Dynamic crack growth along a polymer composite–Homalite interface

Abstract Dynamic crack growth along the interface of a fiber-reinforced polymer composite–Homalite bimaterial subjected to impact shear loading is investigated experimentally and numerically. In the experiments, the polymer composite–Homalite specimens are impacted with a projectile causing shear dominated interfacial cracks to initiate and subsequently grow along the interface at speeds faster than the shear wave speed of Homalite. Crack growth is observed using dynamic photoelasticity in conjunction with high-speed photography. The calculations are carried out for a plane stress model of the experimental configuration and are based on a cohesive surface formulation that allows crack growth, when it occurs, to emerge as a natural outcome of the deformation history. The effect of impact velocity and loading rate is explored numerically. The experiments and calculations are consistent in identifying discrete crack speed regimes within which crack growth at sustained crack speeds is possible. We present the first conclusive experimental evidence of interfacial crack speeds faster than any characteristic elastic wave speed of the more compliant material. The occurrence of this crack speed was predicted numerically and the calculations were used to design the experiments. In addition, the first experimental observation of a mother–daughter crack mechanism allowing a subsonic crack to evolve into an intersonic crack is documented. The calculations exhibit all the crack growth regimes seen in the experiments and, in addition, predict a regime with a pulse-like traction distribution along the bond line.

[1]  A. Rosakis,et al.  Experimental observations of intersonic crack growth in asymmetrically loaded unidirectional composite plates , 2001 .

[2]  Terry E. Tullis,et al.  Self-healing slip pulses in dynamic rupture models due to velocity-dependent strength , 1996, Bulletin of the Seismological Society of America.

[3]  Arun Shukla,et al.  Intersonic crack propagation in bimaterial systems , 1998 .

[4]  J. Rice New Perspectives on Crack and Fault Dynamics , 2001 .

[5]  Toshio Nakamura,et al.  Computational analysis of dynamic crack propagation along a bimaterial interface , 1994 .

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

[7]  Ares J. Rosakis,et al.  Intersonic shear crack growth along weak planes , 2000 .

[8]  Gao,et al.  How fast can cracks propagate? , 2000, Physical review letters.

[9]  Arun Shukla,et al.  Subsonic and intersonic crack growth along a bimaterial interface , 1996 .

[10]  K. B. Broberg,et al.  The near-tip field at high crack velocities , 1989 .

[11]  Alan Needleman,et al.  An analysis of intersonic crack growth under shear loading , 1999 .

[12]  L. B. Freund,et al.  The mechanics of dynamic shear crack propagation , 1979 .

[13]  Numerical analysis of dynamic debonding under 2D in-plane and 3D loading , 1998 .

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

[15]  Ares J. Rosakis,et al.  Intersonic crack growth in bimaterial interfaces : an investigation of crack face contact , 1998 .

[16]  Ares J. Rosakis,et al.  Impact failure characteristics in sandwich structures: Part I: Basic failure mode selection , 2002 .

[17]  Horacio Dante Espinosa,et al.  Modeling dynamic crack propagation in fiber reinforced composites including frictional effects , 2003 .

[18]  L. Brock Interface crack extension at any constant speed in orthotropic or transversely isotropic bimaterials––I. General exact solutions , 2002 .

[19]  M. Ortiz,et al.  Three-dimensional modeling of intersonic shear-crack growth in asymmetrically loaded unidirectional composite plates , 2002 .

[20]  Jay Fineberg,et al.  Confirming the continuum theory of dynamic brittle fracture for fast cracks , 1999, Nature.

[21]  Jan Drewes Achenbach,et al.  Modern Problems in Elastic Wave Propagation , 1979 .

[22]  A. Rosakis,et al.  Subsonic and intersonic mode II crack propagation with a rate-dependent cohesive zone , 2002 .

[23]  Ares J. Rosakis,et al.  Intersonic shear cracks and fault ruptures , 2002 .

[24]  An Intersonic Slip Pulse at a Frictional Interface Between Dissimilar Materials , 2001 .

[25]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: III. On steady-state crack propagation and crack branching , 1984 .

[26]  Ares J. Rosakis,et al.  Impact failure characteristics in sandwich structures. Part II: Effects of impact speed and interfacial strength , 2002 .

[27]  Philippe H. Geubelle,et al.  Intersonic crack propagation in homogeneous media under shear-dominated loading: Theoretical analysis , 2001 .

[28]  John R. Rice,et al.  Slip dynamics at an interface between dissimilar materials , 2001 .

[29]  M. Barquins Sliding friction of rubber and Schallamach waves: a review , 1985 .

[30]  Philippe H. Geubelle,et al.  A Spectral Scheme to Simulate Dynamic Fracture Problems in Composites , 2000 .

[31]  Huajian Gao,et al.  On radiation-free transonic motion of cracks and dislocations , 1999 .

[32]  Yehuda Ben-Zion,et al.  Wrinkle-like slip pulse on a fault between different , 1997 .

[33]  Gross,et al.  Energy dissipation in dynamic fracture. , 1996, Physical review letters.

[34]  T. Heaton Evidence for and implications of self-healing pulses of slip in earthquake rupture , 1990 .

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

[36]  J. Weertman Dislocations moving uniformly on the interface between isotropic media of different elastic properties , 1963 .

[37]  J. Rice,et al.  Conditions under which velocity-weakening friction allows a self-healing versus a cracklike mode of rupture , 1998, Bulletin of the Seismological Society of America.

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

[39]  Ares J. Rosakis,et al.  Shear dominated transonic interfacial crack growth in a bimaterial I-II. Asymptotic fields and favorable velocity regimes , 1995 .

[40]  T. Belytschko,et al.  Efficient large scale non‐linear transient analysis by finite elements , 1976 .

[41]  J. Weertman,et al.  Unstable slippage across a fault that separates elastic media of different elastic constants , 1980 .

[42]  J. Lothe,et al.  Slip waves along the interface between two anisotropic elastic half-spaces in sliding contact , 1988, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[43]  Arun Shukla,et al.  Investigation of the mechanics of intersonic crack propagation along a bimaterial interface using coherent gradient sensing and photoelasticity , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[44]  Philippe H. Geubelle,et al.  Numerical analysis of dynamic debonding under anti-plane shear loading , 1997 .

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

[46]  A. Rosakis,et al.  Cracks faster than the shear wave speed , 1999, Science.

[47]  Honghui Yu,et al.  Mechanics of transonic debonding of a bimaterial interface: The in-plane case , 1995 .

[48]  D. J. Andrews,et al.  Rupture velocity of plane strain shear cracks , 1976 .

[49]  Xiaopeng Xu,et al.  Void nucleation by inclusion debonding in a crystal matrix , 1993 .

[50]  Jan Drewes Achenbach,et al.  Dynamic Interaction of a Layer and a Half-Space , 1967 .

[51]  W. F. Riley,et al.  Experimental stress analysis , 1978 .

[52]  Farid F. Abraham,et al.  The atomic dynamics of fracture , 2001 .

[53]  John R. Rice,et al.  Fault rupture between dissimilar materials: Ill-posedness, regularization, and slip-pulse response , 2000 .

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

[55]  A. Rosakis,et al.  Analysis of intersonic crack growth in unidirectional fiber-reinforced composites , 1999 .

[56]  A. Piva,et al.  Effect of Orthotropy on the Intersonic Shear Crack Propagation , 1996 .

[57]  Samuel W. Key,et al.  Transient shell response by numerical time integration , 1973 .

[58]  Ares J. Rosakis,et al.  The effect of bond strength and loading rate on the conditions governing the attainment of intersonic crack growth along interfaces , 1999 .