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Micromechanical analysis and multi-scale modeling using the Voronoi cell finite element method

Author: Somnath Ghosh
Publisher: Boca Raton, FL : CRC Press, [2011] ©2011
Series: CRC series in computational mechanics and applied analysis.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ghosh, Somnath.
Micromechanical analysis and multi-scale modeling using the Voronoi cell finite element method.
Boca Raton, FL : Taylor & Francis, 2011
(DLC) 2011026630
(OCoLC)620131544
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Somnath Ghosh
ISBN: 9781420094381 1420094386
OCLC Number: 745936936
Description: 1 online resource (xxv, 703 pages) : illustrations.
Contents: Introduction --
Image extraction and virtual microstructure simulation --
2D- and 3D-mesh generation by Voronoi tessellation --
Microstructure characterization and morphology-based domain partitioning --
The Voronoi cell finite element method (VCFEM) for 2D elastic problems --
3D Voronoi cell finite element method for elastic problems --
2D Voronoi cell FEM for small deformation elastic-plastic problems --
Voronoi cell FEM for heat conduction problems --
Extended Voronoi cell FEM for multiple brittle crack propagation --
VCFEM/X-VCFEM for debonding and matrix cracking in composites --
VCFEM for inclusion cracking in elastic-plastic composites --
Locally enhanced VCFEM (LE-VCFEM) for ductile failure --
Multi-scale analysis of heterogeneous materials : hierarchical concurrent multi-level models --
Level-0 continuum models from RVE-based micromechanical analysis --
Adaptive hierarchical concurrent multi-level models for materials undergoing damage.
Series Title: CRC series in computational mechanics and applied analysis.
Responsibility: Somnath Ghosh.

Abstract:

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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