Micromechanical Analysis and Multi-Scale Modeling Using the Voronoi Cell Finite Element Method, (With CD-ROM)

Title: Micromechanical Analysis and Multi-Scale Modeling Using the Voronoi Cell Finite Element Method, (With CD-ROM)
Author: Somnath Ghosh
ISBN: 1420094378 / 9781420094374
Format: Hard Cover + CD Rom
Pages: 729
Publisher: CRC Press
Year: 2011
Availability: Out of Stock

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As multi-phase metal/alloy systems and polymer, ceramic, or metal matrix composite materials are increasingly being used in industry, the science and technology for these heterogeneous materials has advanced rapidly. By extending analytical and numerical models, engineers can analyze failure characteristics of the materials before they are integrated into the design process. Micromechanical Analysis and Multi-Scale Modeling Using the Voronoi Cell Finite Element Method addresses the key problem of multi-scale failure and deformation of materials that have complex microstructures. The book presents a comprehensive computational mechanics and materials science–based framework for multi-scale analysis.

The focus is on micromechanical analysis using the Voronoi cell finite element method (VCFEM) developed by the author and his research group for the efficient and accurate modeling of materials with non-uniform heterogeneous microstructures. While the topics covered in the book encompass the macroscopic scale of structural components and the microscopic scale of constituent heterogeneities like inclusions or voids, the general framework may be extended to other scales as well.

The book presents the major components of the multi-scale analysis framework in three parts. Dealing with multi-scale image analysis and characterization, the first part of the book covers 2D and 3D image-based microstructure generation and tessellation into Voronoi cells. The second part develops VCFEM for micromechanical stress and failure analysis, as well as thermal analysis, of extended microstructural regions. It examines a range of problems solved by VCFEM, from heat transfer and stress-strain analysis of elastic, elastic-plastic, and viscoplastic material microstructures to microstructural damage models including interfacial debonding and ductile failure. Establishing the multi-scale framework for heterogeneous materials with and without damage, the third part of the book discusses adaptive concurrent multi-scale analysis incorporating bottom-up and top-down modeling.

Including numerical examples and a CD-ROM with VCFEM source codes and input/output files, this book is a valuable reference for researchers, engineers, and professionals involved with predicting the performance and failure of materials in structure-materials interactions.

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Introduction

Chapter 1 : Image Extraction and Virtual Microstructure Simulation
Chapter 2 : 2D- and 3D-Mesh Generation by Voronoi Tessellation
Chapter 3 : Microstructure Characterization and Morphology-Based Domain Partitioning
Chapter 4 : The Voronoi Cell Finite Element Method (VCFEM) for 2D Elastic Problems
Chapter 5 : 3D Voronoi Cell Finite Element Method for Elastic Problems
Chapter 6 : 2D Voronoi Cell FEM for Small Deformation Elastic-Plastic Problems
Chapter 7 : Voronoi Cell FEM for Heat Conduction Problems
Chapter 8 : Extended Voronoi Cell FEM for Multiple Brittle Crack Propagation
Chapter 9 : VCFEM/X-VCFEM for Debonding and Matrix Cracking in Composites
Chapter 10 : VCFEM for Inclusion Cracking in Elastic-Plastic Composites
Chapter 11 : Locally Enhanced VCFEM (LE-VCFEM) for Ductile Failure
Chapter 12 : Multi-Scale Analysis of Heterogeneous Materials : Hierarchical Concurrent Multi-Level Models
Chapter 13 : Level-0 Continuum Models from RVE-Based Micromechanical Analysis
Chapter 14 : Adaptive Hierarchical Concurrent Multi-Level Models for Materials Undergoing Damage

Bibliography
Index