A critical distance study of stress concentrations in bone

Journal of Biomechanics

Volumn 41, Issue 3, 2008, Pages 603-609

  Kasiri, Saeid ^a   Taylor, David ^a  

^a TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

Bone; Critical distance; Fracture; Stress concentration

Indexed keywords

FAILURE ANALYSIS; FINITE ELEMENT METHOD; FRACTURE MECHANICS; STRESS CONCENTRATION; TORSIONAL STRESS;

MATERIAL CONSTANTS; THEORY OF CRITICAL DISTANCES (TCD);

BONE;

ANIMAL TISSUE; ARTICLE; BONE STRESS; CONCENTRATION (PARAMETERS); CONTROLLED STUDY; COW; DOG; ELASTICITY; FEMUR; FINITE ELEMENT ANALYSIS; FRACTURE; NONHUMAN; PLASTICITY; PRIORITY JOURNAL; SHEEP; TENSILE STRENGTH; TENSION; TIBIA; TORSION;

ANIMALS; CATTLE; FEMORAL FRACTURES; FEMUR; FINITE ELEMENT ANALYSIS; HUMANS; MODELS, BIOLOGICAL; STRESS, MECHANICAL; TENSILE STRENGTH; TIBIA; TORSION, MECHANICAL;

EID: 38849090681     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2007.10.003     Document Type: Article

References (38)

