*MAT_MOHR_COULOMB model

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chunyangcsu

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Mar 18, 2022, 11:08:17 PM3/18/22
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Dear all,

Hope you are doing well.
Could someone tell me some details about *MAT_MOHR_COULOMB material model in LS-DYNA ?
Damage isn't considered in this model, right? 
Associate flow rule or non-associate flow rule?
I couldn't find any description in the user manual or theory manual.
Thank you in advance.
Sincerely
CY

James M. Kennedy

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Mar 20, 2022, 11:48:07 AM3/20/22
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Dear CY,

 

See if this is of some help:

 

This thesis was a numerical study into the effects of explosion on embankment dams using the high fidelity physics based finite element package, LS-DYNA. A numerical model was developed in LS-DYNA and validated using field testing. *MAT_016 and *MAT_173 (data included) were evaluated and compared in the modeling for the soil embankment. In modelling the explosive, the keyword that was used was the *HIGH_EXPLOSIVE_BURN with the Jones-Wilkins-Lee Equation of State (EOS). The explosive charge masses used in the experiments were 25 kg, 50 kg and 100 kg of Ammonium Nitrate Fuel Oil (ANFO). The *MAT_HIGH_EXPLOSIVE_BURN allowed for a point of detonation to be selected and also for a time of detonation to be specified. A mesh sensitivity was also made for the 50 kg mass charge of ANFO:

 

Afriyie, G.A., "Effects of Explosions on Embankment Dams", Master’s Thesis, Department of Civil Engineering, Carleton University, Ottawa, Ontario, Canada, 2014.

 

https://curve.carleton.ca/system/files/etd/f16a8296-d6ca-45bc-8881-a1cceefdf015/etd_pdf/f7ca380e31fe5b96e5035d2e447f5fbb/afriyie-effectsofexplosionsonembankmentdams.pdf

 

*MAT_159 was used to represent the shotcrete seal component while *MAT_173 was used to represent the coal roof, coal floor and coal ribs components in a coal mine explosive simulation (following two papers):

 

Mutton, V.S., and Remennikov, A.M. "Designing Explosion Rated Ventilation Seals for Coal Mines Using High-Fidelity Physics-Based Computer Modelling", 10th Underground Coal Operators' Conference, Paper 313, pp. 312-325, Wollongong, New South Wales, Australia, February, 2010.

 

http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1974&context=coal

 

Remennikov, A.M., and Mutton, V.S., "High-Fidelity Physics-Based Modelling of Explosion Seals for Coal Mines", The 5th Civil Engineering Conference in the Asian Region and Australasian Structural Engineering Conference, Sydney, Australia, August, 2010.

 

http://mail.poly.ac.mw/cesar/Full%20Papers/320.pdf

 

This thesis aimed to compare the high-pressure, quasi-static compaction behaviour of sandy soils, and to investigate how this behaviour was affected by changes in strain rate and moisture content. LS-DYNA soil material models *MAT_005. *MAT_016, *MAT_025, *MAT_079, and *MAT_173 (data included) were validated using SHPB experiments and evaluated for sandy soils. None were found to be fully acceptable for this study:

 

Mohr–Coulomb (MAT_173) A Mohr–Coloumb yield surface defined using a value for cohesion and angle of friction. The dilation angle is used to define a nonassociated flow rule, and both φ and ψ can vary with plastic strain.

 

Barr, A., "Strain-Rate Effects in Quartz Sand", Ph.D. Thesis, Department of Civil and Structural Engineering, University of Sheffield, Sheffield, England, United Kingdom, August, 2016.

 

http://etheses.whiterose.ac.uk/15989/1/Barr%20A%20D%20%282016%29%20-%20Strain-rate%20effects%20in%20quartz%20sand.pdf

 

The soil behaviour (data included) was modelled using the Mohr-Coulomb model (*MAT_173):

 

Burggraaf, H.G., Vervuurt, A.H.J.M., and Weerheijm, J., "Full System Response Thomassen Tunnel under Impact Load Using LS-DYNA (Concept Version 3)", External TNO Report, Delft Cluster, December, 2009.

 

http://repository.tudelft.nl/view/ir/uuid:38455304-7713-478c-837b-815424cdd257/

 

It was attempted within this research to study numerically the response of a typical rock, namely “Pietra Serena” sandstone, under unconfined compression test. As an affordable and alternative to expensive field testing the automatic input generator material keyword, K&C (*MAT_072R3), was used. In order to study this model’s capabilities and limitations, it was compared the conventional Mohr-Coulomb (*MAT_173) model:

 

Mardalizad, A., Manes, A., and Giglo, M., "An Investigation in Constitutive Models for Damage Simulation of Rock Material", AIAS 2016-685, 45th Convegno Nazionale, Società Scientifica Italiana di Progettazione Meccanica e Costruzione di Macchine, Trieste, Italy, September, 2016.

 

https://www.researchgate.net/publication/308304888_AN_INVESTIGATION_IN_CONSTITUTIVE_MODELS_FOR_DAMAGE_SIMULATION_OF_ROCK_MATERIAL

 

Sincerely,

James M. Kennedy

KBS2 Inc.

March 20, 2022

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James M. Kennedy

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Mar 20, 2022, 11:55:59 AM3/20/22
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p.s. Further details of Mohr Coulomb

 

Abbo, A.J., and Sloan, S.W., "A Smooth Hyperbolic Approximation to the Mohr-Coulomb Yield Criterion", Journal of Computers and Structures, Vol. 54, Issue 3, pp. 427-441, February, 1995.

 

http://www.newcastle.edu.au/Resources/Research%20Centres/CGMM/Publications/Scott%20Sloan/A%20smooth%20hyperbolic%20approximation%20to%20the%20Mohr-Coulomb%20yield%20criterion.pdf

 

Lewis, B.A., "Developing and Implementing a Road Side Safety Soil Model into LS-DYNA", Federal Highway Administration, Turner-Fairbank Highway Research Center, McLean, Virginia, 1999.

Evaluation and users manuals funded by FHWA for *MAT_147:

 

Reid, J.D., Coon, B.A., Lewis, B.A., Sutherland, S.H., and Murray, Y.D., "Evaluation of LS-DYNA Soil Material Model 147", FHWA-HRT-04-094, Federal Highway Administration, Turner-Fairbank Highway Research Center, McLean, Virginia, November 2004.

 

http://www.fhwa.dot.gov/publications/research/safety/04094/

http://www.fhwa.dot.gov/publications/research/safety/04094/04094.pdf

James M. Kennedy

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Mar 21, 2022, 10:49:40 AM3/21/22
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