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Author: A. I. Murdoch
Publisher:
ISBN: 9781139793322
Category : Continuum mechanics
Languages : en
Pages : 423
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Book Description
"Ian Murdoch's Physical Foundations of Continuum Mechanics will interest engineers, mathematicians and physicists who study macroscopic behaviour (for example, solid mechanics or fluid dynamics) or engage in molecular dynamical simulations. Unlike other works on the subject, Murdoch's book examines physical assumptions implicit in continuum modelling from a molecular perspective. By doing so, this book clarifies physical interpretations of concepts and fields by emphasising their microscopic origin and sensitivity to scale. Murdoch expertly applies these concepts to theories of mixtures, generalised continua and fluid flow through porous media. This unique and thorough work is an authoritative reference for both students and experts in the field"--
Author: A. I. Murdoch
Publisher:
ISBN: 9781139793322
Category : Continuum mechanics
Languages : en
Pages : 423
Get Book
Book Description
"Ian Murdoch's Physical Foundations of Continuum Mechanics will interest engineers, mathematicians and physicists who study macroscopic behaviour (for example, solid mechanics or fluid dynamics) or engage in molecular dynamical simulations. Unlike other works on the subject, Murdoch's book examines physical assumptions implicit in continuum modelling from a molecular perspective. By doing so, this book clarifies physical interpretations of concepts and fields by emphasising their microscopic origin and sensitivity to scale. Murdoch expertly applies these concepts to theories of mixtures, generalised continua and fluid flow through porous media. This unique and thorough work is an authoritative reference for both students and experts in the field"--
Author: A. Ian Murdoch
Publisher: Cambridge University Press
ISBN: 1139788787
Category : Science
Languages : en
Pages : 439
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Book Description
Ian Murdoch's Physical Foundations of Continuum Mechanics will interest engineers, mathematicians, and physicists who study the macroscopic behaviour of solids and fluids or engage in molecular dynamical simulations. In contrast to standard works on the subject, Murdoch's book examines physical assumptions implicit in continuum modelling from a molecular perspective. In so doing, physical interpretations of concepts and fields are clarified by emphasising both their microscopic origin and sensitivity to scales of length and time. Murdoch expertly applies this approach to theories of mixtures, generalised continua, fluid flow through porous media, and systems whose molecular content changes with time. Elements of statistical mechanics are included, for comparison, and two extensive appendices address relevant mathematical concepts and results. This unique and thorough work is an authoritative reference for both students and experts in the field.
Author: Stephen Bechtel
Publisher: Academic Press
ISBN: 0123948347
Category : Science
Languages : en
Pages : 340
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Book Description
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 direct notation for a clear and straightforward presentation of the mathematics, leading to a better understanding of the underlying physics Covers high-interest research areas such as small- and large-deformation continuum electrodynamics, with application to smart materials used in intelligent systems and structures Offers a unique approach to modeling incompressibility and thermal expansion, based on the authors’ own research
Author: John W. Rudnicki
Publisher: John Wiley & Sons
ISBN: 1118927672
Category : Science
Languages : en
Pages : 224
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Book Description
A concise introductory course text on continuum mechanics Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours. It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much more complex material behaviour and their implementation computationally. This book is divided into 5 parts, covering mathematical preliminaries, stress, motion and deformation, balance of mass, momentum and energy, and ideal constitutive relations and is a suitable textbook for introductory graduate courses for students in mechanical and civil engineering, as well as those studying material science, geology and geophysics and biomechanics. A concise introductory course text on continuum mechanics Covers the fundamentals of continuum mechanics Uses modern tensor notation Contains problems and accompanied by a companion website hosting solutions Suitable as a textbook for introductory graduate courses for students in mechanical and civil engineering
Author: Leonid Ivanoviď Sedov
Publisher:
ISBN:
Category : Continuum mechanics
Languages : en
Pages :
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Book Description
Author: Kolumban Hutter
Publisher: Springer Science & Business Media
ISBN: 3662064022
Category : Science
Languages : en
Pages : 645
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Book Description
The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and complements these with methods of dimensional analysis. The intention is to equip the reader with the ability to understand the complex nonlinear modeling in material behaviour and turbulence closure as well as to derive or invent his own models. Examples are mostly taken from environmental physics and geophysics.
Author: P. Chadwick
Publisher: Courier Corporation
ISBN: 048613914X
Category : Science
Languages : en
Pages : 191
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Book Description
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: A. J. M. Spencer
Publisher: Courier Corporation
ISBN: 0486139476
Category : Science
Languages : en
Pages : 194
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Book Description
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.
Author: A. I. Murdoch
Publisher: Cambridge University Press
ISBN: 0521765587
Category : Science
Languages : en
Pages : 439
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Book Description
This authoritative reference book examines and clarifies physical assumptions implicit in continuum modelling from a molecular perspective.
Author: Antonio Romano
Publisher: Springer Science & Business Media
ISBN: 0817648704
Category : Science
Languages : en
Pages : 353
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Book Description
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.
