Microstructures in Elastic Media Principles and Computational Methods [Hardcover]

This monograph describes various methods for solving deformation problems of particulate solids, taking the reader from analytical to computational methods. The book is the first to present the topic of linear elasticity in mathematical terms that will be familiar to anyone with a grounding in fluid mechanics. It incorporates the latest advances in computational algorithms for elliptic partial differential equations, and provides the groundwork for simulations on high performance parallel computers. Numerous exercises complement the theoretical discussions, and a related set of self-documented programs is available to readers with Internet access. The work will be of interest to advanced students and practicing researchers in mechanical engineering, chemical engineering, applied physics, computational methods, and developers of numerical modeling software.

1. Fundamental Equations
2. Multipole Expansion and Rigid Inclusions
3. Faxen Relations and Ellipsoidal Inclusions
4. Load Transfer Problem and Boundary Collocation
5. Completed Double Layer Boundary Element Method
6. Numerical Implementation
7. Some Applications of CDL-BIEM

It provides an excellent collection of fundamental solutions to various problems in elasticity theory and it describes a wide range of solution procedures. --Proceedings of the IMechE