Modeling of delamination using a discretized cohesive zone and damage formulation

Delamination initiation and growth are analyzed by using a discrete cohesive crack model. The delamination is constrained to grow along a tied interface. The model is derived by postulating the existence of a maximum load surface which limits the adhesive forces in the process zone of the crack. The size of this maximum load surface is made dependent on the amount of dissipated crack opening work, such that the maximum load surface shrinks to zero as a predefined amount of work is consumed. A damage formulation is used to reduce the adhesive forces. Mode I, II and III loading or any combined loading is possible. An analytical solution is obtained for a single mode opening and the implications of this result on the governing equations is discussed. The delamination model is implemented in the finite element code LS-DYNA and simulation results are shown to be in agreement with experimental results.

[1]  Analysis of a non-linear crack model , 1970 .

[2]  Robin Olsson,et al.  Assessment of evaluation methods for the mixed-mode bending test , 1999 .

[3]  Michael R Wisnom,et al.  A combined stress-based and fracture-mechanics-based model for predicting delamination in composites , 1993 .

[4]  Larsgunnar Nilsson,et al.  Simulation of delamination in fiber composites with a discrete cohesive failure model , 2001 .

[5]  Bruce W. Char,et al.  First Leaves: A Tutorial Introduction to Maple V , 1992 .

[6]  Tonny Nyman,et al.  Numerical and experimental investigation of a composite ENF-specimen , 2000 .

[7]  T. Wright,et al.  Nonlinear Deformation Waves , 1981 .

[8]  V. Tvergaard Effect of fibre debonding in a whisker-reinforced metal , 1990 .

[9]  S. Singh,et al.  Delamination resistance, failure criteria and fracture morphology of 0°/0°, 0°/5° and 0°/90° ply interfaces , 1999 .

[10]  D. Allen,et al.  Modelling of Damage Evolution in Laminated Viscoelastic Composites , 1997 .

[11]  A. Needleman A Continuum Model for Void Nucleation by Inclusion Debonding , 1987 .

[12]  A. Hillerborg,et al.  Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements , 1976 .

[13]  Larsgunnar Nilsson,et al.  Nonlinear wave propagation in plastic fracturing materials : a constitutive modelling and finite element analysis , 1983 .

[14]  L. Asp The effects of moisture and temperature on the interlaminar delamination toughness of a carbon/epoxy composite , 1998 .

[15]  Tomasz Łodygowski,et al.  Interaction of deformation waves and localization phenomena in inelastic solids , 2000 .

[16]  David H. Allen,et al.  Formulation of a three-dimensional cohesive zone model for application to a finite element algorithm , 2000 .

[17]  S. Toll,et al.  Finite element modelling of delamination progression under mixed mode loadings , 2000 .

[18]  Werner Wagner,et al.  Delamination growth analysis in laminated structures with continuum-based 3D-shell elements and a viscoplastic softening model , 2000 .

[19]  G. I. Barenblatt THE MATHEMATICAL THEORY OF EQUILIBRIUM CRACKS IN BRITTLE FRACTURE , 1962 .

[20]  Alan Needleman,et al.  Numerical modeling of crack growth under dynamic loading conditions , 1997 .

[21]  F. Tin-Loi,et al.  Numerical simulations of quasibrittle fracture processes using the discrete cohesive crack model , 2000 .

[22]  D. S. Dugdale Yielding of steel sheets containing slits , 1960 .

[23]  Karl-Gunnar Olsson,et al.  Hardening/Softening Plastic Analysis of Adhesive Joint , 1988 .

[24]  Gabriella Bolzon,et al.  Hybrid finite element approach to quasi-brittle fracture , 1996 .

[25]  Chien H. Wu Fracture Under Combined Loads by Maximum-Energy-Release-Rate Criterion , 1978 .

[26]  F. Chang,et al.  Modelling of splitting and delamination in notched cross-ply laminates , 2000 .

[27]  Olivier Allix,et al.  Identification and forecast of delamination in composite laminates by an interlaminar interface model , 1998 .

[28]  Michael R Wisnom,et al.  Modelling the Effect of Cracks on Interlaminar Shear Strength , 1996 .