Effect of a single soft interlayer on the crack driving force

Engineering Fracture Mechanics

Volumn 130, Issue , 2014, Pages 21-41

  Sistaninia, M ^a,b   Kolednik, O ^a  

^a ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

^b MATERIALS CENTER LEOBEN FORSCHUNG GMBH   (Austria)

Author keywords

Configurational forces; Crack driving force; Crack tip plastic zone; Finite element method; Fracture toughness

Indexed keywords

FRACTURE TOUGHNESS;

CONFIGURATIONAL FORCE; CRACK DRIVING FORCE; CRACK TIP PLASTIC ZONE; SOFT INTERLAYER;

FINITE ELEMENT METHOD;

EID: 84908240776     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2014.02.026     Document Type: Article

References (63)

1. Liu H., Lawn B.R., Hsu S.M. Hertzian contact response of tailored silicon nitride multilayers. J Am Ceram Soc 1996, 79:1009-1014.
2. 2 multilayered system. J Eur Ceram Soc 2007, 27:1443-1448.
3. Sglavo V.M., Bertoldi M. Design and production of ceramic laminates with high mechanical resistance and reliability. Acta Mater 2006, 54:4929-4937.
4. Cook J., Gordon J.E. A mechanism for the control of crack propagation in all-brittle systems. Proc Roy Soc Lond Math Phys Sci 1964, 282:508-520.
5. Embury J.D., Petch N.J., Wraith A.E., Wright E.S. The fracture of mild steel laminates. Trans Metall Soc AIME 1967, 239:114-118.
6. Fratzl P., Gupta H.S., Fischer F.D., Kolednik O. Hindered crack propagation in materials with periodically varying Young's modulus - lessons from biological materials. Adv Mater 2007, 19:2657-2661.
7. Kolednik O., Predan J., Fischer F.D., Fratzl P. Bioinspired design criteria for damage-resistant materials with periodically varying microstructure. Adv Funct Mater 2011, 21:3634-3641.
8. Lesuer D.R., Syn C.K., Sherby O.D., Wadsworth J., Lewandowski J.J., Hunt W.H. Mechanical behaviour of laminated metal composites. Int Mater Rev 1996, 41:169-197.
9. Suresh S., Sugimura Y., Ogawa T. Fatigue cracking in materials with brittle surface coatings. Scr Metall Mater 1993, 29:237-242.
10. Tariolle S., Thévenot F., Chartier T., Besson J.L. Properties of reinforced boron carbide laminar composites. J Eur Ceram Soc 2005, 25:3639-3647.
11. Taylor L.G., Ryder D.A. The fatigue and fracture toughness of laminated composites based on 7075-T6 aluminium alloy. Composites 1976, 7:27-33.
12. Anderson T.L. Fracture mechanics: fundamentals and applications 2005, Taylor & Francis, Boca Raton. 3rd ed.
13. Wang C., Huang Y., Zan Q., Guo H., Cai S. Biomimetic structure design-a possible approach to change the brittleness of ceramics in nature. Mater Sci Engng, C 2000, 11:9-12.
14. Ceylan A., Fuierer P.A. Fracture toughness of alumina/lanthanum titanate laminate composites with a weak interface. Mater Lett 2007, 61:551-555.
15. Tomaszewski H., Weglarz H., Wajler A., Boniecki M., Kalinski D. Multilayer ceramic composites with high failure resistance. J Eur Ceram Soc 2007, 27:1373-1377.
16. Bermejo R., Danzer R. High failure resistance layered ceramics using crack bifurcation and interface delamination as reinforcement mechanisms. Engng Fract Mech 2010, 77:2126-2135.
17. Atkins A.G. Imparting strength and toughness to brittle composites. Nature 1974, 252:116-118.
18. Atkins A.G. Intermittent bonding for high toughness/high strength composites. J Mater Sci 1975, 10:819-832.
