Dynamic Fracture Mechanics
Covering a wide variety of topics in dynamic fracture mechanics, this volume presents state-of-the-art experimental techniques and theoretical analysis on dynamic fracture in standard and exotic materials.
TABLE OF CONTENTS Dynamic Fracture Mechanics
Chapter 1: Modeling Dynamic Fracture Using Large-Scale Atomistic Simulations
Markus J. Buehler,
Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 77 Massachusetts Avenue Room 1-272,
Max Planck Institute for Metals Research Heisenbergstrasse 3,
Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 77 Massachusetts Avenue Room 1-272,
Cambridge,, MA., 02139,. USA mbuehler@MIT.EDU
Huajian Gao, Max Planck Institute for Metals Research Heisenbergstrasse 3,
D-70569. Stuttgart, Germany
We review a series of large-scale molecular dynamics studies of dynamic fracture in brittle materials, aiming to clarify questions such as the limiting speed of cracks, crack tip instabilities and crack dynamics at interfaces. This chapter includes a brief introduction of atomistic modeling techniques and a short review of important continuum mechanics concepts of fracture. We find that hyperelasticity, the elasticity of large strains, can play a governing role in dynamic fracture. In particular, hyperelastic deformation near a crack tip provides explanations for a number of phenomena including the "mirror-mist-hackle" instability widely observed in experiments as well as supersonic crack propagation in elastically stiffening materials. We also find that crack propagation along interfaces between dissimilar materials can be dramatically different from that in homogeneous materials, exhibiting various discontinuous transition mechanisms (mother-daughter and mother-daughter-granddaughter) to different admissible velocity regimes.
1 Introduction
Why and how cracks spread in brittle materials is of essential interest to numerous scientific disciplines and technological applications [1-3]. Large-scale molecular dynamics (MD) simulation [4-13] is becoming an increasingly useful tool to investigate some of the most fundamental aspects of dynamic fracture [14-20]. Studying rapidly propagating cracks using atomistic methods is particularly attractive, because cracks propagate at speeds of kilometers per second, corresponding to time-and length scales of nanometers per picoseconds...
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