A 3D distinct lattice spring model for elasticity and dynamic failure

Gao‐Feng Zhao; Jiannong Fang; Jian Zhao

doi:10.1002/nag.930

journal article May 04, 2011

A 3D distinct lattice spring model for elasticity and dynamic failure

Gao‐Feng Zhao

Jiannong Fang Jian Zhao

International Journal for Numerical and Analytical Methods in Geomechanics Vol. 35 No. 8 pp. 859-885 · Wiley

View at Publisher Save 10.1002/nag.930

Abstract

AbstractA 3D distinct lattice spring model (DLSM) is proposed where matter is discretized into individual particles linked by springs. The presented model is different from the conventional lattice spring models where a shear spring is introduced to model the multibody force by evaluating the spring deformation from the local strain rather than the particle displacement. By doing this, the proposed model can represent the diversity of Poisson's ratio without violating the rotational invariance. The local strain of the spring is calculated through a least square method which makes the model possessing meshless properties. Because of this and explicitly representing the microstructure, DLSM is able to model dynamic fracturing problems and can be used to study the microstructure influences. The material parameters inputted in the model is the conventional material parameters, e.g. the elastic modules and the Poisson's ratio. Relationships between microscopic spring parameters and macroscopic material constants are derived based on the Cauchy–Born rules and the hyperelastic theory. Numerical examples are presented to show the abilities and properties of DLSM in modeling elastic and dynamic failure problems. Copyright © 2010 John Wiley & Sons, Ltd.

Topics

No keywords indexed for this article. Browse by subject →

References

36

[1]

10.1061/(asce)0733-9399(1990)116:8(1686)

[2]

10.1115/1.1432990

[3]

10.1088/0965-0393/9/6/302

[4]

10.1016/s0013-7944(97)00046-5

[5]

10.1103/physrevb.37.5500

[6]

10.1111/j.1151-2916.1988.tb05055.x

[7]

10.2514/3.7581

[8]

10.1111/j.1365-246x.1995.tb06838.x

[9]

10.1016/0029-5493(78)90217-0

[10]

10.1061/(asce)0733-9399(1987)113:11(1619)

[11]

10.1002/nme.99

[12]

10.1061/(asce)0733-9399(2003)129:12(1439)

[13]

10.1016/s0013-7944(02)00158-3

[14]

10.1016/s0013-7944(97)00010-6

[15]

10.1016/s0013-7944(03)00004-3

[16]

10.1016/j.tafmec.2007.08.008

[17]

10.1103/physrevb.39.9273

[18]

Caldarelli G "Criticality in models for fracture in disordered media" Physica A: Statistical Mechanics and its Applications (1999) 10.1016/s0378-4371(99)00145-4

[19]

Parisi A "Self‐affine properties of fractures in brittle materials" Physica A: Statistical Mechanics and its Applications (2000) 10.1016/s0378-4371(99)00633-0

[20]

Ostoja‐Starzewski M "Spring network models in elasticity and fracture of composites and polycrystals" Computational Materials Science (1996) 10.1016/s0927-0256(96)00064-x

[21]

10.1088/0965-0393/2/1/004

[22]

A discrete numerical model for granular assemblies

P. A. Cundall, O. D. L. Strack

Géotechnique 10.1680/geot.1979.29.1.47

[23]

10.1002/nme.1092

[24]

10.1680/iicep.1966.8604

[25]

10.1016/j.ijimpeng.2009.04.010

[26]

10.1016/j.tafmec.2005.03.005

[27]

ZhaoGF.A microstructure based model for rock materials. Proceedings of 1st EPFL Doctoral Conference in Mechanics Advances in Modern Aspects of Mechanics 2010;37–40.

[28]

10.1080/01418619608243000

[29]

Marsden JE (1983)

[30]

A bonded-particle model for rock

D.O. Potyondy, P.A. Cundall

International Journal of Rock Mechanics and Mining... 10.1016/j.ijrmms.2004.09.011

[31]

10.1038/35069035

[32]

10.1002/nme.99

[33]

10.1016/s0148-9062(97)00322-7

[34]

10.1016/j.ijrmms.2005.06.008

[35]

Rinehart JS (1965)

[36]

10.1016/s0167-6636(00)00035-1

Cited By

291

Experimental and numerical research on the failure pattern and mechanisms of granite disc with a pre-crack after heating and liquid nitrogen cooling

Yuliang Zhang, Guowei Ma · 2024

International Journal of Rock Mecha...

Mesomechanism of the dynamic tensile fracture and fragmentation behaviour of concrete with heterogeneous mesostructure

Zhijun Wu, Wenjun Cui · 2019

Construction and Building Materials

A new 2D discrete model applied to dynamic crack propagation in brittle materials

M. Braun, J. Fernández-Sáez · 2014

International Journal of Solids and...

Metrics

291

Citations

36

References

Details

Published: May 04, 2011
Vol/Issue: 35(8)
Pages: 859-885
License: View

Authors

G

Gao‐Feng Zhao

School of Civil Engineering Tianjin University Tianjin China

Division of Molecular Biology of the Cell II, German Cancer Research Center, Im Neuenheimer Feld 280 D‐69120 Heidelberg Germany

Cite This Article

Gao‐Feng Zhao, Jiannong Fang, Jian Zhao (2011). A 3D distinct lattice spring model for elasticity and dynamic failure. International Journal for Numerical and Analytical Methods in Geomechanics, 35(8), 859-885. https://doi.org/10.1002/nag.930

A 3D distinct lattice spring model for elasticity and dynamic failure

You May Also Like