Structural Analysis of Polymeric Composite Materials, Second Edition
Features
- Emphasizes the macromechanical (structural) level over micromechanical issues and analyses
- Provides a new chapter on stresses near elliptical holes in multi-angle composite laminates induced by an arbitrary combination of in-plane loads
- Discusses crucially important effects of environment in order of relevance, (i.e. effects due to temperature changes and/or moisture content are incorporated into early chapters instead of treated separately in later chapters)
- Includes numerical example problems in each chapter that illustrate the concepts presented
- Introduces materials properties required to predict the structural performance of anisotropic composites
- Develops and combines elements of plate theory with Hooke’s law, resulting in the composite analysis method commonly known as Classical Lamination Theory (CLT)
- Describes composite failure modes and mechanisms, including a qualitative description of composite fatigue behaviors and free-edge effects, and how macroscopic failure criteria may be combined with CLT to predict first-ply and last-ply failure loads and failure envelopes
Updated with new examples, problems, and improved flow, this second edition includes a solutions manual and implementation software upon qualifying course adoption.
Summary
Structural Analysis of Polymeric Composite Materials, Second Edition introduces the mechanics of composite materials and structures and combines classical lamination theory with macromechanical failure principles for prediction and optimization of composite structural performance. It addresses topics such as high-strength fibers, manufacturing techniques, commercially available compounds, and the behavior of anisotropic, orthotropic, and transversely isotropic materials and structures subjected to complex loading.
Emphasizing the macromechanical (structural) level over micromechanical issues and analyses, this unique book integrates effects of environment at the outset to establish a coherent and updated knowledge base. In addition, each chapter includes example problems to illustrate the concepts presented.
Simplifying complicated equations, this book helps engineers to:
- Calculate the stresses near elliptical holes in multi-angle composite laminates induced by an arbitrary combination of in-plane loads—information new to this edition
- Determine the axial stiffness and flexural rigidity of thin-walled composite beams
- Understand the effect of external loading, temperature variation, and moisture on composite materials
- Predict transverse deflections and buckling response of multi-angle composite laminates
- Study failure of multi-angle composite laminates due to monotonic fatigue loadings
- Analyze stress and strains induced by the combined effects of stress, temperature, and moisture
Table of Contents
Introduction
Basic Definitions
Polymeric Materials
Fibrous Materials
Commerically Available Forms
Manufacturing Processes
Scope of This Book
Review of Force, Stress, and Strain Tensors
The Force Vector
Transformation of a Force Vector
Normal Forces, Shear Forces, and Free-Body Diagrams
Definition of Stress
The Stress Tensor
Transformation of the Stress Tensor
Principal Stresses
Plane Stress
Definition of strain
The Strain Tensor
Transformation of the Strain Tensor
Principal Strains
Strains within a Plane Perpendicular to a Principal Strain Direction
Relating Strains to Displacement Fields
Computer Programs 3DROTATE and 2DROTATE
Homework Problems
Material Properties
Material Properties of Anisotropic versus Isotropic Materials
Material Properties That Relate Stress to Strain
Material Properties Relating Temperature to Strain
Material Properties Relating Moisture Content to Strain
Material Properties Relating Stress or Strain to Failure
Predicting Elastic Composite Properties Based on Constituents: The Rule of Mixtures
Homework Problems
Elastic Response of Anisotropic Materials
Strains Induced by Stress: Anisotropic Materials
Strains Induced by Stress: Orthotropic and Transversely Isotropic Materials
Strains Induced by a Change in Temperature or Moisture Content
Strains Induced by Combined Effects of Stress, Temperature, and Moisture
