A finite element model for the analysis of buckling driven delaminations of thin films on rigid substrates

Computational Mechanics

Volumn 41, Issue 3, 2008, Pages 361-370

  Gruttmann, F ^a   Pham, V D ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Buckling; Irreversible cohesive law; Shell model; Telephone cord delamination; Thin films

Indexed keywords

BUCKLING; DELAMINATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; SUBSTRATES;

SHELL MODELS; TELEPHONE CORD DELAMINATION;

THIN FILMS;

EID: 36749094500     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-007-0191-9     Document Type: Article

References (36)

1. Freund LB and Suresh S (2003). Thin film materials, stress, defect formation and surface evolution. Univesity Press, Cambridge
2. Gioia G and Ortiz M (1997). Delamination of compressed thin films. Adv Appl Mech 33: 119-192
3. Hutchinson JW, Thouless MD and Liniger EG (1992). Growth and configurational stability of circular, buckling-driven film delmaminations. Acta Metall Mater 40: 295-308
4. Hutchinson JW, He MY and Evans AG (2000). The influence of imperfections on the nucleation and propagation of buckling driven delaminations. J Mech Phys Solids 48: 709-734
5. Moon MW, Jensen HM, Hutchinson JW, Oh KH and Evans AG (2002). The characterization of telephone cord buckling of compressed films on substrates. J Mech Phys Solids 50: 2355-2377
6. Moon MW, Lee KR, Oh KH and Hutchinson JW (2004). Buckle delamination on patterned substrates. Acta Mater 52: 3151-3159
7. Thouless MD (1993). Combined buckling and cracking of films. J Am Ceram Soc 76(11): 2936-2938
8. Audoly B (1999). Stability of straight delamination blisters. Phys Rev Lett 83: 4124-4127
9. Freund LB (2000). Substrate curvature due to thin film mismatch strain in the nonlinear deformation range. J Mech Phys Solids 48: 1159-1174
10. Rose JH, Ferrante J and Smith JR (1981). Universal binding energy curves for metals and bimettallic interfaces. Phys Rev Lett 47: 675-678
11. Needleman A (1987). A continuum model for void nucleation by inclusion debonding. J Appl Mech ASME 54: 525-531
12. Ortiz M (1988). Microcrack coalescence and macroscopic crack growth initiation in brittle solids. Int J Solids Struct 5: 231-250
13. Needleman A (1992). Micromechanical modeling of interfacial decosion. Ultramicroscopy 40: 203-214
14. Camacho GT and Ortiz M (1996). Computational modeling of impact damage in brittle materials. Int J Solids Struct 33: 2899-2938
15. Needleman A (1990). An analyis of tensile decohesion along an imperfect interface. Int J Fract 42: 21-40
16. Tvergaard V and Hutchinson JW (1992). The relation between crack growth resistance an fracture process parameters in elastic-plastic solids. J Mech Phys Solids 40: 1377-1392
17. Tvergaard V and Hutchinson JW (1993). The influence of plasticity on mixed-mode interface toughness. J Mech Phys Solids 41: 1119-1135
18. Schellekens JCJ and de Borst R (1993). On the numerical integration of interface elements. Int J Num Meth Eng 36: 43-66
19. Schellekens JCJ and de Borst R (1993). A finite element approach for the analysis of mode-I free edge delamination in composites. Int J Solids Struct 30: 1239-1253
20. Xu XP and Needleman A (1994). Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42: 1397-1434
21. Xu XP and Needleman A (1996). Numerical simulations of dynamic interfacial crack-growth allowing for crack growth away from the bond line. Int J Frac 74: 253-275
22. Xu XP and Needleman A (1996). Numerical simulations of dynamic crack-growth along an interface. Int J Frac 74: 289-324
23. Ortiz M and Pandolfi A (1999). Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. Int J Num Meth Eng 44: 1267-1282
24. Roy YD and Dodds RH (2001). Simulation of ductile crack growth in thin aluminium panels using 3-D surface chesive elements. Int J Fract 110: 21-45
25. Remmers JJC, de Borst R and Needleman A (2003). A cohesive segments method for the simulation of crack growth. Comp Mech 31: 69-77
26. de Borst R (2003). Numerical aspects of cohesive zone models. Eng Fract Mech 70: 1743-1757
27. Jin ZH and Sun CT (2005). Cohesive zone modeling of interface fracture in elastic bi-materials. Eng Fract Mech 72: 1805-1817
28. Wagner W, Balzani C (2007) Simulation of delamination in stringer stiffened fiber-reinforced composite shells. Comput Struct (accepted)
29. Nilsson KF and Giannakopoulos AE (1995). A finite element analysis of configurational stability and finite growth of buckling driven delamination. J Mech Phys Solids 43: 1983-2021
30. Wagner W, Gruttmann F and Sprenger W (2001). A finite element formulation for the simulation of propagating delaminations in layered composite structures. Int J Num Meth Eng 51: 1337-1359
31. Simo JC and Rifai MS (1990). A class of mixed assumed strain methods and the method of incompatible modes. Int J Num Meth Eng 29: 1595-1638
32. Libai A and Simmonds JG (1983). Nonlinear elastic shell theory. In: Hutchinson, J and Wu, TY (eds) Advances in applied mechanics, Vol. 23, pp 271-371. Academic, New York
33. Gruttmann F and Wagner W (2006). Structural analysis of composite laminates using a mixed hybrid shell element. Comput Mech 37: 479-497
34. Dvorkin E and Bathe K-J (1984). A continuum mechanics based four node shell element for general nonlinear analysis. Eng Comput 1: 77-88
35. Riks E (1972). The application of Newtons method to the problem of elastic stability. J Appl Mech 39: 1060-1066
36. Gupta V and Yuan J (1993). Measurement of interface strength by the modified laser spallation technique. II. Application to metal/ceramic interfaces. J Appl Phys 74(4): 2397-2404