Crack Settings

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These command control modeling of explicit cracks and whether or not those cracks propagate

Introduction

The extension of MPM to model explicit cracks is called CRAMP. It is described first in a paper by Nairn (2003).[1]. Some other papers discussion calculation of J integral and stress intensity factor,[2], propose energy balance propagation,[3] cracks in 3D (although not currently available in NairnMPM,[4], use of cracks as imperfect interfaces,[5], and the use of traction laws with cracks.[6] Some applications of using cracks in MPM include wood fracture,Cite error: Closing </ref> missing for <ref> tag. simulation of dynamic fracture,[7], simulation of crack growth with fiber bridging.[8]

Crack Settings Commands

In scripted files, crack properties are controlled by these possible commands

(Crack Propagation Commands)
Friction
Imperfect Interface
JContour
ContactPosition
MovePlane

In XML input file, all global crack setting commands are within a <Cracks> element that must be within the <MPMHeader>:

<Cracks>
  (Crack Propagation Commands)
  <Friction>0.3</Friction>
  <JContour type='1' size="2" terms="1"/>
  <ContactPosition>0.8</ContactPosition>
  <MovePlane type='avg' prevent='no'/>

</Cracks>

The Crack Propagation Commands are described in a separate help top. The other commands are describe in the following sections.

Crack Contact Properties

J Integral Contour Settings

Crack ContactPosition Command

Crack Plane Updating

Notes

References

  1. J. A. Nairn, "Material Point Method Calculations with Explicit Cracks," Computer Modeling in Engineering & Sciences, 4, 649-664 (2003). (See PDF)
  2. Y. Guo and J. A. Nairn, "Calculation of J-Integral and Stress Intensity Factors using the Material Point Method," Computer Modeling in Engineering & Sciences, 6, 295-308 (2004). (See PDF)
  3. J. A. Nairn, "Simulation of Crack Growth in Ductile Materials,"; Engr. Fract. Mech., 72, 961-979 (2005). (See PDF).
  4. Y. Guo and J. A. Nairn, "Three-Dimensional Dynamic Fracture Analysis Using the Material Point Method," Computer Modeling in Eng. & Sci., 16, 141-156 (2006). (See PDF).
  5. J. A. Nairn, "Numerical Implementation of Imperfect Interfaces, Computational Materials Science, 40, 525-536 (2007). (See PDF).
  6. J. A. Nairn, "Analytical and Numerical Modeling of R Curves for Cracks with Bridging Zones," Int. J. Fracture, 155, 167-181 (2009). (See PDF)
  7. S. G. Bardenhagen, J.A. Nairn, and H. Lu, "Simulation of dynamic fracture with the Material Point Method using a mixed J-integral and cohesive law approach," Int. J. Fracture, 170, 49-66 (2011).
  8. N. Matsumoto and J.A. Nairn, "Fracture Toughness of Wood and Wood Composites During Crack Propagation," Wood and Fiber Science, in press (2012). (See PDF)