Analysis and Mechanics

Fourth International Conference on Fracture June 1977 University of Waterloo, Canada

1st Edition - January 1, 1978

Editor: D.M.R. Taplin

eBook ISBN:

9 7 8 - 1 - 4 8 3 2 - 7 9 6 1 - 9

Analysis and Mechanics contains the proceedings of the Fourth International Conference on Fracture held at the University of Waterloo in Canada in June 1977. The conference… Read more

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Analysis and Mechanics contains the proceedings of the Fourth International Conference on Fracture held at the University of Waterloo in Canada in June 1977. The conference provided a forum for discussing fracture mechanics and analysis involving a wide variety of materials, particularly large structures. Topics covered range from crack growth to dynamic processes and stress intensity factors, along with fracture in nonlinear systems. Comprised of 64 chapters, this volume begins by describing a numerical approach for modeling stable crack growth and fracture criteria. The reader is then introduced to the continuum theory of dislocations and its application to fracture mechanics; initiation of crack propagation in ductile structures; and finite element analysis of an impact test. Subsequent chapters focus on stress and crack-displacement intensity factors in elastodynamics; plastic fracture analysis of a cracked cylinder under displacement controlled loading; energy considerations in dynamic crack propagation and arrest; and the use of the J integral to measure the resistance of mild steel to slow stable crack growth. This book will be of interest to mechanical and structural engineers.

Foreword

Preface

Acknowledgements

Committees

Nomenclature

Conversion Units

Part V. Analysis and Mechanics

Session 1 — Crack Growth

1 "A Numerical Approach for Stable Crack Growth and Fracture Criteria"

2 "On the Application of CTD to Fracture Mechanics"

3 "Determination of Crack Growth in a Mixed Mode Loading System"

4 "A Contribution to the Analysis of Quasi Static Crack Growth in Sheet Materials"

5 "Self-Similar Pressure Profiles in the Symmetrically Extending Plane Crack"

6 "A Crack Growth Gage for Assessing Flaw Growth Potential in Structural Components"

7 "Crack Propagation Initiation in Ductile Structures"

8 "Initial Stages of Crack Extension in Time-Dependent and/or Ductile Solids"

9 "On Constitutive Properties at Singular Crack Borders"

10 "The Concept of Material Divagation and its Application to Fracture"

Session 2 - Dynamic Processes and Stress Intensity Factors

1 "Sudden Twisting of a Penny-Shaped Crack in a Finite Elastic Cylinder"

2 "Dynamic Finite Element and Dynamic Photo-Elastic Analyses of an Impacted Pretensioned Plate"

3 "A Finite-Element Analysis of an Impact Test"

4 "Stress and Crack-Displacement Intensity Factors in Elastodynamics"

5 "Elastodynamic Effect on Crack Branching"

6 "Crack-Tip Stress Analysis from Field Values of the Displacements Using Complementary Energy"

7 "Analytical Determination of Stress Intensity Factors of Eccentric Cracks by Variational Method"

8 "A Finite Element Analysis for Determining Dugdale Model Solutions of Cracked Bodies"

9 "Analysis for the Problem of Misfitting Inclusion and Circular Arc Cracks in a Sheet"

10 "Green's Function for a Thru-Crack Emanating from Fastener Holes"

Session 3 - Fracture Analysis

1 "Plastic Fracture Analysis of a Cracked Cylinder Under Displacement Controlled Loading"

2 "The Evaluation of the Resistance Against Ductile Crack Extension"

3 "A Description of the Dependence of Fracture Resistance on Cracklength"

4 "The Stress Intensity Factors for X-Formed Arrays of Cracks"

5 "Modified Westergaard Equations"

6 "An Equivalent Inclusion Method for a Three-Dimensional Lens-Shaped Crack in Anisotropic Media"

7 "Stress Intensity at the Tips of Kinked and Forked Cracks"

8 "Analysis of Branched Cracks Under Biaxial Stresses"

9 "A Simple Analytical Model for the Thickness Dependent Transition from Plane Stress to Plane Strain in Bodies with a Crack"

10 "Energy Considerations of Dynamic Crack Propagation and Arrest"

11 "The Fracture Mechanism of Materials Having a Heterogeneous Structure"

Session 4 - J Integral and COD

1 "The Effect of Load Biaxiality on the Fracture Toughness Parameters J and G"

2 "Use of Calculation of J Integral"

3 "A Path Independent Integral for Symmetric Stress Diffusion Fields Surrounding Line Cracks"

4 "Specimen Size Effects on J-Integral Fracture Toughness"

5 "The J-Integral Evaluation for CT Specimen"

6 "The Use of the J Integral to Measure the Resistance of Mild Steel to Slow Stable Crack Growth"

7 "The Effect of Geometry on Crack Formation"

8 "The K-COD Relationship for Pin Loaded Single Edge Notched Tension Specimens"

9 "The Relation Between Crack Opening Displacement and Flow Stress"

10 "An Experimental and FEM Study on Crack Opening Displacement"

11 "Studies of Crack Tips in Steel and Aluminium Alloys"

12 "Measurement of Stretch Zone Width and δi in a Low Alloy Naval Steel"

13 "Blunting Effects on Fracture Toughness of Low Strength Steels"

Session 5 — Non-Planar and 3 Dimensional

1 "Variational Bounds and Qualitative Methods in Fracture Mechanics"

2 "An Approximate Three-Dimensional State of Stress in the Vicinity of a Crack"

3 "On the Three Dimensional Theories of Cracked Plates"

4 "General Numerical Method for Three-Dimensional Singularities in Cracked or Notched Elastic Solids"

5 "Nonlinear Lattice Theory of Fracture"

6 "On Energy Release Rates in Axisymmetric Problems"

7 "Statistical Consideration of Inhomogeneity of Mechanical Properties of Materials"

8 "Stability Consideration in the Generalized Three Dimensional Work of Fracture Specimen"

Session 6 — Non-Linear

1 "Assessment of Failures Beyond the Linear Elastic Regime"

2 "Contact Problems in Fracture Mechanics"

3 "Unstable Fracture Criteria Under Large Plastic Deformation"

4 "On the Application of Continuum Theory of Dislocations to the Mechanical Behaviour of Multi-Phase Materials"

5 "Stress Analysis of Cracks in the Elasto-Plastic Range"

6 "Fracture Mechanics of Viscoelastic Systems"

7 "Finite Element Analysis of Crack Problems in Highly Elastic Materials"

8 "A Finite Element Method Analysis of an Elastic-Plastic Solid Containing Holes in the Vicinity of a Crack Tip"

9 "Finite Element Analysis of Crack Propagation Under Compression"

10 "On Virtual Crack Extension Methods for Combined Tensile and Shear Loading"

11 "A Finite Element Analysis of a Circumferentially Notched Tensile Specimen"

12 "A Transient Finite Element Analysis of Unstable Crack Propagation in Some 2-Dimensional Geometries"

Author Index