Mathematical Analysis of Continuum Mechanics and Industrial Applications II : Proceedings of the International Conference CoMFoS16

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. Front Matter ....Pages i-viii Front Matter ....Pages 1-1 Mathematical Modeling of the Desiccation Cracking (Sayako Hirobe)....Pages 3-13 Fatigue Crack Growth Analysis of an Interfacial Crack in Heterogonous Material Using XIGA (Indra Vir Singh, Gagandeep Bhardwaj)....Pages 15-26 A Comparison of Delamination Models: Modeling, Properties, and Applications (Marita Thomas)....Pages 27-38 Simulation of Ductile Fracture in Amorphous and Polycrystalline Materials by Multiscale Cohesive Zone Model (Shingo Urata, Shaofan Li)....Pages 39-50 Critical Scaling and Prediction of Snap-Through Buckling (Tetsuo Yamaguchi, Hiroshi Ohtsubo, Yoshinori Sawae)....Pages 51-57 Front Matter ....Pages 59-59 Second Derivatives of Cost Functions and \(H^1\) Newton Method in Shape Optimization Problems (Hideyuki Azegami)....Pages 61-72 Shape Optimization by Generalized J-Integral in Poisson’s Equation with a Mixed Boundary Condition (Kohji Ohtsuka)....Pages 73-83 Front Matter ....Pages 85-85 On Applications of Fast Domain Partitioning Method to Earthquake Simulations with Spatiotemporal Boundary Integral Equation Method (Ryosuke Ando)....Pages 87-99 Integral Representation and Its Applications in Earthquake Mechanics: A Review (Shiro Hirano)....Pages 101-112 Front Matter ....Pages 113-113 Brief Introduction to Damage Mechanics and Its Relation to Deformations (Simon Grützner, Adrian Muntean)....Pages 115-124 Structured Deformations of Continua: Theory and Applications (Marco Morandotti)....Pages 125-136 Front Matter ....Pages 137-137 Gradient Flows with Wiggly Potential: A Variational Approach to Dynamics (Nadia Ansini)....Pages 139-151 Energy-Stable Numerical Schemes for Multiscale Simulations of Polymer–Solvent Mixtures (Mária Lukáčová-Medvid’ová, Burkhard Dünweg, Paul Strasser, Nikita Tretyakov)....Pages 153-165 Front Matter ....Pages 167-167 On Mathematical Modeling and Analysis of Brain Network (Hirotada Honda)....Pages 169-180 Convergence Rates for Discrete-to-Continuum Limits in 1D Particle Systems (Patrick van Meurs)....Pages 181-193 Annotation 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 ofearthquakes, 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