Mathematical Analysis of Continuum Mechanics and Industrial Applications

Part I. Fracture Mechanics

1. Strong but Slippery Adhesion of Mushroom-Shaped Polysaccharide Gels
Yoshimi Tanaka, Teppei Nakamichi

2. Bridging the Scales Between Discrete and Continuum Dislocation Models
Patrick Meurs

3. Phase Field Crack Growth Model with Hydrogen Embrittlement
Takeshi Takaishi

4. On Singularities in 2D Linearized Elasticity
Hiromichi Itou

Part II. Shape Optimization

5. Two-Parameter Topological Expansion of Helmholtz Problems with Inhomogeneity
Victor A. Kovtunenko

6. Solution of Shape Optimization Problem and Its Application to Product Design
Hideyuki Azegami

7. Shape Optimization by GJ-Integral: Localization Method for Composite Material
Kohji Ohtsuka

8. Shape Optimization Approach by Traction Method to Inverse Free Boundary Problems
Shogen Shioda, Ahsani Ummi Maharani, Masato Kimura, Hideyuki Azegami, Kohji Ohtsuka

Part III. Earthquakes and Inverse Problems

9. Synthesis of Seismic Wave Envelopes Based on the Markov Approximation
Kentaro Emoto

10. Propagation Velocity of Pulse-Like Rupture Along Earthquake Faults
Shiro Hirano

11. Inverse Source Problem for a Wave Equation with Final Observation Data
Daijun Jiang, Yikan Liu, Masahiro Yamamoto

Part IV. Fluid Mechanics and Interface Dynamics

12. 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

13. A New Model for Fungal Hyphae Growth Using the Thin Viscous Sheet Equations
Thomas Jong, Georg Prokert, Joost Hulshof

14. On Boundary Conditions for Hele-Shaw Problem
Hisasi Tani

Part V. Industrial Applications

15. Computer Simulation of the Phase Separation of Polymeric Materials for Industrial Applications
Takeshi Aoyagi

16. Highly Parallel Computation of Generalized Eigenvalue Problem in Vibration for Automatic Transmission of Vehicles Using the Sakurai–Sugiura Method and Supercomputers
Takanori Ide, Yuto Inoue, Yasunori Futamura, Tetsuya Sakurai

17. Mathematical Analysis of Synchronization from the Perspective of Network Science
Hirotada Honda, Atusi Tani

Avainsanat: Engineering, Continuum Mechanics and Mechanics of Materials, Computational Mathematics and Numerical Analysis, Theoretical, Mathematical and Computational Physics, Classical and Continuum Physics, Surfaces and Interfaces, Thin Films