Mathematical Analysis of Continuum Mechanics and Industrial Applications II

Part I. Fracture Mechanics

1. Mathematical Modeling of the Desiccation Cracking
Sayako Hirobe

2. Fatigue Crack Growth Analysis of an Interfacial Crack in Heterogonous Material Using XIGA
Indra Vir Singh, Gagandeep Bhardwaj

3. A Comparison of Delamination Models: Modeling, Properties, and Applications
Marita Thomas

4. Simulation of Ductile Fracture in Amorphous and Polycrystalline Materials by Multiscale Cohesive Zone Model
Shingo Urata, Shaofan Li

5. Critical Scaling and Prediction of Snap-Through Buckling
Tetsuo Yamaguchi, Hiroshi Ohtsubo, Yoshinori Sawae

Part II. Shape Optimization

6. Second Derivatives of Cost Functions and



Hideyuki Azegami

7. Shape Optimization by Generalized J-Integral in Poisson’s Equation with a Mixed Boundary Condition
Kohji Ohtsuka

Part III. Modeling of Earthquakes

8. On Applications of Fast Domain Partitioning Method to Earthquake Simulations with Spatiotemporal Boundary Integral Equation Method
Ryosuke Ando

9. Integral Representation and Its Applications in Earthquake Mechanics: A Review
Shiro Hirano

Part IV. Material Structure

10. Brief Introduction to Damage Mechanics and Its Relation to Deformations
Simon Grützner, Adrian Muntean

11. Structured Deformations of Continua: Theory and Applications
Marco Morandotti

Part V. Interface Dynamics

12. Gradient Flows with Wiggly Potential: A Variational Approach to Dynamics
Nadia Ansini

13. Energy-Stable Numerical Schemes for Multiscale Simulations of Polymer–Solvent Mixtures
Mária Lukáčová-Medvid’ová, Burkhard Dünweg, Paul Strasser, Nikita Tretyakov

Part VI. Complex Systems

14. On Mathematical Modeling and Analysis of Brain Network
Hirotada Honda

15. Convergence Rates for Discrete-to-Continuum Limits in 1D Particle Systems
Patrick Meurs

Keywords: Engineering, Continuum Mechanics and Mechanics of Materials, Mathematical Modeling and Industrial Mathematics, Optimization, Industrial and Production Engineering, Surface and Interface Science, Thin Films, Engineering Fluid Dynamics