Overview

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.

Full Product Details

Author:   Hiromichi Itou ,  Shiro Hirano ,  Masato Kimura ,  Victor A. Kovtunenko
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Verlag, Singapore
Edition:   1st ed. 2020
Volume:   34
Weight:   0.332kg
ISBN:  

9789811560644

ISBN 10:   9811560641
Pages:   204
Publication Date:   30 August 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Part 1: Fracture mechanics (incl. Frictional and free boundary problems) : 80 pages  Atusi Tani (Keio University) : 10 pages  Takahito Kashiwabara (the University of Tokyo) : 10 pages  Takeshi Takaishi (Hiroshima Kokusai Gakuin University) : 10 pages  Yoshimi Tanaka (Yokohama National University) : 10 pages  Hirofumi Wada (Ritsumeikan University) : 10 pages  Patrick J.P. van Meurs (Kanazawa University) : 10 pages  Hayk Mikayelyan (University of Nottingham Ningbo China) : 10 pages  Karel Svadlenka (Kyoto University) : 10 pages Part 2: (Visco)elasticity : 50 pages Kumbakonam R. Rajagopal (Texas A&M University) : 10 pages -- Rethinking constitutive relations Kazumi Tanuma (Gunma University): 10 pages Hiroshi Fujiwara (Kyoto University) : 10 pages Hirofumi Notsu (Kanazawa University) : 10 pages Masato Kimura (Kanazawa University) : 10 pages Part 3: Shape optimization and Inverse problems: 60 pages Victor A. Kovtunenko (University of Graz, Lavrentyev Institute of Hydrodynamics, Siberian Division of the Russian Academy of Sciences) : 10 pages -- Shape differentiability of Lagrangians and applications Kohji Ohtsuka (Hiroshima Kokusai Gakuin University) : 10 pages -- Generalized J-integral under shape differentiability of Lagrangians Takashi Nakazawa (Osaka University): 10 pages -- Shape Optimization Problem for Suppressing Time Periodic Flows Kentaro Yaji (Osaka University): 10 pages -- Topology optimization for scalar transport with application to flow channel designs Frederic Hecht (Lab. Jacques-Louis Lions, University Pierre and Marie CURIE): 10 pages Alemdar Hasanov (Kocaeli University) : 10 pages -- Direct and inverse problems for clamped, simply supported and cantilever beams: Theory and numerical methods with engineering applications Part 4: Earthquake and Tsunami : 80 pages Tatsuo Iguchi (Keio University) : 10 pages Takahiro Hatano (the University of Tokyo) : 10 pages -- Friction in granular matter: simulation and experiment Hatano’s student (the University of Tokyo) : 10 pages Taro Kakinuma (Kagoshima University) : 10 pages Harsha S. Bhat (École Normale Supérieure) : 10 pages -- Upscaling earthquake damage : Towards homogenised and discrete models of dynamic fracture damage Tatsuhiko Saito (National Research Institute for Earth Science and Disaster Prevention (NIED)) : 10 pages -- Tsunami and seismic waves: from generation to inundation Ryoichiro Agata (JAMSTEC) : 10 pages -- Numerical simulation of crustal deformation after an M9-class earthquake based on nonlinear viscoelastic finite element modelling Shiro Hirano (Ritsumeikan University) : 10 pages

Reviews

“The proceedings with their industrial applications are of special importance in engineering, and they could be recommended to engineers, researchers and scientists.” (M. Cengiz Dökmeci, zbMATH 1482.74006, 2022)

The proceedings with their industrial applications are of special importance in engineering, and they could be recommended to engineers, researchers and scientists. (M. Cengiz Doekmeci, zbMATH 1482.74006, 2022)

Author Information

Hiromichi Itou is Associate Professor in the Department of Mathematics at the Tokyo University of Science. He is a representative member of The Japan Society for Industrial and Applied Mathematics (JSIAM). His research interests lie in the areas of Fracture Mechanics, Singular integral equations, Analysis of singularities of corner and crack, theory of elasticity, Inverse problems. Shiro Hirano is Assistant professor in the College of Science and Engineering at the Ritsumeikan University. His research interests lie in the areas of Mathematical modeling of earthquake fault mechanics, Data analysis of seismicity, Laboratory seismology, Earthquake engineering. Masato Kimura is the Full Professor in the Faculty of Mathematics and Physics at the Kanazawa University. He is a representative member of The Japan Society for Industrial and Applied Mathematics (JSIAM) and a leader of analysis group in Kanazawa Mathematics and mathematical science Research Group (KMRG). His research interests include moving boundary problems (mean curvature flow, Hele-Shaw problem, Stefan problem etc.), numerical analysis for PDE (FDM, FEM, BEM etc.) singular perturbation for elliptic eigenvalue problems with large drift, crack problems in fracture mechanics, shape derivative and its application, bulk-surface system, inverse Cauchy transform of domains, pattern formation in reaction diffusion systems, mathematical analysis of particle methods. Victor A. Kovtunenko, PhD (1997), Habilitation (2007) is working at the Lavrentyev Institute of Hydrodynamics of the Siberian Division of the Russian Academy of Sciences, and at the Austrian Academy of Sciences (OeAW). He currently serves as a Project Leader of the Austrian Science Foundation (FWF) at the Institute for Mathematics and Scientific Computing at the University of Graz. His research interests include variational inequalities, shape and topology optimization, nonsmooth and numerical optimization, applications to solid mechanics. Alexandr M. Khludnev is a head of laboratory at the Lavrentyev Institute of Hydrodynamics of the Siberian Division of the Russian Academy of Sciences. Simultaneously he has a part time professor position at Novosibirsk State University. His research interests include variational inequalities, shape and topology optimization, crack problems, contact and free boundary problems in solid mechanics.

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