Mechanics of solid polymers : theory and computational modeling

✍ Scribed by Jorgen S Bergstrom

• Publisher: William Andrew is an imprint of Elsevier
• Year: 2015
• Tongue: English
• Leaves: 524
• Edition: First edition
• Category: Library

✦ Synopsis

Very few polymer mechanics problems are solved with only pen and paper today, and virtually all academic research and industrial work relies heavily on finite element simulations and specialized computer software. Introducing and demonstrating the utility of computational tools and simulations, Mechanics of Solid Polymers provides a modern view of how solid polymers behave, how they can be experimentally characterized, and how to predict their behavior in different load environments.

Reflecting the significant progress made in the understanding of polymer behaviour over the last two decades, this book will discuss recent developments and compare them to classical theories. The book shows how best to make use of commercially available finite element software to solve polymer mechanics problems, introducing readers to the current state of the art in predicting failure using a combination of experiment and computational techniques. Case studies and example Matlab code are also included.

As industry and academia are increasingly reliant on advanced computational mechanics software to implement sophisticated constitutive models - and authoritative information is hard to find in one place - this book provides engineers with what they need to know to make best use of the technology available.

• Helps professionals deploy the latest experimental polymer testing methods to assess suitability for applications
• Discusses material models for different polymer types
• Shows how to best make use of available finite element software to model polymer behaviour, and includes case studies and example code to help engineers and researchers apply it to their work

✦ Table of Contents

Content: Front Cover
Mechanics of Solid Polymers: Theory and Computational Modeling
Copyright
Contents
Preface
Chapter 1: Introduction and Overview
1.1 Introduction
1.2 What Is a Polymer?
1.3 Types of Polymers
1.4 History of Polymers
1.5 Polymer Manufacturing and Processing
1.6 Polymer Mechanics
1.7 Exercises
References
Chapter 2: Experimental Characterization Techniques
2.1 Introduction
2.2 Mechanical Testing for Material Model Calibration
2.2.1 Uniaxial Compression Testing
2.2.2 Uniaxial Tension Testing
2.2.3 Plane Strain Tension
2.2.4 Simple Shear Testing
2.2.5 Impact Testing 2.2.6 Dynamic Mechanical Analysis2.2.7 Hardness and Indentation Testing
Rockwell Hardness Testing
Shore (Durometer) Testing
Barcol Hardness Testing
Nanoindentation
2.2.8 Split-Hopkinson Pressure Bar Testing
2.2.9 Bulk Modulus Testing
2.2.10 Other Common Mechanical Testing Modes
2.2.11 Testing for Failure Model Calibration
2.3 Mechanical Testing for Material Model Validation
2.3.1 Material Model Verification and Validation
2.3.2 Small Punch Testing
2.3.3 V-Notch Shear Testing
2.4 Surface Characterization Techniques
2.4.1 Optical Microscopy
2.4.2 Scanning Electron Microscopy 2.4.3 Atomic Force Microscopy2.5 Volume Characterization Techniques
2.5.1 Differential Scanning Calorimetry
2.5.2 Transmission Electron Microscopy
2.5.3 X-Ray Diffraction
Wide-Angle X-Ray Diffraction
Small-Angle X-Ray Diffraction
2.5.4 Birefringence
2.5.5 Swell Testing
2.6 Chemical Characterization Techniques
2.6.1 Fourier Transform Infrared Spectroscopy
2.6.2 Energy Dispersive Spectroscopy
2.6.3 Size-Exclusion Chromatography
2.6.4 Thermogravimetric Analysis
2.6.5 Raman Spectroscopy
2.7 Exercises
References
Chapter 3: Finite Element Analysis as an Engineering Tool 3.1 Introduction3.1.1 Required Inputs for FEA
3.2 Types of FEA
3.3 Review of Modeling Techniques
3.3.1 Deformation Modeling
3.3.2 Failure Modeling
3.4 Exercises
References
Chapter 4: Continuum Mechanics Foundations
4.1 Introduction
4.2 Classical Definitions of Stress and Strain
4.2.1 Uniaxial Loading
4.2.2 Multiaxial Loading
4.3 Large Strain Kinematics
4.4 Vector and Tensor Algebra
4.4.1 Vector Operations
4.4.2 The Dyadic Product
4.4.3 Tensor Operations
4.4.4 Derivatives of Scalar, Vector, and Tensor Fields
4.4.5 Coordinate Transformations
4.4.6 Invariants 4.5 Deformation Gradient4.5.1 Eigenvalue and Spectral Decompositions
4.6 Strain, Stretch, and Rotation
4.7 Rates of Deformation
4.8 Stress Tensors
4.8.1 Stress Invariants
4.9 Balance Laws and Field Equations
4.9.1 Conservation of Mass
4.9.2 Balance of Linear Momentum
4.9.3 Balance of Angular Momentum
4.9.4 First Law of Thermodynamics
4.9.5 Second Law of Thermodynamics
4.10 Energy Balance and Stress Power
4.11 Constitutive Equations
4.11.1 Constitutive Equations for a Thermoelastic Material
4.12 Observer Transformation
4.12.1 Objective Rates
4.13 Material Symmetry