Abstract
Delamination is typically modelled using cohesive zone models. In this paper, it is shown that the validity of most models is limited to small displacements and/or deformations at the interface and the surrounding bulk materials. A large displacement formulation (LDF) is proposed that overcomes issues of the classical formulation with large displacements and deformations at the interface. Subsequently, a 3D cohesive zone element with this LDF is introduced and its numerical implementation is elaborated. Then, a 3D FEM model is proposed and the determination of several model parameters is substantiated. Finally, the implementation is validated by comparing numerical results with experimental observations.
Article PDF
Similar content being viewed by others
References
Abdul-Baqi A and Van der Giessen E (2001). Indentation-induced interface delamination of a strong film on a ductile substrate. Thin Film Solids 381: 143–154
Baaijens FPT (1991). Calculation of residual stresses in injection-molded products. Rheol Acta 30: 284–299
Boelen B, Den Hartog H and Weijde H (2004). Product performance of polymer coated packaging steel, study of the mechanism of defect growth in cans. Prog Org Coat 50: 40–46
Chandra N, Li H, Shet C and Ghonem H (2002). Some issues in the application of cohesive zone models for metal–ceramic interfaces. Int J Solids Struct 39: 2827–2855
Chvedov D and Jones R (2004). Frictional behavior of rolled surfaces coated with polymer films. Surface Coat Technol 188–189: 544–549
Cornec A, Scheider I and Schwalbe KH (2003). On the practical application of the cohesive model. Eng Frac Mech 70: 1963–1987
De Borst R (2003). Numerical aspects of cohesive-zone models. Eng Frac Mech 70: 1743–1757
Eyring H (1936). Viscosity, plasticity and diffusion as examples of absolute reaction rates. J Chem Phys 4: 283–295
Govaert LE, Timmermans PHM and Brekelmans WAM (2000). The influence of instrinsic strain softening on strain localization in polycarbonate: modeling and experimental validation. J Eng Mat Tech 122: 177–185
Graziano F (2000). Coil and sheet coating. Metal Finish 98: 175–176
Haward R and Thackray G (1968). The use of a mathematical model to describe isothermal stress–strain curves in glassy polymers. Proc R Soc Lond A 302: 453–472
Klompen ETJ, Engels TAP, Govaert LE and Meijer HEH (2005). Modeling of the postyield response of glassy polymers: inlfuence of thermomechanical history. Macromolecules 38: 6997–7008
Leonov AI (1976). Nonequilibrium thermodynamics and rheology of viscoelastic polymer media. Rheol Acta 15: 85–98
Qiu Y, Crisfield MA and Alfano G (2001). An interface element formulation for the simulation of delamination with buckling. Eng Frac Mech 68: 1755–1776
Roychowdhury S, Arun Roy Y and Dodds RH (2002). Ductile tearing in thin aluminium panels: experiments and analyses using large-displacement, 3-D surface cohesive elements. Eng Frac Mech 69: 983–1002
Tervoort TA and Govaert LE (2000). Strain-hardening behavior of polycarbonate in the glassy state. J Rheol 44: 1263–1277
Tvergaard V (1990). Effect of fibre debonding in a whisker- reinforced metal. Mat Sci Eng A 125: 203–213
Van den Schreurs PJG, Geers MGD and Bosch MJ (2006). An improved description of the exponential Xu and Needleman cohesive zone law for mixed-mode decohesion. Eng Frac Mech 73: 1220–1234
Van den Schreurs PJG, Geers MGD and Bosch MJ (2007). A cohesive zone model with a large displacement formulation accounting for interfacial fibrilation. Eur J Mech 26: 1–19
Van den Schreurs PJG, Baaijens FTP, Van Veenen WJ, Aa HCE and Aa MAH (2000). An experimental and numerical study of the wall ironing process of polymer coated sheet metal. Mech Mat 32: 423–443
Xu XP and Needleman A (1993). Void nucleation by inclusions debonding in a crystal matrix. Mod Sim Mat Sci Eng 1: 111–132
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
van den Bosch, M.J., Schreurs, P.J.G. & Geers, M.G.D. On the development of a 3D cohesive zone element in the presence of large deformations. Comput Mech 42, 171–180 (2008). https://doi.org/10.1007/s00466-007-0184-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00466-007-0184-8