AUTHORS: Martin Hušek, Filip Hokeš, Jiří Kala, Petr Král

Download as PDF

ABSTRACT: The complexity of numerical simulations is increasing alongside the growing need to capture the behaviour of real-world processes as well as possible. A frequent problem is the inclusion of the randomness factor in numerical simulations in order to better reflect the results of experiments. In cases when the material used in experiments shows signs of heterogeneity, it is also advisable to introduce it in the numerical model. The inclusion of heterogeneity can take place in several ways, though this of course always depends on the numerical method chosen. This contribution describes a procedure which can be used to implement material heterogeneity within the numerical code of the Smoothed Particle Hydrodynamics (SPH) method. The whole algorithm is explained using the example of a cylindrical concrete body striking a solid base. Aspects which need to be maintained to ensure algorithm functionality are described, too. As it is relatively difficult to implement the initial singularities of the crack type into the SPH method, a procedure is described at the end of the article which can be used to implement initial cracks to simulations using a described algorithm. The results of the simulations show that the described algorithms can be used successfully.

KEYWORDS: Heterogeneity, Smoothed Particle Hydrodynamics, support domain, fracture, randomness, concrete

REFERENCES:

[1] Z. Kala, Sensitivity and Reliability Analyses of Lateral-torsional Buckling Resistance of Steel Beams, Archives of Civil and Mechanical Engineering, vol. 15, no. 4, 2015, pp. 1098- 1107.

[2] Z. Kala, Influence of Partial Safety Factors on Design Reliability of Steel Structures - Probability and Fuzzy Probability Assessments, Journal of Civil Engineering and Management, vol. 13, no. 4, 2007, pp. 291-296.

[3] Z. Kala, J. Kala, M. Skaloud, B. Teply, Sensitivity Analysis of the Effect of Initial Imperfections on the (I) Ultimate Load and (II) Fatigue Behaviour of Steel Plate Girders, Journal of Civil Engineering and Management, vol. 11, no. 2, 2005, pp. 99-107.

[4] J. Kralik, Safety of Nuclear Power Plants under the Aircraft Attack, Applied Mechanics and Materials, vol. 617, 2014, pp. 76-80.

[5] J. Kralik, M. Baran, Numerical Analysis of the Exterior Explosion Effects on the Buildings with Barriers, Applied Mechanics and Materials, vol. 390, 2013, pp. 230-234.

[6] J. Kralik, Optimal Design of NPP Containment Protection Against Fuel Container Drop, Advanced Materials Research, vol. 688, 2013, pp. 213-221.

[7] P. Kral, J. Kala, P. Hradil, Verification of the Elasto-Plastic Behavior of Nonlinear Concrete Material Models, International Journal of Mechanics, vol. 10, 2016, pp. 175-181.

[8] J. Kala, M. Husek, Useful Material Models of Concrete when High Speed Penetrating Fragments are Involved, Proceedings of the 9th International Conference on Continuum Mechanics, vol. 15, 2015, pp. 182-185.

[9] F. Hokes, J. Kala, O. Krnavek, Nonlinear Numerical Simulation of a Fracture Test with Use of Optimization for Identification of Material Parameters, International Journal of Mechanics, vol. 10, 2016, pp. 159-166.

[10] J. Kala, P. Hradil, M. Bajer, Reinforced concrete wall under shear load – Experimental and nonlinear simulation, International Journal of Mechanics, vol. 9, 2015, pp. 206-212.

[11] J. Kala, M. Husek, High Speed Loading of Concrete Constructions with Transformation of Eroded Mass into the SPH, International Journal of Mechanics, vol. 10, 2016, pp. 145- 150.

[12] J. Kala, M. Husek, Improved Element Erosion Function for Concrete-Like Materials with the SPH Method, Shock and Vibration, vol. 2016, 2016, pp. 1-13.

[13] G. R. Liu, M. B. Liu, Smoothed Particle Hydrodynamics: a meshfree particle method, World Scientific Publishing Co. Pte. Ltd, 2003.

[14] W. Benz, Smoothed particle hydrodynamics: a review, NATO Workshop, Les, Arcs, France; 1989.

[15] Livermore Software Technology Corporation (LSTC), LS-DYNA Theory Manual, LSTC, Livermore, California, USA, 2016.

[16] Y. D. Murray, User’s manual for LS-DYNA concrete material model 159, FHWA-HRT-05- 062, 2007.

[17] Y. D. Murray, A. Abu-Odeh, R. Bligh, Evaluation of concrete material model 159, FHWA-HRT-05-063, 2006.

[18] M. Husek, J. Kala, P. Kral, F. Hokes, Effect of the Support Domain Size in SPH Fracture Simulations, International Journal of Mechanics, vol. 10, 2016, pp. 396-402.