Mathematical Theory Of Continuum Mechanics

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Mathematical Theory Of Continuum Mechanics

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Author : Rabindranath Chatterjee
language : en
Publisher: Alpha Science Int'l Ltd.
Release Date : 1999

Mathematical Theory Of Continuum Mechanics written by Rabindranath Chatterjee and has been published by Alpha Science Int'l Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

This text provides an introduction to the theory of continuum mechanics in a logically satisfying form. A simple knowledge of Cartesian tensors is a sufficient prerequisite for this book. The book deals with two major branches of continuum mechanics - the mechanics of elastic solids and the mechanics of fluids providing the basis of civil and mechanical engineering, applied mathematics and physics. Traditional courses in solid mechanics and fluid mechanics are usually taught separately with emphasis on physical behaviour at the cost of rigorous mathematical foundation neglecting the analogies between solids and fluids. The book brings two disciplines under one roof seeking to generalize and unify specialized topics.

Continuum Mechanics And Theory Of Materials

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Author : Peter Haupt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Continuum Mechanics And Theory Of Materials written by Peter Haupt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.

From the reviews: "In striving toward the encyclopedic, Haupt employs a full arsenal of geometric tools, from curvilinear coordinates to several different strain tensors for both the spatial and material formulations. The emphasis throughout is on the mechanics of solids." SIAM Review

Continuum Mechanics

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Author : P. Chadwick
language : en
Publisher: Courier Corporation
Release Date : 2012-08-08

Continuum Mechanics written by P. Chadwick and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-08 with Science categories.

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

Mathematical Analysis Of Continuum Mechanics And Industrial Applications

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Author : Hiromichi Itou
language : en
Publisher: Springer
Release Date : 2016-11-18

Mathematical Analysis Of Continuum Mechanics And Industrial Applications written by Hiromichi Itou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-18 with Science categories.

This book focuses on mathematical theory and numerical simulation related to various aspects of continuum mechanics, such as fracture mechanics, elasticity, plasticity, pattern dynamics, inverse problems, optimal shape design, material design, and disaster estimation related to earthquakes. Because these problems have become more important in engineering and industry, further development of mathematical study of them is required for future applications. Leading researchers with profound knowledge of mathematical analysis from the fields of applied mathematics, physics, seismology, engineering, and industry provide the contents of this book. They help readers to understand that mathematical theory can be applied not only to different types of industry, but also to a broad range of industrial problems including materials, processes, and products.

Mathematical Analysis Of Continuum Mechanics And Industrial Applications Iii

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Author : Hiromichi Itou
language : en
Publisher: Springer Nature
Release Date : 2020-08-29

Mathematical Analysis Of Continuum Mechanics And Industrial Applications Iii written by Hiromichi Itou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-29 with Science categories.

This book focuses on mathematical theory and numerical simulation related to various areas of continuum mechanics, such as fracture mechanics, (visco)elasticity, optimal shape design, modelling of earthquakes and Tsunami waves, material structure, interface dynamics and complex systems. Written by leading researchers from the fields of applied mathematics, physics, seismology, engineering, and industry with an extensive knowledge of mathematical analysis, it helps readers understand how mathematical theory can be applied to various phenomena, and conversely, how to formulate actual phenomena as mathematical problems. This book is the sequel to the proceedings of the International Conference of Continuum Mechanics Focusing on Singularities (CoMFoS) 15 and CoMFoS16.

Mathematical Methods In Continuum Mechanics Of Solids

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Author : Martin Kružík
language : en
Publisher: Springer
Release Date : 2019-03-02

Mathematical Methods In Continuum Mechanics Of Solids written by Martin Kružík and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-02 with Science categories.

This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.

Mathematical Analysis Of Continuum Mechanics And Industrial Applications Ii

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Author : Patrick van Meurs
language : en
Publisher: Springer
Release Date : 2017-11-16

Mathematical Analysis Of Continuum Mechanics And Industrial Applications Ii written by Patrick van Meurs and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-16 with Science categories.

As the sequel to the proceedings of the International Conference of Continuum Mechanics Focusing on Singularities (CoMFoS15), the proceedings of CoMFoS16 present further advances and new topics in mathematical theory and numerical simulations related to various aspects of continuum mechanics. These include fracture mechanics, shape optimization, modeling of earthquakes, material structure, interface dynamics and complex systems.. The authors are leading researchers with a profound knowledge of mathematical analysis from the fields of applied mathematics, physics, seismology, engineering, and industry. The book helps readers to understand how mathematical theory can be applied to various industrial problems, and conversely, how industrial problems lead to new mathematical challenges.

Topics On Mathematical Theory Of Continuum Mechanics

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Author : S. S. Shu
language : en
Publisher:
Release Date : 1966

Topics On Mathematical Theory Of Continuum Mechanics written by S. S. Shu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Continuum mechanics categories.

Geometric Continuum Mechanics

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Author : Reuven Segev
language : en
Publisher: Springer Nature
Release Date : 2020-05-13

Geometric Continuum Mechanics written by Reuven Segev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-13 with Mathematics categories.

This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics. In particular, the contributors use notions from areas such as global analysis, algebraic topology, and geometric measure theory. Chapter authors are experts in their respective areas, and provide important insights from the most recent research. Organized into two parts, the book first covers kinematics, forces, and stress theory, and then addresses defects, uniformity, and homogeneity. Specific topics covered include: Global stress and hyper-stress theories Applications of de Rham currents to singular dislocations Manifolds of mappings for continuum mechanics Kinematics of defects in solid crystals Geometric Continuum Mechanics will appeal to graduate students and researchers in the fields of mechanics, physics, and engineering who seek a more rigorous mathematical understanding of the area. Mathematicians interested in applications of analysis and geometry will also find the topics covered here of interest.

Topics On Mathematical Theory Of Continuum Mechanics

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Author : Shien-siu Shu
language : en
Publisher:
Release Date : 1969

Topics On Mathematical Theory Of Continuum Mechanics written by Shien-siu Shu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Continuum mechanics categories.