19. Marston T.U., Atkins A.G., Felbeck D.K. Interfacial fracture energy and the toughness of composites. J Mater Sci 1974, 9:447-455.
20. Fischer F.D., Predan J., Fratzl P., Kolednik O. Semi-analytical approaches to assess the crack driving force in periodically heterogeneous elastic materials. Int J Fract 2012, 173:57-70.
21. Kolednik O. The yield stress gradient effect in inhomogeneous materials. Int J Solids Struct 2000, 37:781-808.
22. Zechner J., Kolednik O. Fracture resistance of aluminum multilayer composites. Engng Fract Mech 2013, 110:489-500.
23. Dunlop J.W.C., Fratzl P. Biological composites. Annu Rev Mater Res 2010, 40:1-24.
24. Espinosa H.D., Rim J.E., Barthelat F., Buehler M.J. Merger of structure and material in nacre and bone - perspectives on de novo biomimetic materials. Prog Mater Sci 2009, 54:1059-1100.
25. Shao Y., Zhao H.-P., Feng X.-Q., Gao H. Discontinuous crack-bridging model for fracture toughness analysis of nacre. J Mech Phys Solids 2012, 60:1400-1419.
26. Kamat S., Kessler H., Ballarini R., Nassirou M., Heuer A.H. Fracture mechanisms of the Strombus gigas conch shell: II-micromechanics analyses of multiple cracking and large-scale crack bridging. Acta Mater 2004, 52:2395-2406.
27. Walter S.L., Flinn B.D., Mayer G. Mechanisms of toughening of a natural rigid composite. Mater Sci Engng, C 2007, 27:570-574.
28. Aizenberg J. New nanofabrication strategies: inspired by biomineralization. MRS Bull 2010, 35:323-330.
29. Zak A.R., Williams M.L. Crack point singularities at a bi-material interface. J Appl Mech 1963, 30:142-143.
30. Cook T.S., Erdogan F. Stresses in bonded materials with a crack perpendicular to the interface. Int J Engng Sci 1972, 10:677-697.
31. Erdogan F., Biricikoglu V. Two bonded half planes with a crack going through the interface. Int J Engng Sci 1973, 11:745-766.
32. Romeo A., Ballarini R. A crack very close to a bimaterial interface. J Appl Mech 1995, 62:614-619.
33. Gao H. Fracture analysis of nonhomogeneous materials via a moduli-perturbation approach. Int J Solids Struct 1991, 27:1663-1682.
34. Muju S. Crack propogation in bimaterial multilayered periodically microcracking composite media. Compos Sci Technol 2000, 60:2213-2221.
35. Shih C.F. Cracks on bimaterial interfaces: elasticity and plasticity aspects. Mater Sci Engng, A 1991, 143:77-90.
36. Wang T.C., Ståhle P. Stress state in front of a crack perpendicular to bimaterial interface. Engng Fract Mech 1998, 59:471-485.
37. Riemelmoser F., Pippan R. The J-integral at Dugdale cracks perpendicular to interfaces of materials with dissimilar yield stresses. Int J Fract 2000, 103:397-418.
38. Irwin GR. Plastic zone near a crack and fracture toughness. In: Sagamore Research Conference Proceedings; 1961.
39. Sugimura Y., Lim P.G., Shih C.F., Suresh S. Fracture normal to a bimaterial interface. Effects of plasticity on crack-tip shielding and amplification. Acta Metall Mater 1995, 43:1157-1169.
40. Kim A.S., Suresh S., Shih C.F. Plasticity effects on fracture normal to interfaces with homogeneous and graded compositions. Int J Solids Struct 1997, 34:3415-3432.
41. Joyce M.R., Reed P.A.S., Syngellakis S. Numerical modelling of crack shielding and deflection in a multi-layered material system. Mater Sci Engng, A 2003, 342:11-22.
