Heterogeneous Media: Local Fields, Effective Properties, and Wave Propagation

Heterogeneous Media: Local Fields, Effective Properties, and Wave Propagation outlines new computational methods for solving volume integral equation problems in heterogeneous media. The book starts by surveying the various numerical methods of analysis of static and dynamic fields in heterogeneous media, listing their strengths and weaknesses, before moving onto an introduction of static and dynamic green functions for homogeneous media. Volume and surface integral equations for fields in heterogenous media are discussed next, followed by an overview of explicit formulas for numerical calculations of volume and surface potentials. The book then segues into Gaussian functions for discretization of volume integral equations for fields in heterogenous media, static problems for a homogeneous host medium with heterogeneous inclusions, volume integral equations for scattering problems, and concludes with a chapter outlining solutions to homogenization problems and calculations of effective properties of heterogeneous media. The book concludes with multiple appendices feature the texts of basic programs for solving volume integral equations, written in Mathematica. Outlines cutting-edge computational methods for solving volume integral equation problems in heterogeneous mediaProvides applied examples of the approximate approximation and other methods being employedDemonstrates calculation of composite material properties and the constitutive laws for averaged fields within themCovers static and dynamic 2D and 3D mechanical-mathematical models for heterogeneous media INDICE: 1. Fields in Homogeneous Media with External and Internal Sources2. Volume and Surface Integral Equations for Fields in Heterogeneous Media3. Numerical Calculation of Volume and Surface Potentials4. Numerical Solution of Volume Integral Equations5. Static Problems for a Homogeneous Medium with Isolated Inclusions6. Scattering of Plane Monochromatic Waves on an Isolated Inclusion7. Homogenization Problem

• ISBN: 978-0-12-819880-3
• Editorial: Elsevier
• Encuadernacion: Rústica
• Páginas: 500
• Fecha Publicación: 01/11/2020
• Nº Volúmenes: 1
• Idioma: Inglés