Homework Problems
Unidirectional Composite Laminates Subject to Plane Stress
Unidirectional Composites Referenced to the Principal Material Coordinate System
Unidirectional Composites Referenced to an Arbitrary Coordinate System
Calculating Transformed Properties Using Material Invariants
Effective Elastic Properties of a Unidirectional Composite Laminate
Failure of Unidirectional Composites Referenced to the Principal Material Coordinate System
Failure of Unidirectional Composites Referenced to an Arbitrary Coordinate System
Computer Programs UNIDIR and UNIFAIL
Homework Problems
Thermomechanical Behavior of Multiangle Composite Laminates
Definition of a "Thin Plate" and Allowable Plate Loadings
Plate Deformations: The Kirchhoff Hypothesis
Principal Curvatures
Standard Methods of Describing Composite Laminates
Calculating Ply Strains and Stresses
Classical Lamination Theory
Simplifications Due to Stacking Sequence
Summary of CLT Calculations
Effective Properties of a Composite Laminate
Transformation of the ABD Matrix
Computer Program CLT
Comparing Classical Lamination Theory and Finite- Element Analyses
Free Edge Stresses
Homework Problems
Predicting Failure of a Multiangle Composite Laminate
Preliminary Discussion
Estimating Laminate Failure Strengths Using CLT
First-Ply Failure Envelopes
Computer Programs LAMFAIL and PROGDAM
Homework Problems
Composite Beams
Preliminary Discussion
Comparing Classical Lamination Theory to Isotropic Beam Theory
Types of Composite Beams Considered
Effective Axial Rigidity of Rectangular Composite Beams
Effective Flexural Rigidities of Rectangular Composite Beams
Effective Axial and Flexural Rigidities for Thin-Walled Composite Beams
Statically Determinate and Indeterminate Axially Loaded Composite Beams
Statically Determinate and Indeterminate Transversely Loaded Composite Beams
Computer Program BEAM
Homework Problems
Stress Concentrations Near an Elliptical Hole
Preliminary Discussion
Summary of the Savin Solution for an Anisotropic Plate with Elliptical Hole
Circular Holes in Unidirectional Laminates
Elliptical Holes with an Aspect Ratio of Three in Unidirectional Laminates
Circular Holes in Multiangle Laminates
Computer Program HOLES
Homework Problems
The Governing Equations of Thin-Plate Theory
Preliminary Discussion
The Equations of Equilibrium for Symmetric Laminates
Boundary Conditions
Representing Arbitrary Transverse Loads as a Fourier Series
Some Exact Solutions for Specially Orthotropic Laminates
Equations of Equilibrium for a Specially Orthotropic Laminate
In-Plane Displacement Fields in Specially Orthotropic Laminates
Specially Orthotropic Laminates Subject to Simple Supports of Type S1
Specially Orthotropic Laminates Subject to Simple Supports of Type S4
Specially Orthotropic Laminates with Two Simply Supported Edges of Type S1 and Two Edges of Type S2
The Navier Solution Applied to a Specially Orthotropic Laminate Subject to Simple Supports of Type S4
Buckling of Rectangular Specially Orthotropic Laminates Subject to Simple Supports of Type S4
Thermal Buckling of Rectangular Specially Orthotropic Laminates Subject to Simple Supports of Type S1
Computer Program SPORTHO
Some Approximate Solutions for Symmetric Laminates
Preliminary Discussion
In-Plane Displacement Fields
Potential Energy in a Thin Composite Plate
Symmetric Composite Laminates Subject to Simple Supports of Type S4
Buckling of Symmetric Composite Plates Subject to Simple Supports of Type S4
Computer Program SYMM
Appendix A: Experimental Methods Used to Measure In-Plane Elastic Properties
Appendix B: Tables of Beam Deflections and Slopes
Index
Editorial Reviews
Praise for the First Edition
"This book is characterized by pedagogical features, which facilitate understanding of the exposed subjects. The author provides a wide variety of numerical analyses and examples throughout each chapter and details on the use of easily accessible computer programs … as solutions to the problems presented in the text. … [A] good reference for undergraduate and postgraduate students, but also for the industrials in the area of polymeric composites."
— Cellulose Chemistry and Technology, May-August, 2005
