On the mechanics of sinusoidal interfaces between dissimilar elastic-plastic solids subject to dominant mode I

Engineering Fracture Mechanics

Volumn 131, Issue , 2014, Pages 38-57

  Cordisco, Fernando ^a   Zavattieri, Pablo D ^a   Hector, Louis G ^b   Bower, Allan F ^c  

^a PURDUE UNIVERSITY   (United States)

^b GENERAL MOTORS CORPORATION   (United States)

^c Brown University   (United States)

Author keywords

Bimaterial interfaces; Cohesive zone model; Crack propagation; Patterned interfaces; Sinusoidal interfaces

Indexed keywords

ASPECT RATIO; CRACK PROPAGATION; CRACK TIPS; CRACKS; ELASTOPLASTICITY; FRACTURE TOUGHNESS; GROWTH (MATERIALS); LOADING; SLIP FORMING; STICK-SLIP;

BI-MATERIAL INTERFACES; COHESIVE ZONE MODEL; COMPUTATIONAL MODEL; CONSTITUTIVE BEHAVIORS; DIMENSIONLESS ANALYSIS; DIMENSIONLESS GROUPS; ELASTIC-PLASTIC BEHAVIOR; ELASTIC-PLASTIC SOLID;

INTERFACES (MATERIALS);

EID: 85027921169     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2014.06.004     Document Type: Article

References (46)

