An Introduction to Non-linear Continuum Thermodynamics

An Introduction to Non-linear Continuum Thermodynamics PDF Author: Giovanni Astarita
Publisher:
ISBN:
Category : Finance, Public
Languages : en
Pages : 154

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Book Description

An Introduction to Non-linear Continuum Thermodynamics

An Introduction to Non-linear Continuum Thermodynamics PDF Author: Giovanni Astarita
Publisher:
ISBN:
Category : Finance, Public
Languages : en
Pages : 154

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Book Description


Nonlinear Solid Mechanics

Nonlinear Solid Mechanics PDF Author: Gerhard A. Holzapfel
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 482

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Book Description
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.

Non-linear Continuum Theories in Mechanics and Physics and their Applications

Non-linear Continuum Theories in Mechanics and Physics and their Applications PDF Author: R. S. Rivlin
Publisher: Springer Science & Business Media
ISBN: 3642110908
Category : Mathematics
Languages : en
Pages : 349

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Book Description
P.A. Blythe: Non-linear far-field theories in relaxing gas flows.- Meixner: Thermodynamics of deformable materials.- A.C. Pipkin: Non-linear phenomena in continua.- R.S. Rivlin: An introduction to non-linear continuum mechanics.- G.F. Smith: The generation of integrity bases.

Thermodynamics

Thermodynamics PDF Author: G. Astarita
Publisher: Springer Science & Business Media
ISBN: 1489907718
Category : Science
Languages : en
Pages : 437

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Book Description
If a Writer would know how to behave himself with relation to Posterity; let him consider in old Books, what he finds, that he is glad to know; and what Omissions he most laments. Jonathan Swift This book emerges from a long story of teaching. I taught chemical engineering thermodynamics for about ten years at the University of Naples in the 1960s, and I still remember the awkwardness that I felt about any textbook I chose to consider-all of them seemed to be vague at best, and the standard of logical rigor seemed immensely inferior to what I could find in books on such other of the students in my first class subjects as calculus and fluid mechanics. One (who is now Prof. F. Gioia of the University of Naples) once asked me a question which I have used here as Example 4. 2-more than 20 years have gone by, and I am still waiting for a more intelligent question from one of my students. At the time, that question compelled me to answer in a way I didn't like, namely "I'll think about it, and I hope I'll have the answer by the next time we meet. " I didn't have it that soon, though I did manage to have it before the end of the course.

The Thermomechanics of Nonlinear Irreversible Behaviors

The Thermomechanics of Nonlinear Irreversible Behaviors PDF Author: G‚rard A. Maugin
Publisher: World Scientific
ISBN: 9789810233754
Category : Science
Languages : en
Pages : 398

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Book Description
In this invaluable book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state. This applies to both fluids and solids with or without microstructures of mechanical or electromagnetic origin. This unmatched richness of essentially nonlinear behaviors is the result of the use of modern mathematical techniques such as convex analysis in a clear-cut framework which allows one to put under the umbrella of ?irreversible thermodynamics? behaviors which until now have been commonly considered either not easily covered, or even impossible to incorporate into such a framework.The book is intended for all students and researchers whose main concern is the rational modeling of complex and/or new materials with physical and engineering applications, such as those accounting for coupled-field, hysteresis, fracture, nonlinear-diffusion, and phase-transformation phenomena.

Continuum Mechanics and Thermodynamics

Continuum Mechanics and Thermodynamics PDF Author: Ellad B. Tadmor
Publisher: Cambridge University Press
ISBN: 1107008263
Category : Science
Languages : en
Pages : 373

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

Nonlinear Solid Mechanics

Nonlinear Solid Mechanics PDF Author: Gerhard A. Holzapfel
Publisher:
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 480

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Book Description
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

Nonlinear Continuum Mechanics for Finite Element Analysis PDF Author: Javier Bonet
Publisher: Cambridge University Press
ISBN: 1139467549
Category : Science
Languages : en
Pages : 349

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Book Description
Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.

Nonlinear Mechanics of Crystals

Nonlinear Mechanics of Crystals PDF Author: John D. Clayton
Publisher: Springer Science & Business Media
ISBN: 9400703503
Category : Science
Languages : en
Pages : 709

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Book Description
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.

Nonlinear Continuum Mechanics and Large Inelastic Deformations

Nonlinear Continuum Mechanics and Large Inelastic Deformations PDF Author: Yuriy I. Dimitrienko
Publisher: Springer Science & Business Media
ISBN: 9400700342
Category : Science
Languages : en
Pages : 742

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Book Description
The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic continua under large deformation. This new approach is based on using energetic and quasi-energetic couples of stress and deformation tensors. This approach leads to a unified treatment of large, anisotropic elastic, viscoelastic, and plastic deformations. The author analyses classical problems, including some involving nonlinear wave propagation, using different models for continua under large deformation, and shows how different models lead to different results. The analysis is accompanied by experimental data and detailed numerical results for rubber, the ground, alloys, etc. The book will be an invaluable text for graduate students and researchers in solid mechanics, mechanical engineering, applied mathematics, physics and crystallography, as also for scientists developing advanced materials.