Analysis of Failure in Fiber Polymer Laminates : The Theory of Alfred Puck

The Theory of Alfred Puck

By: Martin Knops

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Hardcover | 1 April 2008

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220 Pages

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Fiber Reinforced Plastics (FRP) are widely used for the design of load-bearing structures. Life time prediction based on failure analysis is therefore essential for many applications in Aeronautics, Automotive and Civil Engineering. Analysis of Failure in Fiber Polymer Laminates presents Alfred Puck?s failure model, which, among several other theories, predicts fracture limits best and describes the failure phenomena in FRP most realistically - as confirmed within the "World-wide Failure Exercise". Using Puck?s model the composite engineer can follow the gradual failure process in a laminate and deduce from the results of the analysis how to improve the laminate design. This capability distinguishes the model from other phenomenological and global models. It thus reduces the number of required component tests and iteration loops in the design process and paves the way to sorely needed software for crash-simulation of FRP-structures.

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Non-Fiction Engineering & Technology Mechanical Engineering & Materials Mechanical Engineering Technology in General Technical Design Industrial Chemistry & Manufacturing Technologies Industrial Chemistry Ceramics & Glass Technology Materials Science Mechanics of Solids

Introduction	p. 1
Failure of laminates	p. 5
Laminate structure	p. 5
Micro-cracks	p. 6
Inter Fiber Fracture (IFF)	p. 7
Different forms of Inter Fiber Fracture (IFF)	p. 10
Relevance of IFF	p. 13
Delamination	p. 14
Fiber Fracture (FF)	p. 16
Laminate Failure	p. 18
Summary of chapter	p. 19
Stress and strength analysis: Basics and definitions	p. 21
Coordinate Systems, Stresses and stressings	p. 21
Natural coordinate system of the UD-lamina	p. 21
Coordinate system of the laminate	p. 22
Stresses of the UD-lamina	p. 22
Stressings of a UD-element	p. 23
Stresses on the fracture plane, adapted coordinate system	p. 24
Coordinate system for the visualization of fracture bodies	p. 25
Stress analysis	p. 27
Strength analysis	p. 28
Introduction	p. 28
Fracture condition, fracture criterion and the term "stress exposure"	p. 28
Distinguishing residual and load determined stresses	p. 32
Margin of safety and reserve factor of the Composite materials structure	p. 33
Summary of chapter	p. 34
Puck's action plane fracture criteria	p. 37
Fiber fracture criteria	p. 37
Inter fiber fracture (IFF) criteria	p. 40
Motivation	p. 40
Different IFF-fracture modes	p. 43
Fracture hypotheses	p. 44
Fracture resistance of the action plane	p. 46
Visualization of the stress/strength problem	p. 51
Universal 3-D-formulation of the action plane related IFF-criteria	p. 65
Analytical 2-D-formulation for plane states of stress	p. 79
Extensions to the IFF-criteria	p. 83
Inclusion of stresses not acting on the fracture plane in the action-plane-related inter-fiber fracture criteria	p. 83
Calculation of the Stretch factor <$>f_S^L<$> of the load-determined stresses when residual stresses are present	p. 97
Visualization of fracture bodies	p. 108
Summary of chapter	p. 114
Analysis of the gradual failure process	p. 117
Approaches for the modeling of the gradual failure process	p. 119
Puck's approach for the analysis of the gradual failure process	p. 121
Degradation procedure for cracks due to IFF^{Mode A}	p. 122
Degradation procedure for cracks due to IFF^{Mode B} and IFF^{Mode C}	p. 123
Puck's method from 1969	p. 125
Degradation method used in the "World Wide Failure Exercise"	p. 128
New degradation method (2007)	p. 128
Laminates with unsound loading conditions	p. 129
Implementation of the Puck theory for the gradual failure process in a Software code	p. 130
Summary of chapter	p. 133
Experimental work	p. 137
Verification of the fracture hypotheses and calibration of the fracture body	p. 137
Experiments with Three Dimensional Stress States	p. 137
Experiments with plane (¿₂, ¿₂₁)-stress combinations	p. 143
Experimental determination of degradation curves	p. 150
Degradation of E_⊥^t and G_⊥‖ for fracture Mode A	p. 151
Degradation of E_⊥ and G_⊥‖ for fracture Mode B	p. 156
Degradation of ¿_⊥‖ and ¿_‖⊥	p. 157
Validation of degradation curves	p. 159
Summary of chapter	p. 167
Implementation in Software	p. 171
Application of Puck's work in industrial practice	p. 175
Concluding remarks	p. 177
Annex	p. 179
References	p. 197
Index	p. 203
Table of Contents provided by Publisher. All Rights Reserved.

Analysis of Failure in Fiber Polymer Laminates : The Theory of Alfred Puck

The Theory of Alfred Puck

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Hardcover

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