1. Chen I.-W., Winn E., Menon M. Application of deformation instability to microstructural control in multilayer ceramic composites. Mater Sci Engng, A 2001, 317(1-2):226-235.
2. He L.H., Huang L.G. Pattern formation on a stretchable substrate. Int J Solids Struct 2008, 45(22-23):5879-5889.
3. Raabe D., Romano P., Sachs C., Al-Sawalmih a., Brokmeier H.-G., Yi S.-B., et al. Discovery of a honeycomb structure in the twisted plywood patterns of fibrous biological nanocomposite tissue. J Cryst Growth 2005, 283(1-2):1-7.
4. Xu W., Yang J.S., Lu T.J. Ductility of thin copper films on rough polymer substrates. Mater Des 2011, 32(1):154-161.
5. Shenoy V., Sharma A. Pattern formation in a thin solid film with interactions. Phys Rev Lett 2001, 86(1):119-122.
6. Mönch W., Herminghaus S. Elastic instability of rubber films between solid bodies. Europhys Lett 2001, 54(4):525-531.
7. Krajewski P.E., Hector L.G., Du N., Bower A.F. Microstructure-based multiscale modeling of elevated temperature deformation in aluminum alloys. Acta Mater 2010, 58(3):1074-1086.
8. Randle V. The measurement of grain boundary geometry 1993, Taylor & Francis.
9. Song J., Kostka a., Veehmayer M., Raabe D. Hierarchical microstructure of explosive joints: example of titanium to steel cladding. Mater Sci Engng, A 2011, 528(6):2641-2647.
10. Wang J., Hoagland R.G., Hirth J.P., Misra a. Atomistic modeling of the interaction of glide dislocations with 'weak' interfaces. Acta Mater 2008, 56(19):5685-5693.
11. Wang J., Hoagland R.G., Hirth J.P., Misra a. Atomistic simulations of the shear strength and sliding mechanisms of copper-niobium interfaces. Acta Mater 2008, 56(13):3109-3119.
12. Dunlop J.W.C., Weinkamer R., Fratzl P. Artful interfaces within biological materials. Mater Today 2011, 14(3):70-78.
13. Espinosa H.D., Juster A.L., Latourte F.J., Loh O.Y., Gregoire D., Zavattieri P.D. Tablet-level origin of toughening in abalone shells and translation to synthetic composite materials. Nat Commun 2011, 2(2):173.
14. Fabritius H.-O., Sachs C., Triguero P.R., Raabe D. Influence of structural principles on the mechanics of a biological fiber-based composite material with hierarchical organization: the exoskeleton of the Lobster Homarus americanus. Adv Mater 2009, 21(4):391-400.
15. Launey M.E., Chen P.-Y., McKittrick J., Ritchie R.O. Mechanistic aspects of the fracture toughness of elk antler bone. Acta Biomater 2010, 6(4):1505-1514.
16. Alfano M., Lubineau G., Furgiuele F., Paulino G.H. On the enhancement of bond toughness for Al/epoxy T-peel joints with laser treated substrates. Int J Fract 2011, 171(2):139-150.
17. Zhang Y., Babu S.S., Prothe C., Blakely M., Kwasegroch J., LaHa M., et al. Application of high velocity impact welding at varied different length scales. J Mater Process Technol 2011, 211(5):944-952.
18. Buck O., Rehbein D.K., Thompson R.B. Crack tip shielding by asperity contact determined by acoustic measurements. Eng Fract Mech 1987, 28(4):413-424.
19. Antico F.C., Zavattieri P.D., Hector L.G., Mance a, Rodgers W.R., Okonski D.a. Adhesion of nickel-titanium shape memory alloy wires to thermoplastic materials: theory and experiments. Smart Mater Struct 2012, 21(3):035022.
20. Kim W.-S., Yun I.-H., Lee J.-J., Jung H.-T. Evaluation of mechanical interlock effect on adhesion strength of polymer-metal interfaces using micro-patterned surface topography. Int J Adhes Adhes 2010, 30(6):408-417.
21. Evans A.G., Hutchinson J.W. Effects of non-planarity on the mixed mode fracture resistance of bimaterial interfaces. Acta Metall 1989, 37(3):909-916.
22. Ritchie R.O., Engineering M., OH T.S., Rodel J., Cannon M. Ceramic/metal interfacial crack growth: toughening by controlled microcracks and interfacial geometries. Acta Metall 1988, 36(8):2083-2093.
23. Ritchie R.O. Mechanisms of fatigue crack propagation in metals, ceramics and composites: role of crack tip shielding*AKtip=AK-Ks. Mater Sci Engng, A 1988, 103:15-28.
24. van der Sluis O., Noijen S.P.M., Bouquet J.B., Timmermans P.H.M. Analysis of combined adhesive and cohesive cracking at roughened surfaces. Key Eng Mater 2011, 488-489:117-121.
25. Reedy E.D.D. Effect of patterned nanoscale interfacial roughness on interfacial toughness: a finite element analysis. J Mater Res 2008, 23(11):3056-3065.
26. Li Y., Ortiz C., Boyce M.C. A generalized mechanical model for suture interfaces of arbitrary geometry. J Mech Phys Solids 2013, 61(4):1144-1167.
27. Zavattieri P.D., Hector L.G., Bower A.F. Determination of the effective mode-I toughness of a sinusoidal interface between two elastic solids. Int J Fract 2007, 145(3):167-180.
28. Zavattieri P.D., Hector L.G., Bower A.F. Cohesive zone simulations of crack growth along a rough interface between two elastic-plastic solids. Eng Fract Mech 2008, 75(15):4309-4332.
29. Cordisco F.A., Zavattieri P.D., Hector L.G., Bower A.F. Toughness of a patterned interface between two elastically dissimilar solids. Eng Fract Mech 2012, 1-17.
30. Gao Y.F., Bower a.F. A simple technique for avoiding convergence problems in finite element simulations of crack nucleation and growth on cohesive interfaces. Model Simul Mater Sci Eng 2004, 12(3):453-463.
31. Tvergaard V., Hutchinson J.W. The influence of plasticity on mixed interface toughness. J Mech Phys Solids 1993, 41(6):1119-1135.
32. Hutchinson J.W., Suo Z. Mixed mode cracking in layered materials. Adv Appl Mech 1992, 29:1-130.
33. Dundurs J. Discussion of edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading. J Appl Mech 1969, 36:650-652.
34. Rice J.R. The mechanics of earthquake rupture. Physics of the Earth's interior 1980, 555-649. North-Holland, New York. A.M. Dziewonski, E. Boschi (Eds.).
35. Anderson T. Fracture mechanics - fundamentals and applications 1995, CRC Press.
36. Bower A.F. Applied mechanics of solids 2010, CRC Press.
37. Tvergaard V., Hutchinson J.W. The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J Mech Phys Solids 1992, 40(6):1377-1397. August.
38. Shih C.F. Cracks on bimaterial interfaces: elasticity and plasticity aspects. Mater Sci Engng, A 1991, 143(1-2):77-90.
39. Buckingham E. On physically similar systems; illustrations of the use of dimensional equations. Phys Rev Lett 1914, 4(4):345-376.
40. Tvergaard V., Hutchinson J.W. Two mechanisms of ductile fracture: void by void growth versus multiple void interaction. Int J Solids Struct 2002, 39(13-14):3581-3597.
41. Liechti K.M., Chai Y.S. Asymmetric shielding in interfacial fracture under in-plane shear. J Appl Mech 1992, 59(June):295-304.
42. Shih C, Asaro R. Elastic-plastic analysis of cracks on bimaterial interfaces. Part 1. Small scale yielding; 1987.
43. Launey M., Buehler M.J., Ritchie R.O. On the mechanistic origins of toughness in bone. Annu Rev Mater Res 2010, 40:25-53.
44. Chen P.-Y., McKittrick J., Meyers M.A. Biological materials: functional adaptations and bioinspired designs. Prog Mater Sci 2012, 57(8):1492-1704.
45. Fratzl P., Weinkamer R. Nature's hierarchical materials. Prog Mater Sci 2007, 52(8):1263-1334.
46. Swadener J.G., Liechti K.M. Asymmetric shielding mechanisms in the mixed-mode fracture of a glass/epoxy interface. J Appl Mech 1998, 65(1):25-29.