Dynamic crack propagation in a heterogeneous ceramic microstructure, insights from a cohesive model

A 2D plane-strain dynamically propagating crack under tensile loading is simulated with cohesive elements. Information of the main crack is extracted from a diffuse crack network with the use of graph properties. Micro-transgranular fracture properties are calibrated by comparing the crack path transgranular fracture percentage of numerical simulations with experimental data. Results show that although weaker grain boundaries cause more deflections in the crack path and consequently increase the crack length and roughness, the overall toughness is decreased due to reduction of transgranular fracture. The main crack failure mode transition at grain boundaries is compared to static (Hutchinson and Suo, 1992) and dynamic (Xu et al., 2003) classical analytical predictions. It is observed that in many cases, before the arrival of a transgranular fracture at a grain boundary, a micro-daughter crack starts to propagate on the interface. The crack tip extension through this daughter crack/mother crack mechanism complicates the interpretation of the main crack speed in dynamic regime. Yet, the dynamic analysis brings a more accurate prediction of the crack path in microstructures compared to the static one when the data are segregated according to this mechanism.

[1]  J. Rice,et al.  A critical evaluation of dynamic fracture simulations using cohesive surfaces , 2001, cond-mat/0106304.

[2]  Yan Li,et al.  Prediction of fracturess toughness of ceramic composites as function of microstructure: II. analytical model , 2013 .

[3]  J. Molinari,et al.  On the influence of transgranular and intergranular failure mechanisms during dynamic loading of silicon nitride , 2014 .

[4]  M. Geers,et al.  An In Situ Experimental‐Numerical Approach for Characterization and Prediction of Interface Delamination: Application to CuLF‐MCE Systems , 2012 .

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

[6]  Gregory J. Tallents,et al.  Temporal resolution of a transient pumping X-ray laser , 2001 .

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

[8]  John R. Rice,et al.  A Critical Evaluation of Cohesive Zone Models of Dynamic Fracture , 2001 .

[9]  John W. Hutchinson,et al.  Crack deflection at an interface between dissimilar elastic-materials , 1989 .

[10]  F. Lange Relation Between Strength, Fracture Energy, and Microstructure of Hot-Pressed Si3N4 , 1973 .

[11]  J. V. Dommelen,et al.  A practical approach for the separation of interfacial toughness and structural plasticity in a delamination growth experiment , 2013, International Journal of Fracture.

[12]  Ares J. Rosakis,et al.  Dynamic failure mechanics , 2000 .

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

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

[15]  T. Tien,et al.  Effect of the Grain Boundary Thermal Expansion Coefficient on the Fracture Toughness in Silicon Nitride , 1995 .

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

[17]  K. T. Ramesh,et al.  Mechanisms of Dynamic Deformation and Dynamic Failure in Aluminum Nitride , 2012 .

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

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

[20]  K. Broberg Cracks and Fracture , 1999 .

[21]  Laxmikant V. Kalé,et al.  Parallel Simulations of Dynamic Fracture Using Extrinsic Cohesive Elements , 2009, J. Sci. Comput..

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

[23]  Zhigang Suo,et al.  Crack Deflection at an Interface Between Two Orthotopic Media , 1992 .

[24]  G. Pharr,et al.  Elastic Anisotropy of ß‐Silicon Nitride Whiskers , 2005 .

[25]  Ares J. Rosakis,et al.  Dynamic crack deflection and penetration at interfaces in homogeneous materials: experimental studies and model predictions , 2003 .

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

[27]  Ares J. Rosakis,et al.  An experimental study of impact-induced failure events in homogeneous layered materials using dynamic photoelasticity and high-speed photography , 2003 .

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