TMM4175 Polymer Composites

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Table of Contents

1 Composite materials

• Introduction and overview
• Definitions and classification
• Fibers
• Polymer matrix materials
• Geometrical aspects and volume fractions
• Material properties
• Questions and problems

2 Mechanics of materials

• Introduction and overview
• Stress
• Strain
• Hooke's law
• Thermal expansion
• Transformations
• Micro-mechanical models
• Viscoelastic behavior
• Plastic behavior
• Questions and problems

3 Strength and failure theories

• Introduction and overview
• Basic strength parameters
• Principles of failure prediction
• Maximum stress criterion
• Maximum strain criterion
• Tsai-Wu criterion
• Hashin criterion
• Comparing failure criteria
• Questions and problems

4 Laminates and laminate theory

• Introduction and overview
• Definitions and notation
• Assumptions for the laminate theory
• Plane stress
• Plane stress failure theories
• Laminate deformation
• Laminate loads and constitutive relations
• Thermal effects
• Computational procedures
• Features of the laminate stiffness matrix
• Layer results
• Effective properties
• Thick laminates and sandwich structures
• Progressive damage analysis
• Interlaminar failure
• Fatigue
• Laminate optimization
• Questions and problems

5 Finite element analysis

• Introduction and overview
• Material models for composites
• Material orientation
• Elements
• Layered structures
• Shell elements and laminate theory
• Questions and problems

6 Test methods

• Introduction and overview
• Tensile testing
• Compression testing
• Shear testing
• Biaxial testing
• Flexural testing
• Interlaminar fracture mechanical testing
• Questions and problems

7 Manufacturing

• Introduction and overview
• Questions and problems

8 Engineering and reliability

• Introduction and overview
• Material variability and characteristic strength
• Relevant standards and guidelines
• Questions and problems

9 Case studies

• Introduction and overview
• Fiber diameter distribution
• Linear displacement field
• Principal stresses and transformation
• General transformation
• Transformation by substitution of axes
• Orientation and transformation of solid elements
• On transverse isotropy
• Micromechanical finite element models
• Elastic properties of woven plies
• Elastic properties of CSM
• Thin-walled pipes
• Light-weight drive shaft
• Elastic degradation of laminates
• Free edge effects of laminates
• Compression testing of UD composites
• Static FEA of a layered cantilever beam
• FEA of a sandwich beam
• Laminate optimization of in-plane load cases

Miscellaneous

• Material library
• Plot gallery
• Abaqus scripts

Disclaimer:This site is about polymer composites, designed for educational purposes. Consumption and use of any sort & kind is solely at your own risk.
Fair use: I spent some time making all the pages, and even the figures and illustrations are my own creations. Obviously, you may steal whatever you find useful here, but please show decency and give some acknowledgment if or when copying. Thanks! Contact me: nils.p.vedvik@ntnu.no www.ntnu.edu/employees/nils.p.vedvik

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