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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 III: Proceedings of the International Conference CoMFoS18

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