Mathematical Analysis of Continuum Mechanics and Industrial Applications

Part 1: Fracture Mechanics.- Strong but slippery adhesion of mushroom-shaped polysaccharide gels.- Bridging the scales between discrete and continuum dislocation models.- Phase field crack growth model with Hydrogen embrittlement.- On singularities in 2D linearized elasticity.- Part 2: Shape Optimization.- Two-Parameter Topological Expansion of Helmholtz Problems with Inhomogeneity.- Solution of shape optimization problem and its application to product design.- Shape optimization by GJ-integral: Localization method for composite material.- Shape optimization approach by traction method to inverse free boundary problems.- Part 3: Earthquakes and Inverse Problems.- Synthesis of seismic wave envelopes based on the Markov approximation.- Propagation velocity of pulse-like rupture along earthquake faults.- Inverse Source Problem for a Wave Equation with Final Observation Data.- Part 4: Fluid Mechanics and Interface Dynamics.- The contribution of Kawada to the analytical solution for the velocity induced by a helical vortex filament and modern applications of helical vortices.- A new model for fungal hyphae growth using the thin viscous sheet equations.- On Boundary Conditions for Hele-Shaw Problem.- Part 5: Industrial Applications.- Computer Simulation of the Phase Separation of Polymeric Materials for Industrial Applications.- Highly parallel computation of generalized eigenvalue problem in vibration for automatic transmission of vehicles using Sakurai-Sugiura method and supercomputers.- Mathematical analysis of synchronization from the perspective of network science.- Index

Masato KimuraKanazawa University
HiromichiItouTokyo University of Science
Vladimir ChalupeckýFujitsu Ltd.
KohjiOhtsukaHiroshima Kokusai Gakuin University
Daisuke TagamiInstitute of Math-for-Industry, Kyushu University
Akira Takada Asahi Glass Co., Ltd.

"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)