Interfacial failures in a compressive shear strength test of glass/polymer laminates

Abstract A computational method for interfacial failure modeling in composite material systems using cohesive elements is developed. This method is based on phenomenological cohesive zone models implemented within an implicit finite element framework as cohesive elements. Dynamic 2D and 3D cohesive elements have been developed and are used to simulate a compressive shear strength (CSS) test. The CSS test is employed in the polymer industry to measure polymer/substrate adhesion. The computational framework is first verified against existing analytical solutions for dynamic crack growth in double cantilever beam specimens. The phenomenon of stable crack growth followed by unstable crack growth observed in the CSS experiment is simulated. Various crack growth behaviors, obtained for different sizes of the initial pre-flaw along the interface, are studied. The phenomenon of dynamic crack “pop-in”, consisting of dynamic crack growth followed by crack arrest and stable crack growth, is investigated. The influence of the cohesive zone model parameters on crack “pop-in” as well as stability of crack growth are studied. A 3D dynamic simulation of a square plan form of CSS test is performed. The 3D analyses reveal the mixed-mode behavior in crack front growth along the interface and local “pop-through” of the crack front near the free edge of the CSS test specimen.

[1]  J. Williams Transient effects during rapid crack propagation , 1998 .

[2]  S. Burns,et al.  Crack propagation in wedged double cantilevered beam specimens , 1974 .

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

[4]  M. Ortiz,et al.  Computational modelling of impact damage in brittle materials , 1996 .

[5]  T. Hughes,et al.  Collocation, dissipation and [overshoot] for time integration schemes in structural dynamics , 1978 .

[6]  Xiaopeng Xu,et al.  Numerical simulations of dynamic crack growth along an interface , 1996 .

[7]  Xiaopeng Xu,et al.  Numerical simulations of dynamic interfacial crack growth allowing for crack growth away from the bond line , 1996 .

[8]  H. Espinosa,et al.  Adaptive FEM computation of geometric and material nonlinearities with application to brittle failure , 1998 .

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

[10]  Xiaopeng Xu,et al.  Numerical simulations of fast crack growth in brittle solids , 1994 .

[11]  Richard Schapery,et al.  A theory of crack initiation and growth in viscoelastic media , 1975 .

[12]  Sunil Saigal,et al.  Polymer interfacial fracture simulations using cohesive elements , 1999 .

[13]  A. Needleman An analysis of decohesion along an imperfect interface , 1990 .

[14]  Toshio Nakamura,et al.  Three-Dimensional Stress Fields of Elastic Interface Cracks , 1991 .

[15]  Sunil Saigal,et al.  COHESIVE ELEMENT MODELING OF VISCOELASTIC FRACTURE: APPLICATION TO PEEL TESTING OF POLYMERS , 2000 .

[16]  A. Jagota,et al.  Analysis of a compressive shear test for adhesion between elastomeric polymers and rigid substrates , 2000 .

[17]  John G Swadener,et al.  Asymmetric Shielding Mechanisms in the Mixed-Mode Fracture of a Glass/Epoxy Interface , 1998 .

[18]  A. Needleman An analysis of tensile decohesion along an interface , 1990 .

[19]  R. Jaffee,et al.  Deformation and fracture of high polymers. , 1973, Science.

[20]  J. Hutchinson,et al.  The relation between crack growth resistance and fracture process parameters in elastic-plastic solids , 1992 .

[21]  Ray W. Ogden,et al.  Nonlinear Elastic Deformations , 1985 .

[22]  W. G. Knauss,et al.  On the Steady Propagation of a Crack in a Viscoelastic Sheet: Experiments and Analysis , 1973 .

[23]  Z. Suo,et al.  Mixed mode cracking in layered materials , 1991 .