Micromechanics

About: Micromechanics is a research topic. Over the lifetime, 6000 publications have been published within this topic receiving 162635 citations.

Finite element analysis of composite materials

Abstract: MECHANICS OF ORTHOTROPIC MATERIALS Material Coordinate System Displacements Strain Stress Contracted Notation Equilibrium and Virtual Work Boundary Conditions Continuity Conditions Compatibility Coordinate Transformations Transformation of Constitutive Equations 3D Constitutive Equations Engineering Constants From 3D to Plane Stress Equations Apparent Laminate Properties Suggested Problems References INTRODUCTION TO THE FINITE ELEMENT METHOD Basic FEM Procedure General FEM Procedure FE Analysis with CAE Systems Suggested Problems References ELASTICITY AND STRENGTH OF LAMINATES Kinematics of Shells FE Analysis of Laminates Failure Criteria Suggested Problems References BUCKLING Bifurcation Methods Continuation Methods Suggested Problems References FREE EDGE STRESSES Poisson's Mismatch Coefficient of Mutual Influence Suggested Problems References COMPUTATIONAL MICROMECHANICS Analytical Homogenization Numerical Homogenization Local-Global Analysis Laminated RVE Suggested Problems References VISCOELASTICITY Viscoelastic Models Boltzmann Superposition Correspondence Principle Frequency Domain Spectrum Representation Micromechanics of Viscoelastic Composites Macro-Mechanics of Viscoelastic Composites FEA of Viscoelastic Composites Suggested Problems References DAMAGE MECHANICS One-Dimensional Damage Mechanics Multi-Dimensional Damage and Effective Spaces Thermodynamics Formulation Kinetic Law in Three-Dimensional Space Damage and Plasticity Suggested Problems References A DAMAGE MODEL FOR FIBER REINFORCED COMPOSITES Theoretical Formulation Numerical Implementation Model Identification Laminate Damage References Bibliography DELAMINATIONS Two-Dimensional Delamination Delamination in Composite Plates Suggested Problems References APPENDIX A: TENSOR ALGEBRA Principal Directions of Stress and Strain Tensor Symmetry Matrix Representation of a Tensor Inner-Product Tensor Multiplication Tensor Inversion Tensor Differentiation APPENDIX B: STRAIN CONCENTRATION TENSORS APPENDIX C: SECOND ORDER DIAGONAL DAMAGE MODELS Effective and Damaged Spaces Thermodynamic Force Y Damage Surface Unrecoverable-Strain Surface APPENDIX D: NUMERICAL INVERSE LAPLACE TRANSFORM APPENDIX E: INTRODUCTION TO THE SOFTWARE INTERFACE ANSYS BMI3 References INDEX

Engineered Cementitious Composites (ECC) - Tailored Composites Through Micromechanical Modeling

Abstract: This article provides a brief overview of several classes of fiber reinforced cement based composites and suggests future directions in FRC development. Special focus is placed on micromechanics based design methodology of strain-hardening cement based composites. As example, a particular engineered cementitious composite newly developed at the ACE-MRL at the University of Michigan is described in detail with regard to its design, material composition, processing, and mechanical properties. Three potential applications which utilize the unique properties of such composites are cited in this paper, and future research needs are identified.

Micromechanics of Composite Materials: A Generalized Multiscale Analysis Approach

Abstract: With composites under increasing use in industry to replace traditional materials in components and structures, the modeling of composite performance, damage and failure has never been more important. Micromechanics of Composite Materials: A Generalized Multiscale Analysis Approach brings together comprehensive background information on the multiscale nature of the composite, constituent material behaviour, damage models and key techniques for multiscale modelling, as well as presenting the findings and methods, developed over a lifetime’s research, of three leading experts in the field. The unified approach presented in the book for conducting multiscale analysis and design of conventional and smart composite materials is also applicable for structures with complete linear and nonlinear material behavior, with numerous applications provided to illustrate use. Modeling composite behaviour is a key challenge in research and industry; when done efficiently and reliably it can save money, decrease time to market with new innovations and prevent component failure. This book provides the tools and knowledge from leading micromechanics research, allowing researchers and senior engineers within academia and industry with to improve results and streamline development workflows. Brings together for the first time the findings of a lifetime’s research in micromechanics by recognized leaders in the field Provides a comprehensive overview of all micromechanics formulations in use today and a unified approach that works for the multiscale analysis and design of multi-phased composite materials, considering both small strain and large strain formulations Combines otherwise disparate theory, code and techniques in a step-by-step manner for efficient and reliable modeling of composites