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Mathematical Analysis of Continuum Mechanics and Industrial Applications

Proceedings of the International Conference CoMFoS15

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Hiromichi Itou

    1. Tokyo University of Science, Tokyo, Japan

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  2. Masato Kimura

    1. Inst of Science and Engineering, Kanazawa University, Kanazawa, Japan

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  3. Vladimír Chalupecký

    1. Fujitsu Ltd., Tokyo, Japan

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  4. Kohji Ohtsuka

    1. Hiroshima Kokusai Gakuin University, Hiroshima, Japan

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  5. Daisuke Tagami

    1. Kyushu University, Fukuoka, Japan

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  6. Akira Takada

    1. Asahi Glass Co., Ltd., Tokyo, Japan

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  • Provides state-of-the-art mathematical modeling in continuum mechanics
  • Introduces interesting mathematical applications in industry
  • Gives readers clues to enhance competitiveness and innovation in industrial research on the strength of mathematics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics for Industry (MFI, volume 26)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-viii
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  2. Fracture Mechanics

    1. Front Matter

      Pages 1-1
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    2. Strong but Slippery Adhesion of Mushroom-Shaped Polysaccharide Gels

      • Yoshimi Tanaka, Teppei Nakamichi
      Pages 3-13

    3. Bridging the Scales Between Discrete and Continuum Dislocation Models

      • Patrick van Meurs
      Pages 15-25

    4. Phase Field Crack Growth Model with Hydrogen Embrittlement

      • Takeshi Takaishi
      Pages 27-34

    5. On Singularities in 2D Linearized Elasticity

      • Hiromichi Itou
      Pages 35-47

  3. Shape Optimization

    1. Front Matter

      Pages 49-49
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    2. Two-Parameter Topological Expansion of Helmholtz Problems with Inhomogeneity

      • Victor A. Kovtunenko
      Pages 51-81

    3. Solution of Shape Optimization Problem and Its Application to Product Design

      • Hideyuki Azegami
      Pages 83-98

    4. Shape Optimization by GJ-Integral: Localization Method for Composite Material

      • Kohji Ohtsuka
      Pages 99-109

    5. Shape Optimization Approach by Traction Method to Inverse Free Boundary Problems

      • Shogen Shioda, Ahsani Ummi Maharani, Masato Kimura, Hideyuki Azegami, Kohji Ohtsuka
      Pages 111-123

  4. Earthquakes and Inverse Problems

    1. Front Matter

      Pages 125-125
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    2. Synthesis of Seismic Wave Envelopes Based on the Markov Approximation

      • Kentaro Emoto
      Pages 127-142

    3. Propagation Velocity of Pulse-Like Rupture Along Earthquake Faults

      • Shiro Hirano
      Pages 143-152

    4. Inverse Source Problem for a Wave Equation with Final Observation Data

      • Daijun Jiang, Yikan Liu, Masahiro Yamamoto
      Pages 153-164

  5. Fluid Mechanics and Interface Dynamics

    1. Front Matter

      Pages 165-165
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    2. The Contribution of Kawada to the Analytical Solution for the Velocity Induced by a Helical Vortex Filament and Modern Applications of Helical Vortices

      • Yasuhide Fukumoto, Valery L. Okulov, David H. Wood
      Pages 167-174

    3. A New Model for Fungal Hyphae Growth Using the Thin Viscous Sheet Equations

      • Thomas de Jong, Georg Prokert, Joost Hulshof
      Pages 175-184

    4. On Boundary Conditions for Hele-Shaw Problem

      • Hisasi Tani
      Pages 185-194

  6. Industrial Applications

    1. Front Matter

      Pages 195-195
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Keywords

About this book

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.

Reviews

“This book gives the reader a representative view of an enormous variety of continuum mechanics topics. It provides an excellent overview of the current state of research on applied continuum mechanics … The book will be also suitable for use in specialized courses for doctoral students.” (Andrzej Icha, Pure and Applied Geophysics, Vol. 175, 2018)

Editors and Affiliations

  • Tokyo University of Science, Tokyo, Japan

    Hiromichi Itou

  • Inst of Science and Engineering, Kanazawa University, Kanazawa, Japan

    Masato Kimura

  • Fujitsu Ltd., Tokyo, Japan

    Vladimír Chalupecký

  • Hiroshima Kokusai Gakuin University, Hiroshima, Japan

    Kohji Ohtsuka

  • Kyushu University, Fukuoka, Japan

    Daisuke Tagami

  • Asahi Glass Co., Ltd., Tokyo, Japan

    Akira Takada

About the editors

Masato Kimura
Kanazawa University


HiromichiItou
Tokyo University of Science


Vladimir Chalupecký
Fujitsu Ltd.


KohjiOhtsuka
Hiroshima Kokusai Gakuin University


Daisuke Tagami
Institute of Math-for-Industry, Kyushu University


Akira Takada 
Asahi Glass Co., Ltd.

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