The Inclusion-Based Boundary Element Method (iBEM)1st Edition Huiming Yin

The Inclusion-Based Boundary Element Method (iBEM) – Ebook Instant Download/Delivery ISBN(s): 9780128193846,0128193840

Product details:

• ISBN-10 ‏ : ‎ 0128193840
• ISBN-13 ‏ : ‎ 978-0128193846
• Author(s): Huiming Yin, Gan Song, Liangliang Zhang, Chunlin Wu

The Inclusion-Based Boundary Element Method (iBEM) is an innovative numerical method for the study of the multi-physical and mechanical behaviour of composite materials, linear elasticity, potential flow or Stokes fluid dynamics. It combines the basic ideas of Eshelby’s Equivalent Inclusion Method (EIM) in classic micromechanics and the Boundary Element Method (BEM) in computational mechanics.

The book starts by explaining the application and extension of the EIM from elastic problems to the Stokes fluid, and potential flow problems for a multiphase material system in the infinite domain. It also shows how switching the Green’s function for infinite domain solutions to semi-infinite domain solutions allows this method to solve semi-infinite domain problems. A thorough examination of particle-particle interaction and particle-boundary interaction exposes the limitation of the classic micromechanics based on Eshelby’s solution for one particle embedded in the infinite domain, and demonstrates the necessity to consider the particle interactions and boundary effects for a composite containing a fairly high volume fraction of the dispersed materials.

Table contents:

Chapter 1: Introduction
Chapter 2: Fundamental solutions
Chapter 3: Integrals of Green’s functions and their derivatives
Chapter 4: The equivalent inclusion method
Chapter 5: The iBEM formulation and implementation
Chapter 6: The iBEM implementation with particle discretization
Chapter 7: The iBEM for potential problems
Chapter 8: The iBEM for the Stokes flows
Chapter 9: The iBEM for time-dependent loads and material behavior
Chapter 10: The iBEM for multiphysical problems
Index

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