Mathematical Analysis of Continuum Mechanics and Industrial Applications: Proceedings of the International Conference Comfos15, Itou Hiromichi, Kimura Masato, Chalupeckэ Vladimнr
Описание: 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.
Описание: 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.
Описание: 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.
Описание: 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.
Описание: This book presents selected peer-reviewed contributions from the 2019 International Conference on "Physics and Mechanics of New Materials and Their Applications", PHENMA 2019 (Hanoi, Vietnam, 7-10 November, 2019), divided into four scientific themes: processing techniques, physics, mechanics, and applications of advanced materials.
Описание: The developed original principles and approaches for advanced materials and composites (ferro-piezoelectrics, nanostructures, functional materials and polymeric structures etc.) defines the main achievements and directions of modern natural and technical sciences, technologies, techniques and industry. Direct improvement of the materials and devices characteristics are based on numerous chemical, physical and mechanical studies, modern numerical approaches and methods of mathematical modeling and physical experiment. These PHENMA 2018 proceedings are devoted to development and solution of different actual problems into framework of the above-mentioned scientific directions. The proposed book presents interesting original results in theoretical, computational and experimental methods, which allow manufacturing nano-materials and composites (for example, ferro-piezoelectrical and environmentally-friendly), and other materials in different scale levels with before given and improved properties. The materials could be obtained due to reprocessing natural materials, wasters, fruits and plants. These proceedings also discuss results of mathematical modeling and experimental studies of advanced devices (piezoelectric transducers, energy-harvesters, different sensors, medical devices etc.). The presented studies are based on the new generation nano-materials, ferro-piezoelectrics and other structure-sensitive materials with special properties. The book treats promising modern nano- and microstructure techniques for manufacture of different novel materials (for example, nanostructures) and devices, which are very important for educational purposes and industry, unification and development of various expertises, designs and analyzes. The book presents new results of internationally recognized scientific teams in different areas of materials science, condensed matter physics, physical and mechanical theory and experiment, processing techniques and engineering of advanced materials and composites, numerical methods and numerous applications. These results are devoted to R&D of advanced piezo-ferroelectrics, nanostructures, other promising materials and composites with specific properties, based on the developed processing techniques and modern approaches of chemistry, physics, mechanics and materials science, and also wide spectrum of applications including industry and marketing. The book presents a wide spectrum of results, obtained on the base of original mathematical models, physical experiments, computer modeling, and nano- and piezoelectric applications. This collection presents 50 selected reports of the 2018 International Conference on "Physics, Mechanics of New Materials and Their Applications" (PHENMA 2018, August 9-11, 2018, Busan, South Korea), http://phenma2018.math.sfedu.ru. The book is addressed to students, post-graduate students, scientists and engineers, investigating and developing a new generation of nano-materials and nano-composites, piezo-ferroelectrics, other advanced materials with structure-sensitive properties, and also different devices, manufactured on their base and used in numerous applications in various areas of science, technique and technology. The book presents new research methods and scientific results in the condensed matter physics, materials science, physical and mechanical experiment, processing techniques and engineering of nanomaterials, piezoelectrics and other advanced materials and composites, numerical methods, and also different applications and developed devices.
Описание: This book includes selected, peer-reviewed contributions from the 2018 International Conference on "Physics and Mechanics of New Materials and Their Applications", PHENMA 2018, held in Busan, South Korea, 9-11 August 2018.
Описание: Contains a selection of contributions by mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco during the period of 28-30 October, 2008. This title covers both the theoretical and numerical aspects of nonlinear analysis.
Описание: Aimed at advanced students and active researchers in mathematics or theoretical physics, this book provides a detailed exposition of automorphic forms and representations, from the basics up to cutting-edge research topics at the interface between number theory and string theory.
Автор: Eremeyev, Victor A (gdansk Univ Of Technology, Poland) Lebedev, Leonid P (univ Of Colombia, Colombia) Cloud, Michael J (lawrence Technological Univ, U Название: Applications of tensor analysis in continuum mechanics ISBN: 9813238968 ISBN-13(EAN): 9789813238961 Издательство: World Scientific Publishing Рейтинг: Цена: 22176.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'A strong point of this book is its coverage of tensor theory, which is herein deemed both more readable and more substantial than many other historic continuum mechanics books. The book is self-contained. It serves admirably as a reference resource on fundamental principles and equations of tensor mathematics applied to continuum mechanics. Exercises and problem sets are useful for teaching ... The book is highly recommended as both a graduate textbook and a reference work for students and more senior researchers involved in theoretical and mathematical modelling of continuum mechanics of materials. Key concepts are well described in the text and are supplemented by informative exercises and problem sets with solutions, and comprehensive Appendices provide important equations for ease of reference.'Contemporary PhysicsA tensor field is a tensor-valued function of position in space. The use of tensor fields allows us to present physical laws in a clear, compact form. A byproduct is a set of simple and clear rules for the representation of vector differential operators such as gradient, divergence, and Laplacian in curvilinear coordinate systems. The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that describe continuum bodies. In this case general curvilinear coordinates become necessary. The principal basis of a curvilinear system is constructed as a set of vectors tangent to the coordinate lines. Another basis, called the dual basis, is also constructed in a special manner. The existence of these two bases is responsible for the mysterious covariant and contravariant terminology encountered in tensor discussions.This book provides a clear, concise, and self-contained treatment of tensors and tensor fields. It covers the foundations of linear elasticity, shell theory, and generalized continuum media, offers hints, answers, and full solutions for many of the problems and exercises, and Includes a handbook-style summary of important tensor formulas.The book can be useful for beginners who are interested in the basics of tensor calculus. It also can be used by experienced readers who seek a comprehensive review on applications of the tensor calculus in mechanics.
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