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The Mechanics of Constitutive Modeling

2005-09-28 Science
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Release : 2005-09-28
Genre : Science
Kind : eBook
Book Rating : 695/5 ( reviews)

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Book Synopsis The Mechanics of Constitutive Modeling by : Niels Saabye Ottosen

Download or read book The Mechanics of Constitutive Modeling written by Niels Saabye Ottosen. This book was released on 2005-09-28. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Constitutive Modelling in Geomechanics

2012-01-21 Science
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Release : 2012-01-21
Genre : Science
Kind : eBook
Book Rating : 955/5 ( reviews)

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Book Synopsis Constitutive Modelling in Geomechanics by : Alexander Puzrin

Download or read book Constitutive Modelling in Geomechanics written by Alexander Puzrin. This book was released on 2012-01-21. Available in PDF, EPUB and Kindle. Book excerpt: 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 often end up with using unrealistic models which violate the Laws of Thermodynamics. The book is introductory, by no means does it claim any completeness and state of the art in such a dynamically developing field as numerical and constitutive modelling of soils. The author gives basic understanding of conventional continuum mechanics approaches to constitutive modelling, which can serve as a foundation for exploring more advanced theories. A considerable effort has been invested here into the clarity and brevity of the presentation. A special feature of this book is in exploring thermomechanical consistency of all presented constitutive models in a simple and systematic manner.

Constitutive Modeling of Engineering Materials

2021-02-18 Technology & Engineering
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Release : 2021-02-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 974/5 ( reviews)

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Book Synopsis Constitutive Modeling of Engineering Materials by : Vladimir Buljak

Download or read book Constitutive Modeling of Engineering Materials written by Vladimir Buljak. This book was released on 2021-02-18. Available in PDF, EPUB and Kindle. Book excerpt: Constitutive Modeling of Engineering Materials provides an extensive theoretical overview of elastic, plastic, damage, and fracture models, giving readers the foundational knowledge needed to successfully apply them to and solve common engineering material problems. Particular attention is given to inverse analysis, parameter identification, and the numerical implementation of models with the finite element method. Application in practice is discussed in detail, showing examples of working computer programs for simple constitutive behaviors. Examples explore the important components of material modeling which form the building blocks of any complex constitutive behavior. Addresses complex behaviors in a wide range of materials, from polymers, to metals and shape memory alloys Covers constitutive models with both small and large deformations Provides detailed examples of computer implementations for material models

Constitutive Modelling of Solid Continua

2019-11-14 Science
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Release : 2019-11-14
Genre : Science
Kind : eBook
Book Rating : 479/5 ( reviews)

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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. This book was released on 2019-11-14. 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 Mechanics

2012-06-18 Science
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Release : 2012-06-18
Genre : Science
Kind : eBook
Book Rating : 576/5 ( reviews)

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Book Synopsis Continuum Mechanics by : Franco M. Capaldi

Download or read book Continuum Mechanics written by Franco M. Capaldi. This book was released on 2012-06-18. Available in PDF, EPUB and Kindle. Book excerpt: 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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