Continuum Mechanics With Eulerian Formulations Of Constitutive Equations

Author : M.B. Rubin
Publisher :
ISBN 13 : 9783030577773
Total Pages : 0 pages
Book Rating : 4.75/5 ( download)

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Download or read book Continuum Mechanics with Eulerian Formulations of Constitutive Equations written by M.B. Rubin and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic-inelastic materials; thermoelastic-inelastic materials with application to shock waves; thermoelastic-inelastic porous materials; and thermoelastic-inelastic growing biological tissues.

Author : M.B. Rubin
Publisher : Springer Nature
ISBN 13 : 3030577767
Total Pages : 284 pages
Book Rating : 4.66/5 ( download)

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Download or read book Continuum Mechanics with Eulerian Formulations of Constitutive Equations written by M.B. Rubin and published by Springer Nature. This book was released on 2020-10-11 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic–inelastic materials; thermoelastic–inelastic materials with application to shock waves; thermoelastic–inelastic porous materials; and thermoelastic–inelastic growing biological tissues.

Author : Zishun Liu
Publisher : World Scientific
ISBN 13 : 981128380X
Total Pages : 386 pages
Book Rating : 4.02/5 ( download)

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Download or read book Fundamentals Of Continuum Mechanics written by Zishun Liu and published by World Scientific. This book was released on 2024-02-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a concise yet rigorous treatment of continuum mechanics at the introductory level. It differs from traditional textbooks by combining tensor analysis with mechanical analysis and teaching the former's basics within a single chapter. Readers of this book are not required to have learned tensor analysis in the context of engineering mathematics beforehand.The basic objectives of continuum mechanics are included in this textbook to facilitate an easy and thorough understanding of the concepts of continuum mechanics and elasticity. In addition, the mathematics and physics of deformation and kinematics are introduced and studied from the concept of stretch rather than from the traditional approach of strain. The large deformation problem of new smart soft materials is also introduced.This textbook provides illustrative examples and problem sets that enable readers to test their understanding of the subject matter and utilize the tools developed in the formulation of engineering problems. It is suitable for students whose undergraduate disciplines are non-mechanics-related fields. It also helps students or engineers who use the finite element method (FEM) to analyze problems to interpret the results produced by FEM software.

Author : Antonio Romano
Publisher : Springer Science & Business Media
ISBN 13 : 0817648704
Total Pages : 353 pages
Book Rating : 4.01/5 ( download)

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Download or read book Continuum Mechanics written by Antonio Romano and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields.

Author : P. Chadwick
Publisher : Courier Corporation
ISBN 13 : 048613914X
Total Pages : 191 pages
Book Rating : 4.42/5 ( download)

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Download or read book Continuum Mechanics written by P. Chadwick and published by Courier Corporation. This book was released on 2012-08-08 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div

Author : Tariq A. Khraishi
Publisher :
ISBN 13 : 9781606507148
Total Pages : 88 pages
Book Rating : 4.41/5 ( download)

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Download or read book Continuum Mechanics written by Tariq A. Khraishi and published by . This book was released on 2015 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the previous chapters we've learned about the definition and meaning of the concepts of stress and strain. One is an objective measure of load and the other is an objective measure of deformation. In fluids, one talks about the rate of deformation as opposed to simply strain (i.e., deformation by itself). We all know, though, that deformation is caused by loads (i.e., there must be a relationship between stress and strain). A relationship between stress and strain (or rate-of-deformation tensor) is simply called a "constitutive equation." Below we will describe how such equations are formulated.

Author : Fridtjov Irgens
Publisher : Springer Science & Business Media
ISBN 13 : 3540742980
Total Pages : 667 pages
Book Rating : 4.82/5 ( download)

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Download or read book Continuum Mechanics written by Fridtjov Irgens and published by Springer Science & Business Media. This book was released on 2008-01-10 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction into the entire science of Continuum Mechanics in three parts. The presentation is modern and comprehensive. Its introduction into tensors is very gentle. The book contains many examples and exercises, and is intended for scientists, practitioners and students of mechanics.

Author : T. J. Chung
Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.03/5 ( download)

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Download or read book Continuum Mechanics written by T. J. Chung and published by . This book was released on 1988 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Stefan Hiermaier
Publisher : Springer Science & Business Media
ISBN 13 : 0387738630
Total Pages : 416 pages
Book Rating : 4.35/5 ( download)

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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.

Author : A. J. M. Spencer
Publisher : Courier Corporation
ISBN 13 : 0486139476
Total Pages : 194 pages
Book Rating : 4.70/5 ( download)

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Download or read book Continuum Mechanics written by A. J. M. Spencer and published by Courier Corporation. This book was released on 2012-06-08 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.