1. Awerbuch J., and Madhukar M.S. Notched strength of composite laminates: predictions and experiments: a review. Journal of Reinforced Plastics and Composites 4 (1985) 3-159
2. Behiri J.C., and Bonfield W. Crack velocity dependence of longitudinal fracture in bone. Journal of Materials Science V15 (1980) 1841-1849
3. Behiri J.C., and Bonfield W. Fracture mechanics of bone: the effects of density, specimen thickness and crack velocity on longitudinal fracture. Journal of Biomechanics 17 (1984) 25-34
4. Behiri J.C., and Bonfield W. Orientation dependence of the fracture mechanics of cortical bone. Journal of Biomechanics 22 (1989) 863-867
5. Bonfield W. Advances in the fracture mechanics of cortical bone. Journal of Biomechanics 20 (1987) 1071-1081
6. Bonfield W., and Datta P.K. Fracture toughness of compact bone. Journal of Biomechanics 9 (1976) 131-132
7. Bonfield W., and Li C.H. Deformation and fracture of bone. Journal of Applied Physics 37 (1966) 869-875
8. Brooks D.B., Burstein A.H., and Frankel V.H. The biomechanics of torsional fractures: the stress concentration effect of a drill hole. The Journal of Bone and Joint Surgery American Volume 52A (1970) 507-514
9. Burchardt H., Busbee G.A., and Enneking W.F. Repair of experimental autologous grafts of cortical bone. The Journal of Bone and Joint Surgery American Volume 57A (1975) 814-819
10. Clark C.R., Morgan C., Sonstegard D.A., and Matthews L.S. The effect of biopsy-hole shape and size on bone strength. The Journal of Bone and Joint Surgery American Volume 59 (1977) 213-217
11. Currey J.D. Stress concentrations in bone. Quarterly Journal of Microscopical Sciences 3-103 (1962) 111-133
12. Edgerton, B.C., Morrey, B.F., An, K.N., 1987. Cortical defects in bone: a new torsional model and a critical analysis of the stress riser and open section effects under torsional load series, cortical defects in bone: a new torsional model and a critical analysis of the stress riser and open section effects under torsional load Biomechanics Laboratory, Mayo clinic, Rochester, Minnesota.
13. Edgerton B.C., An K.N., and Morrey B.F. Torsional strength reduction due to cortical defects in bone. Journal of Orthopaedic Research 8 (1990) 851-855
14. Hipp J.A., Edgerton B.C., An K.N., and Hayes W.C. Structural consequences of transcortical holes in long bones loaded in torsion. Journal of Biomechanics 23 (1990) 1261-1268
15. Laurence M., Freeman M.A.R., and Swanson S.A.V. Engineering considerations in the internal fixation of fractures of the tibial shaft. The Journal of Bone and Joint Surgery British Volume 51-B (1969) 754-768
16. Lucksanasombool P., Higgs W.A.J., Higgs R.J.E.D., and Swain M.V. Fracture toughness of bovine bone: influence of orientation and storage media. Biomaterials 22 (2001) 3127-3132
17. Malik C.L., Stover S.M., Martin R.B., and Gibeling J.C. Equine cortical bone exhibits rising r-curve fracture mechanics. Journal of Biomechanics 36 (2003) 191-198
18. McBroom R.J., Cheal E.J., and Hayes W.C. Strength reductions from metastatic cortical defects in long bones. Journal of Orthopaedic Research 6 (1988) 369-378
19. Moholkar K., Taylor D., O'Reagan M., and Fenelon G. A biomechanical analysis of four different methods of harvesting bone-patellar tendon-bone graft in porcine knees. The Journal of Bone and Joint Surgery American Volume 84 (2002) 1782-1787
20. Moyle D.D., and Gavens A.J. Fracture properties of bovine tibial bone. Journal of Biomechanics 19 (1986) 919-927
21. Nalla R.K., Kinney J.H., and Ritchie R.O. Mechanistic fracture criteria for the failure of human cortical bone. Nature Materials 2 (2003) 164-168
22. Norman T.L., Vashishth D., and Burr D.B. Fracture toughness of human bone under tension. Journal of Biomechanics 28 (1995) 309-320
23. Peterson R.E. Notch-sensitivity. In: Sines G., and Waisman J.L. (Eds). Metal Fatigue (1959), McGraw Hill, New York 293-306 Chapter 13
24. Peterson D.L., Skraba J.S., Moran J.M., and Greenwald A.S. Fracture of long bone: rate effects under singular and combined loading states. Journal of Orthopaedic Research 1 (1984) 244-250
25. Robertson D.M., Robertson D., and Barrett C.R. Fracture toughness, critical crack length and plastic zone size in bone. Journal of Biomechanics 11 (1978) 359-364
26. Seweryn A., and Lukaszewicz A. Verification of brittle fracture criteria for elements with v-shaped notches. Engineering Fracture Mechanics 69 (2002) 1487-1510
27. Taylor D. Geometrical effects in fatigue: a unifying theoretical model. International Journal of Fatigue 21 (1999) 413-420
28. Taylor D. A mechanistic approach to critical-distance methods in notch fatigue. Fatigue & Fracture of Engineering Materials and Structures 24 (2001) 215-224
29. Taylor D. Predicting the fracture strength of ceramic materials using the theory of critical distances. Engineering Fracture Mechanics 71 (2004) 2407-2416
30. Taylor D. The Theory of Critical Distances (2007), Elsevier Science
31. Taylor D., Bologna P., and Bel Knani K. Prediction of fatigue failure location on a component using a critical distance method. International Journal of Fatigue 22 (2000) 735-742
32. Taylor D., Merlo M., Pegley R., and Cavatorta M.P. The effect of stress concentrations on the fracture strength of polymethylmethacrylate. Materials Science and Engineering A 382 (2004) 288-294
33. Van Buskirk W.C., Cowin S.C., and Ward R.N. Ultrasonic measurement of orthotropic elastic constants of bovine femoral bone. Journal of Biomechanical Engineering 103 (1981) 67-72
34. Vashishth D., Behiri J.C., and Bonfield W. Crack growth resistance in cortical bone: concept of microcrack toughening. Journal of Biomechanics 30 (1997) 763-769
35. Whitney J.M., and Nuismer R.J. Stress fracture criteria for laminated composites containing stress-concentrations. Journal of Composite Materials 8 (1974) 253-265
36. Yan J., Clifton K.B., Mecholsky J.J., and Reep R.L. Fracture toughness of manatee rib and bovine femur using a chevron-notched beam test. Journal of Biomechanics 39 (2006) 1066-1074
37. Yang Q.D., Cox B.N., Nalla R.K., and Ritchie R.O. Fracture length scales in human cortical bone: the necessity of nonlinear fracture models. Biomaterials 27 (2006) 2095-2113
38. Zioupos P., Currey J.D., Mirza M.S., and Barton D.C. Experimentally determined microcracking around a circular hole in a flat plate of bone: comparison with predicted stresses. Philosophical Transactions: Biological Sciences 347 (1995) 383-396