principles of continuum mechanics and their applications to real engineering problems. The text begins with a detailed presentation of