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Mathematical Analysis of Continuum Mechanics and Industrial Applications III

2020-08-29 Science
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Release : 2020-08-29
Genre : Science
Kind : eBook
Book Rating : 625/5 ( reviews)

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Book Synopsis Mathematical Analysis of Continuum Mechanics and Industrial Applications III by : Hiromichi Itou

Download or read book Mathematical Analysis of Continuum Mechanics and Industrial Applications III written by Hiromichi Itou. This book was released on 2020-08-29. Available in PDF, EPUB and Kindle. Book excerpt: 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 Analysis of Continuum Mechanics and Industrial Applications

2016-11-18 Science
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Release : 2016-11-18
Genre : Science
Kind : eBook
Book Rating : 335/5 ( reviews)

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Book Synopsis Mathematical Analysis of Continuum Mechanics and Industrial Applications by : Hiromichi Itou

Download or read book Mathematical Analysis of Continuum Mechanics and Industrial Applications written by Hiromichi Itou. This book was released on 2016-11-18. Available in PDF, EPUB and Kindle. Book excerpt: 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 II

2017-11-16 Science
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Release : 2017-11-16
Genre : Science
Kind : eBook
Book Rating : 838/5 ( reviews)

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Book Synopsis Mathematical Analysis of Continuum Mechanics and Industrial Applications II by : Patrick van Meurs

Download or read book Mathematical Analysis of Continuum Mechanics and Industrial Applications II written by Patrick van Meurs. This book was released on 2017-11-16. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Continuum Mechanics and Linear Elasticity

2019-11-02 Technology & Engineering
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Release : 2019-11-02
Genre : Technology & Engineering
Kind : eBook
Book Rating : 710/5 ( reviews)

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Book Synopsis Continuum Mechanics and Linear Elasticity by : Ciprian D. Coman

Download or read book Continuum Mechanics and Linear Elasticity written by Ciprian D. Coman. This book was released on 2019-11-02. Available in PDF, EPUB and Kindle. Book excerpt: This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever it is deemed more sensible. With the increasing demand for continuum modeling in such diverse areas as mathematical biology and geology, it is imperative to have various approaches to continuum mechanics and elasticity. This book presents these subjects from an applied mathematics perspective. In particular, it extensively uses linear algebra and vector calculus to develop the fundamentals of both subjects in a way that requires minimal use of coordinates (so that beginning graduate students and junior researchers come to appreciate the power of the tensor notation).

Nonlinear Analysis and Continuum Mechanics

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 96X/5 ( reviews)

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Book Synopsis Nonlinear Analysis and Continuum Mechanics by : Giuseppe Butazzo

Download or read book Nonlinear Analysis and Continuum Mechanics written by Giuseppe Butazzo. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes: First, to honor James Serrin, in whose work the four fields frequently interacted; and second, to bring together work in fields that are usually pursued independently but that remain remarkably interrelated. Serrin's contributions to mathematical analysis and its applications are fundamental and include such theorems and methods as the Gilbarg- Serrin theorem on isoated singularities, the Serrin symmetry theorem, the Alexandrov-Serrin moving-plane technique, The Peletier-Serrin uniqueness theorem, and the Serrin integal of the calculus of variations. Serrin has also been noted for the elegance of his mathematical work and for the effectiveness of his teaching and collaborations.

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