Development of a dynamic decohesion criterion for subsonic fracture of the interface between two dissimilar materials

We present findings of an experimental study of dynamic decohesion of bimaterial systems composed of constituents with a large material property mismatch. Poly-methylmethacrylate (PMMA)-steel and PMMA-aluminium bimaterial fracture specimens were used. Dynamic one-point bend loading was accomplished with a drop-weight tower device (for low and intermediate loading rates) or a high-speed gas gun (for high loading rates). High-speed interferometric measurements were made using the lateral shearing interferometer of coherent gradient sensing in conjunction with high-speed photography. Very high crack propagation speeds (terminal crack-tip speeds up to 1.5csPMMA, where csPMMA is the shear wave speed of PMMA) and high accelerations (of about 107g, where g is the acceleration of gravity) were observed and are reported. Issues regarding data analysis of the high-speed interferograms are discussed. The effects of near-tip three-dimensionality are also analysed. Dynamic complex stress factor histories are obtained by fitting the experimental data to available asymptotic crack-tip fields. A dynamic crack growth criterion for crack growth along bimaterial interfaces is proposed. In the subsonic regime of crack growth it is seen that the opening and shearing displacements behind the propagating crack tip remain constant and equal to their value at initiation, i.e. the crack retains a self-similar profile during crack growth at any speed. This forms the basis of the proposed dynamic interfacial fracture criterion.

[1]  Kenneth M. Liechti,et al.  Crack propagation at material interfaces: II experiments on mode interaction , 1982 .

[2]  H. Saunders,et al.  Advanced Fracture Mechanics , 1985 .

[3]  W. Knauss,et al.  Finite strains at the tip of a crack in a sheet of hyperelastic material: III. General bimaterial case , 1994 .

[4]  Zhigang Suo,et al.  Mechanics of dynamic debonding , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[5]  A. Rosakis,et al.  Interfacial cracks in plates : a three-dimensional numerical investigation , 1993 .

[6]  Ares J. Rosakis,et al.  Quasi-static and dynamic crack growth along bimaterial interfaces: A note on crack-tip field measurements using coherent gradient sensing , 1991 .

[7]  Xiaomin Deng,et al.  General Crack-Tip Fields for Stationary and Steadily Growing Interface Cracks in Anisotropic Bimaterials , 1993 .

[8]  J. Willis,et al.  Fracture mechanics of interfacial cracks , 1971 .

[9]  C. Shih,et al.  Elastic-Plastic Analysis of Cracks on Bimaterial Interfaces: Part I—Small Scale Yielding , 1988 .

[10]  John Lambros,et al.  Analysis of coherent gradient sensing (CGS) by fourier optics , 1996 .

[11]  Kenneth M. Liechti,et al.  Biaxial Loading Experiments for Determining Interfacial Fracture Toughness , 1991 .

[12]  C. F. Shih,et al.  Elastic-Plastic Analysis of Cracks on Bimaterial Interfaces: Part II—Structure of Small-Scale Yielding Fields , 1989 .

[13]  R. V. Gol'dshtein On surface waves in joined elastic materials and their relation to crack propagation along the junction , 1967 .

[14]  W. Knauss,et al.  Finite strains at the tip of a crack in a sheet of hyperelastic material: II. Special bimaterial cases , 1994 .

[15]  W. Knauss,et al.  Crack propagation at material interfaces: I. Experimental technique to determine crack profiles , 1982 .

[16]  Rodney Hill,et al.  Self-similar problems in elastodynmics , 1973, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[17]  John W. Hutchinson,et al.  Dynamic Fracture Mechanics , 1990 .

[18]  C. Shih Cracks on bimaterial interfaces: elasticity and plasticity aspects , 1991 .

[19]  James R. Rice,et al.  Elastic Fracture Mechanics Concepts for Interfacial Cracks , 1988 .

[20]  John Lambros,et al.  SHEAR DOMINATED TRANSONIC INTERFACIAL CRACK GROWTH IN A BIMATERIAL-I. EXPERIMENTAL OBSERVATIONS , 1995 .

[21]  John Lambros,et al.  Highly transient elastodynamic crack growth in a bimaterial interface : higher order asymptotic analysis and optical experiments , 1993 .

[22]  Jan Drewes Achenbach,et al.  Extension of an interface flaw under the influence of transient waves , 1973 .

[23]  James K. Knowles,et al.  Large deformations near a tip of an interface-crack between two Neo-Hookean sheets , 1983 .

[24]  Ares J. Rosakis,et al.  Optical mapping of crack tip deformations using the methods of transmission and reflection coherent gradient sensing: a study of crack tip K-dominance , 1991, International Journal of Fracture.

[25]  H. Tippur Coherent gradient sensing: a Fourier optics analysis and applications to fracture. , 1992, Applied optics.

[26]  Ares J. Rosakis,et al.  A coherent gradient sensor for crack tip deformation measurements: analysis and experimental results , 1991 .

[27]  M. Williams The stresses around a fault or crack in dissimilar media , 1959 .