3D Lattice Fracture Model: Theory and Computer Implementation

Article Preview

Abstract:

The lattice fracture model is presented in this paper, which is intended to simulate the fracture processes in multiphase materials to obtain the mechanical behavior in terms of load-displacement diagram and the cracks propagation. The basic procedures of lattice fracture analysis is that imposing a prescribed displacement on a lattice structure, finding the critical lattice element with the highest stress/strength ratio, removing it from the system and repeating until the system fails globally. One of the challenges in computer implementation of 3D lattice fracture model is the huge demand for computer memory. Matrix free technique is adopted to solve this problem.

You might also be interested in these eBooks

Info:

Periodical:

Key Engineering Materials (Volumes 452-453)

Pages:

69-72

Citation:

Online since:

November 2010

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] N.J. Burt and J.W. Dougill, Progressive Failure in a Model Heterogeneous Medium, Journal of the Engineering Mechanics Division, ASCE, 103(3), 365-376 (1977).

DOI: 10.1061/jmcea3.0002234

Google Scholar

[2] E. Schlangen and J.G.M. van Mier, Experimental and Numerical Analysis of Micromechanisms of Fracture of Cement-based Composites, Cement and Concrete Composites, 14, 105-118 (1992).

DOI: 10.1016/0958-9465(92)90004-f

Google Scholar

[3] Z. Qian, E. Schlangen, G. Ye and K. van Breugel, Prediction of Mechanical Properties of Cement Paste at Microscale, Materiales de Construcción, 60(297), 1-12 (2010).

DOI: 10.3989/mc.2010.55209

Google Scholar

[4] E. Schlangen and Z. Qian, 3D Modeling of Fracture in Cement-based Materials, Journal of Multiscale Modelling, 1(2), 245-261 (2009).

DOI: 10.1142/s1756973709000116

Google Scholar

[5] E. Schlangen and E.J. Garboczi, Fracture Simulations of Concrete using Lattice Models: Computational Aspects, Engineering Fracture Mechanics, 57(2/3), 319-332 (1997).

DOI: 10.1016/s0013-7944(97)00010-6

Google Scholar

[6] Z. Qian, E. Schlangen, G. Ye and K. van Breugel, Parallel Implementation of Threedimensional Lattice Fracture Analysis on a Distributed Memory Architecture, in Proceedings of PARENG2009, Pecs, Hungary, April (2009).

DOI: 10.4203/ccp.90.34

Google Scholar

[7] E. Schlangen, Experimental and Numerical Analysis of Fracture Processes in Concrete, PhD Thesis, Delft University of Technology, Delft (1993).

Google Scholar

[8] J.E. Bolander and N. Sukumar, Irregular Lattice Model for Quasistatic Crack Propagation, Physical Review B, 71: 094106.

DOI: 10.1103/physrevb.71.094106

Google Scholar