Coupled multi-scale cohesive modeling of failure in heterogeneous adhesives

International Journal for Numerical Methods in Engineering

Volumn 84, Issue 8, 2010, Pages 916-946

  Kulkarni, M G ^a,c   Matous K ^b   Geubelle, P H ^a  

^a United States of America   (United States)

^b University of Notre Dame   (United States)

^c EXXONMOBIL UPSTREAM RESEARCH COMPANY   (United States)

Author keywords

Computational homogenization; Finite element method; Heterogeneous adhesives; Multi scale cohesive model; Nested iterative scheme; Viscous damage model

Indexed keywords

COMPUTATIONAL HOMOGENIZATION; DAMAGE MODEL; FINITE ELEMENT; HETEROGENEOUS ADHESIVES; ITERATIVE SCHEMES; MULTISCALES;

ADHESIVES; COMPUTATIONAL METHODS; CONFORMAL MAPPING; CONVERGENCE OF NUMERICAL METHODS; FRACTURE; HOMOGENIZATION METHOD; VARIATIONAL TECHNIQUES;

FINITE ELEMENT METHOD;

EID: 78049315381     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2923     Document Type: Article

References (25)

1. Bensoussan A, Lions J, Papanicolaou G. Asymptotic Analysis for Periodic Structures. North-Holland: Amsterdam, 1978.
2. Lions J. Some Methods in the Mathematical Analysis of Systems and their Control. Science Press: Beijing and Gordon Breach, New York, 1981.
3. Hill R. On the micro-to-macro transition in constitutive analyses of elastoplastic response at finite strain. Mathematical Proceedings of the Cambridge Philosophical Society 1985; 98:579-590.
4. Kinloch A. Toughening epoxy adhesives to meet today's challenges. MRS Bulletin 2003; 28(6):445-448.
5. Xu S, Dillard D, Dillard J. Environmental aging effects on the durability of electrically conductive adhesive joints. International Journal of Adhesion and Adhesives 2003; 23:235-250.
6. Miller G. Self-healing adhesive film for composite laminate repairs of metallic substrates. Master's Thesis, University of Illinois at Urbana-Champaign, 2007.
7. Matouš K, Kulkarni M, Geubelle P. Multiscale cohesive failure modeling of heterogeneous adhesives. Journal of the Mechanics and Physics of Solids 2008; 56:1511-1533.
8. Kulkarni M, Geubelle P, Matouš K. Multi-scale modeling of heterogeneous adhesives: effect of particle decohesion. Mechanics of Materials 2009; 41(5):573-583.
9. Terada K, Kikuchi N. A class of general algorithms for multi-scale analyses of heterogeneous media. Computer Methods in Applied Mechanics and Engineering 2001; 190(40-41):5427-5464.
10. Fish K, Yu Q. Multiscale damage modelling for composite materials: theory and computational framework. International Journal for Numerical Methods in Engineering 2001; 52:161-191.
11. 2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. Computer Methods in Applied Mechanics and Engineering 2000; 183(3-4):309-330.
12. Kouznetsova V, Geers M, Brekelmans W. Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy. Computer Methods in Applied Mechanics and Engineering 2004; 193(48-51):5525-5550.
13. Raghavan P, Ghosh S. Concurrent multi-scale analysis of elastic composites by a multi-level computational model. Computer Methods in Applied Mechanics and Engineering 2004; 193(6-8):497-538.
14. Hirschberger C, Ricker S, Steinmann P, Sukumar N. Computational multiscale modelling of heterogeneous material layers. Engineering Fracture Mechanics 2009; 76(6):793-812.
15. Hughes T. The Finite Element Method: The Linear Static and Dynamic Finite Element Analysis. Dover: New York, 2000.
16. Park K, Paulino G, Roesler J. A unified potential-based cohesive model of mixed-mode fracture. Journal of the Mechanics and Physics of Solids 2009; 57(6):891-908.
17. Riks E. An incremental approach to the solution of snapping and buckling problems. International Journal of Solids and Structures 1979; 15(7):529-551.
18. Crisfield M. A fast incremental/iterative solution procedure that handles snap-through. Computers and Structures 1981; 13(1-3):55-62.
19. Crisfield M. Variable step-lengths for non-linear structural analysis. Technical Report LR 1049, Transport and Road Research Laboratory, Crowthorne, Berkshire, 1982.
20. Kasper E, Taylor R. A mixed-enhanced strain method: part I: geometrically linear problems. Computers and Structures 2000; 75(3):237-250.
21. Rice J. Mathematical analysis in the mechanics of fracture. Fracture 1968; 2:191-311.
22. Reeder J, Crews J. Mixed mode bending method for delamination testing. AIAA Journal 1990; 28(7):1270-1276.
23. Simo J, Ju J. Strain- and stress-based continuum damage models-I. formulation. International Journal of Solids and Structures 1987a; 23(7):821-840.
24. Simo J, Ju J. Strain- and stress-based continuum damage models-II. computational aspects. International Journal of Solids and Structures 1987b; 23(7):841-869.
25. Mi Y, Crisfield M, Davis G, Hellweg H. Progressive delamination using interface elements. Journal of Composite Materials 1997; 32(14):1246-1272.