A Rate-Dependent Damage/Decohesion Model for Simulating Glass Fragmentation under Impact using the Material Point Method

A bifurcation-based simulation procedure is proposed in this paper to explore the transition from localization to decohesion involved in the glass fragmentation under impact loading. In the proposed procedure, the onset and orientation of discontinuous failure of glass is identified from the bifurcation analysis based on a rate-dependent tensile damage model. The material point method, which does not involve fixed mesh connectivity, is employed to accommodate the multi-scale discontinuities associated with the fragmentation of glass using a simple interface treatment. A parametric study has been conducted to demonstrate the effects of specimen size and impact velocity on the evolution of glass failure under impact loading. The preliminary results obtained in this numerical study provide a better understanding of the physics behind glass fragmentation under impact loading.

[1]  Zhen Chen,et al.  A Silent Boundary Scheme with the Material Point Method for Dynamic Analyses , 2005 .

[2]  Zvi Rosenberg,et al.  Impact‐induced failure waves in glass bars and plates , 1991 .

[3]  Yiu-Wing Mai,et al.  A bifurcation-based decohesion model for simulating the transition from localization to decohesion with the MPM , 2005 .

[4]  Zhen Chen,et al.  A study of the failure wave phenomenon in glasses compressed at different levels , 2005 .

[5]  M. Ortiz,et al.  Adaptive Lagrangian modelling of ballistic penetration of metallic targets , 1997 .

[6]  Jun Wei,et al.  Fracture mechanics of laminated glass subjected to blast loading , 2005 .

[7]  Y. Y Zhang,et al.  A Simplified Meshless Method for Dynamic Crack Growth , 2008 .

[8]  E. P. Chen,et al.  Rate-dependent transition from tensile damage to discrete fracture in dynamic brittle failure , 2001 .

[9]  Conversion of Finite Elements into Meshless Particles for Penetration Computations Involving Ceramic Targets , 2002 .

[10]  S. Atluri.  The meshless method (MLPG) for domain & BIE discretizations , 2004 .

[11]  James E. Guilkey,et al.  Improved Velocity Projection for the Material Point Method , 2007 .

[12]  Wenqing Hu,et al.  Model-based simulation of the synergistic effects of blast and fragmentation on a concrete wall using the MPM , 2006 .

[13]  Zhen Chen,et al.  A multi-scale simulation of tungsten film delamination from silicon substrate , 2005 .

[14]  Charles E. Anderson,et al.  Ballistic impact: the status of analytical and numerical modeling , 1988 .

[15]  Satya N. Atluri,et al.  Topology-optimization of Structures Based on the MLPG Mixed Collocation Method , 2008 .

[16]  T. Tran-Cong,et al.  A Meshless Modeling of Dynamic Strain Localization in Quasi-Brittle Materials Using Radial Basis Function Networks , 2008 .

[17]  John A. Nairn,et al.  Material Point Method Calculations with Explicit Cracks , 2003 .

[18]  Rebecca M. Brannon,et al.  An evaluation of the MPM for simulating dynamic failure with damage diffusion , 2002 .

[19]  N. S. Ottosen,et al.  Properties of discontinuous bifurcation solutions in elasto-plasticity , 1991 .

[20]  Kaspar Willam,et al.  Localized failure analysis in elastoplastic Cosserat continua , 1998 .

[21]  D. Sulsky.  Erratum: Application of a particle-in-cell method to solid mechanics , 1995 .

[22]  Zvi Rosenberg,et al.  High‐speed photography of compressive failure waves in glasses , 1995 .

[23]  Mark A Fleming,et al.  Meshless methods: An overview and recent developments , 1996 .

[24]  Zdenek P. Bazant,et al.  Scaling of Structural Failure , 1997 .

[25]  G. Kanel,et al.  THE FAILURE WAVES AND SPALLATIONS IN HOMOGENEOUS BRITTLE MATERIALS , 1992 .

[26]  E. P. Chen,et al.  Simulation of Dynamic Failure Evolution in Brittle Solids without Using Nonlocal Terms in the Strain-Stress Space , 2000 .

[27]  Zhen Chen,et al.  Continuous and Discontinuous Failure Modes , 1996 .

[28]  Satya N. Atluri,et al.  A New Implementation of the Meshless Finite Volume Method, Through the MLPG "Mixed" Approach , 2004 .

[29]  L. M. Taylor,et al.  Microcrack-induced damage accumulation in brittle rock under dynamic loading , 1986 .

[30]  S. Bardenhagen,et al.  The Generalized Interpolation Material Point Method , 2004 .

[31]  Zhen Chen,et al.  A computational model for impact failure with shear‐induced dilatancy , 2003 .

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