1st Edition

Computational Modeling of Polymer Composites A Study of Creep and Environmental Effects

By Samit Roy, J.N. Reddy Copyright 2014
    300 Pages 2 Color & 139 B/W Illustrations
    by CRC Press

    Computational Modeling of Polymer Composites: A Study of Creep and Environmental Effects details the development of polymeric materials and their use in smart materials and composite structures in aerospace and automotive industries. Based on the authors' work during the past 30 years, this book provides a strong understanding of the theories and associated finite element life-prediction models for elastic and viscoelastic response of polymers and polymer composites in aggressive environments. The subject is an interdisciplinary one where chemists, material scientists, and chemical, mechanical, and structural engineers contribute to the overall product.

    Books on polymer composites are usually of three types: material science, mechanics, and computational. This book combines mechanics of materials with the computational element. The authors suggest an introductory course on mechanics of materials to cover all bases. The book begins with mathematical preliminaries, equations of anisotropic elasticity, virtual work principles, and variational methods. It provides an introduction to the finite element method and finite element analysis of viscoelastic materials, and then moves on to the solvent diffusion process in polymers and polymeric composites, as well as the linear and nonlinear viscoelastic models and the implementation of finite element models of viscoelastic materials.

    Computational Modeling of Polymer Composites: A Study of Creep and Environmental Effects delves into both uniaxial and multiaxial cases and delayed failure before discussing the finite element analysis of the nonlinear diffusion process in polymers. It also includes non-Fickean diffusion of polymers, the coupled hygrothermal cohesive layer model for simulating debond growth in bimaterial interfaces, and the viscoelastic cohesive layer model for the prediction of interlaminar shear strength of carbon/epoxy composites. The final chapter covers a multi-scale viscoelastic cohesive layer model for predicting delamination in high temperature polymer composites. This book can be used as a reference or as a graduate course textbook on theory and/or finite element analysis of polymers and polymeric composites.

    General Introduction and Equations of Solid Mechanics


    Vectors and Tensors

    Equations of Solid Mechanics

    Energy Principles of Solid Mechanics

    Chapter Summary


    A Review of the Finite Element Method


    Linear Plane Elasticity Problems

    Finite Element Models of Nonlinear Continua

    Numerical Integration

    Two-Dimensional Finite Elements

    Three-Dimensional Finite Elements

    Chapter Summary


    Finite Element Models of Linear Viscoelastic Materials


    Linear Viscoelastic Formulation

    Finite Element Analysis

    Chapter Summary


    Finite Element Analysis of Diffusion in Polymer and Polymer Matrix Composites


    Modeling of Moisture Diffusion

    Diffusion with Time-Varying Diffusivity

    Chapter Summary


    Modeling of nonlinear viscoelasticity in bulk polymers using the finite element method

    Modeling of coupled nonlinear diffusion with viscoelasticity in bulk polymers using the finite element method

    Modeling of non-Fickian solvent diffusion in a solid with large dilatation

    Coupled nonlinear cohesive layer modeling of time-dependent and environmental effects in three-dimensions

    Progressive failure modeling of degradation due to moisture diffusion

    Progressive failure modeling of degradation due to thermal-oxidation



    Samit Roy has been the William D. Jordan Chair Professor of Aerospace Engineering and Mechanics at University of Alabama, Tuscaloosa, since 2005. Prior to that he was an associate professor at Oklahoma State University (OSU) and the University of MissouriRolla (UMR). Before moving to an academic position, he was a senior research engineer at the Southwest Research Institute (SWRI), San Antonio, Texas. Dr. Roy's research interest is directed toward multiscale modeling and failure prediction of fiber reinforced polymer composites and structural adhesives subjected to aggressive environmental conditions, using the finite element method. He has authored 60 journal papers, 11 book chapters, and more than 80 conference papers.

    J. N. Reddy is a University Distinguished Professor, Regents Professor, and holder of the Oscar S. Wyatt Endowed Chair in the Department of Mechanical Engineering at Texas A&M University, College Station. Dr. Reddy is internationally known for his contributions to theoretical and applied mechanics and computational mechanics. Dr. Reddy is the recipient of numerous awards including the Walter L. Huber Civil Engineering Research Prize of the American Society of Civil Engineers (ASCE) and the Worcester Reed Warner Medal and the Charles Russ Richards Memorial Award of the American Society of Mechanical Engineers (ASME). He is the author of more than 480 journal papers and 18 books.