Local damage evolution of double cantilever beam specimens during crack initiation process: A natural boundary condition based method

Journal of Applied Mechanics, Transactions ASME

Volumn 76, Issue 5, 2009, Pages 1-8

  Ouyang, Zhenyu ^a   Li, Guoqiang ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Analytical solution; Bonded joint; Crack initiation; CZM; FRP; Local damage

Indexed keywords

ADHESIVELY BONDED JOINTS; ANALYTICAL APPROACH; ANALYTICAL SOLUTIONS; BONDED JOINT; CHARACTERISTIC LENGTH; COHESIVE LAWS; COHESIVE STRENGTH; COHESIVE ZONE MODEL; CRACK INITIATION AND PROPAGATION; CRACK LENGTH; CURRENT MODELS; DAMAGE DISTRIBUTION; DEBONDING PROCESS; DOUBLE CANTILEVER BEAM; FINITE ELEMENT ANALYSIS; GEOMETRIC CONSTRAINT; INTERFACIAL STRESS; LOCAL DAMAGE; LOCAL DEFORMATIONS; NATURAL BOUNDARY CONDITION; NON-LINEAR RESPONSE;

ADHESIVE JOINTS; BOUNDARY CONDITIONS; CANTILEVER BEAMS; CERAMIC MATERIALS; CRACK INITIATION; CRACK TIPS; DEBONDING; DEFORMATION; STRESS CONCENTRATION; STRESS CORROSION CRACKING;

FINITE ELEMENT METHOD;

EID: 77955260311     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3112742     Document Type: Article

References (23)

1. Atkinson, C., 1979, "Stress Singularities and Fracture Mechanics," Appl. Mech. Rev., 32(2), pp. 123-135.
2. Barenblatt, G. I., 1959, "The Formation of Equilibrium Cracks During Brittle Fracture. General Ideas and Hypothesis. Axisymmetrical Cracks," J. Appl. Math. Mech. (PMM), 23, pp. 622-636.
3. Dugdale, D. S., 1960, "Yielding of Steel Sheets Containing Slits," J. Mech. Phys. Solids, 8, pp. 100-104.
4. Rose, J. H., Smith, J. R., and Ferrante, J., 1983, "Universal Features of Bonding in Metals," Phys. Rev. B, 28, pp. 1835-1845.
5. Needleman, A., 1987, "A Continuum Model for Void Nucleation by Inclusion Debonding," ASME J. Appl. Mech., 54, pp. 525-531.
6. Needleman, A., 1990, "An Analysis of Tensile Decohesion Along an Interface," J. Mech. Phys. Solids, 38, pp. 289-324.
7. Tvergaard, V., 1990, "Effect of Fibre Debonding in a Whisker-Reinforced Metal," Mater. Sci. Eng., A, 125, pp. 203-213.
8. Tvergaard, V., and Hutchinson, J. W., 1992, "The Relation Between Crack Growth Resistance and Fracture Process Parameters in Elastic-Plastic Solids," J. Mech. Phys. Solids, 40, pp. 1377-1397.
9. Xu, X. P., and Needleman, A., 1993, "Void Nucleation by Inclusion Debonding in a Crystal Matrix," Modell. Simul. Mater. Sci. Eng., 1, pp. 111-132.
10. Camacho, G. T., and Ortiz, M., 1996, "Computational Modeling of Impact Damage in Brittle Materials," Int. J. Solids Struct., 33, pp. 2899-2938.
11. Hillerborg, A., Modeer, M., and Petersson, P. E., 1976, "Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements," Cem. Concr. Res., 6, pp. 773-782.
12. Geubelle, P. H., and Baylor, J., 1998, "The Impact-Induced Delamination of Laminated Composites: A 2D Simulation," Composites, Part B, 29, pp. 589- 602.
13. Hutchinson, J. W., and Evans, A. G., 2000, "Mechanics of Materials: Topdown Approaches to Fracture," Acta Mater., 48, pp. 125-135.
14. Kanninen, M. F., 1973, "An Augmented Double Cantilever Beam Model for Studying Crack Propagated and Arrest," Int. J. Fract., 9, pp. 83-92.
15. Williams, J. G., 1989, "End Correction for Orthotropic DCB Specimen," Compos. Sci. Technol., 35, pp. 367-376.
16. Kinloch, A. J., Lau, C. C., and Williams, J. G., 1994, "The Peeling of Flexible Laminates," Int. J. Fract., 66, pp. 45-70.
17. Williams, J. G., and Hadavinia, H., 2002, "Analytical Solutions for Cohesive Zone Models," J. Mech. Phys. Solids, 50, pp. 809-825.
18. Olsson, P., and Stigh, U., 1989, "On the Determination of the Constitutive Properties of Thin Interphase Layers-An Exact Inverse Solution," Int. J. Fract., 41, pp. R71-R76.
19. Andersson, T., and Stigh, U., 2004, "The Stress-Elongation Relation for an Adhesive Layer Loaded in Peel Using Equilibrium of Energetic Forces," Int. J. Solids Struct., 41, pp. 413-434.
20. Rice, J. R., 1968, "Stresses Due to a Sharp Notch in a Work-Hardening Elastic-Plastic Material Loaded by Longitudinal Shear," ASME J. Appl. Mech., 35, pp. 379-386.
21. Andersson, T., and Biel, A., 2006, "On the Effective Constitutive Properties of a Thin Adhesive Layer Loaded in Peel," Int. J. Fract., 141, pp. 227-246.
22. Blackman, B. R. K., Hadavinia, H., Kinloch, A. J., and Williams, J. G., 2003, "The Use of a Cohesive Zone Model to Study the Fracture of Fibre Composites and Adhesively-Bonded Joints," Int. J. Fract., 119, pp. 25-46.
23. Eshelby, J. D., 1951, "The Force on an Elastic Singularity," Philos. Trans. R. Soc. London, Ser. A, 244, pp. 87-112.