42. Chen C.R., Pascual J., Fischer F.D., Kolednik O., Danzer R. Prediction of the fracture toughness of a ceramic multilayer composite - modeling and experiments. Acta Mater 2007, 55:409-421.
43. Kolednik O., Predan J., Fischer F.D. Reprint of "Cracks in inhomogeneous materials: Comprehensive assessment using the configurational forces concept" Engng Fract Mech 2010, 77:3611-3624.
44. Kolednik O., Predan J., Gubeljak N., Fischer D.F. Modeling fatigue crack growth in a bimaterial specimen with the configurational forces concept. Mater Sci Engng, A 2009, 519:172-183.
45. Rakin M., Kolednik O., Medjo B., Simha N.K., Fischer F.D. A case study on the effect of thermal residual stresses on the crack-driving force in linear-elastic bimaterials. Int J Mech Sci 2009, 51:531-540.
46. Simha N.K., Fischer F.D., Kolednik O., Chen C.R. Inhomogeneity effects on the crack driving force in elastic and elastic-plastic materials. J Mech Phys Solids 2003, 51:209-240.
47. Simha N.K., Fischer F.D., Kolednik O., Predan J., Shan G.X. Crack tip shielding or anti-shielding due to smooth and discontinuous material inhomogeneities. Int J Fract 2005, 135:73-93.
48. Honein T., Herrmann G. Conservation laws in nonhomogeneous plane elastostatics. J Mech Phys Solids 1997, 45:789-805.
49. Suresh S., Sugimura Y., Tschegg E.K. The growth of a fatigue crack approaching a perpendicularly-oriented, bimaterial interface. Scr Metall Mater 1992, 27:1189-1194.
50. Pippan R., Flechsig K., Riemelmoser F.O. Fatigue crack propagation behavior in the vicinity of an interface between materials with different yield stresses. Mater Sci Engng, A 2000, 283:225-233.
51. Zechner J., Kolednik O. Paper multilayer with a fracture toughness of steel. J Mater Sci 2013, 48:5180-5187.
52. Kolednik O., Predan J., Fischer F.D., Fratzl P. Improvements of strength and fracture resistance by spatial material property variations. Acta Mater 2014, 68:279-294.
53. Eshelby J.D. Energy relations and the energy-momentum tensor in continuum mechanics. Inelastic behavior of solids 1973, McGraw-Hill, New York. M. Kanninen, W. Adler, A. Rosenfield, R. Jaffee (Eds.).
54. Maugin G.A. Material inhomogeneities in elasticity 1993, Chapman and Hall, London.
55. Gurtin M.E. Configurational forces as basic concepts of continuum physics 2000, Springer, Berlin.
56. Kolednik O., Schöngrundner R., Fischer F.D. A new view on J-integrals in elastic-plastic materials. Int J Fract 2014, 187:77-107.
57. Schöngrundner R. Numerische Studien zur Ermittlung der risstreibenden Kraft in elastisch-plastischen Materialien bei unterschiedlichen Belastungsbedingungen. Fortschritt-Berichte VDI, Reihe 18, Nr. 329, VDI-Verlag, Düsseldorf; 2011.
58. Fischer F.D., Simha N.K., Predan J., Schöngrundner R., Kolednik O. On configurational forces at boundaries in fracture mechanics. Int J Fract 2012, 174:61-74.
59. Parks D.M. The virtual crack extension method for nonlinear material behavior. Comput Methods Appl Mech Engng 1977, 12:353-364.
60. Hutchinson J.W. Singular behaviour at the end of a tensile crack in a hardening material. J Mech Phys Solids 1968, 16:13-31.
61. Rice J. The elastic-plastic mechanics of crack extension. Int J Fract 1968, 4:41-47.
62. Rice J.R., Rosengren G.F. Plane strain deformation near a crack tip in a power-law hardening material. J Mech Phys Solids 1968, 16:1-12.
63. Freund L.B. Dynamic fracture mechanics 1990, Cambridge University Press, Cambridge, UK.