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Concrete can be classified as quasi-brittle materials which is the same as ceramics, rocks, some polymers, mortar and wood [4].
It can also be considered as a heterogeneous and multiphase materials [4].
Sagar, Relationship between AE Energy and Fracture Energy of Plain Concrete Beams: Experimental Study, Journal of Materials in Civil Engineering (2008), p. 212-220
Xiangqian, The Fracture of Concrete Based on Acoustic Emission, Applied Mechanics and Materials, vol. 80-81 (2011), p. 261-265
Slowik, Numerical analysis of the width of fracture process zone in concrete beams, Computational Materials Science (2011) p. 1347-1352

International Journal of Geographic Information Sciences. 14,153(2000)
International Journal of Geographic Information Systems. 8, 271(1994)
International Journal of Remote Sensing. 13, 263(2002)
Journal of the Indian Society of Remote Sensing.31, 283(2003)
Science in China (Series D).47, 201(2004)

Due to these exceptional attributes, graphene offers vast potential for a various of applications, attracting researchers from disciplines such as materials science, physics, biology, and chemistry[25–27].
Liu, Graphene: Two decades of revolutionizing material science, TIMS 2 (2024) 100059–2
Akan, Graphene and related materials for the Internet of Bio-Nano Things, APL Materials 11 (2023) 080901
Monteiro, Reduced graphene oxide synthesized by a new modified Hummer’s method for enhancing thermal and crystallinity properties of Poly(vinylidene fluoride), Journal of Materials Research and Technology 18 (2022) 4871–4893
Astruc, Recent developments of metallic nanoparticle-graphene nanocatalysts, Progress in Materials Science 94 (2018) 306–383

Conclusion The MC simulation is a powerful tool for science and engineering application.
Review of Monte Carlo applications in proton cancer therapy, Proc.American Nuclear Society's 14th Biennial Topical Meeting of the Radiation Protection and Shielding Division, American Nuclear Society,April 2006,249-251 [6] Lin Chih-Young, Huang Wei-Hsin, Jeng Ming-Chang and Doong Ji-Liang.Study of an assembly tolerance allocation model based on Monte Carlo simulation, Journal of Materials Processing Technology, 1997, Vol.70, No.1-3, pp.9-16 [7] Wu Fangcai, Dantan Jean-Yves, Etienne Alain, Siadat Ali and Martin Patrick.Improved algorithm for tolerance allocation based on Monte Carlo simulation and discrete optimization,Computers and Industrial Engineering,May 2009, Vol.56, No.4, pp.1402-1413 [8]Wang Taiyong, Xiong Yuedong, Lu Shizhong and GUO Xiaojun.Application of Monte Carlo Method to Dimension and Tolerance Design, Transactions of the Chinese Society for Agricultural Machinery, May 2005, Vol. 36, No.5, pp.101-104 [9] Corlew Gordon T. and Oakland Fred.
Reliability design of gears based on Monte Carlo method, Applied Science and Technology, August 2007, Vol.34, No.8, pp.42-44 [15] Guo Yuan-jian, Li Qiang and Zheng Zhao-hui.
Sensitivity analysis of spindle platform structure parameters of a series-parallel robot, Journal of Jiaozuo Institute of Technology (Natural Science), November 2004, Vol. 23, No.6, pp. 495-463 [19] LU Chun-mei, XIE Li-yang, HUANG Yong-gang and DU Yong-ying.
Principle and realization for generating data sequence with errors, Journal of Henan Polytechnic University(Natural Science), October 2007, vol.27, No.5, pp.560-564

Experimental Raw materials: magnesium phosphate cement (MPC-I, prepared by Department of Chemical & Materials Engineering, Logistical Engineering University.), standard sand, running water (0).
So how to improve the compressive strength of this materials at sub-zero temperature should be further studied.
Zhang: Journal of Wuhan University of Tech.
Liu: Journal of Shenyang Jianzhu University (Natural Science).
Materials Review.

Klepaczko, Crack Dynamics in Metallic Materials, 1990
Kron, Theory of hot crack formation, Materials Science and Technology. 21(5) (2005) 521-530
Tubol'tseva, Calculation of Impeded Shrinkage Casting Processes in Sand Layer, Materials Science Forum, 870 (2016) 516-522
Olusegun, Measuring the stress, strain and strain-rate in heat treated medium carbon steel samples and finding the constituted material related properties, African Journal of Mathematics and Computer Science Research, 3 (2010) 038-048
Fedik, Thermal stress resistance of materials, 2008

Approaches to the description of destruction of materials and used at this criterion are considered.
This approach was spread for construction of models of polymeric materials [28].
The accounting of memory and fractal properties of real materials at mesolevel.
Tyagel’sky, Journal de Physique, coll.C3 (1991) p.
M, Science, (1978) p. 304

Materials and Methods Sand box condition.
[7] ADDISCOTT T M, WACENET R J ,Concept of Solute Leaching in soil:A Review of Modeling Approaches,Journal of Soil Science. 36(1985)401-411
[17] PACHEPSKY Y A,CRAWFORD J W ,RAWLS W J.Fractal in Soil Science,Geoderma, 88（1999）137-164
[18] LAPIDUS L,AMUNDSON N R,Mathematics of Adsorption in Beds,Journal of Physical Chemistry ,56(1952)984-988
[20] LAPIDUS L,AMUNDSON N R.Mathematics of Adsorption in Beds,Journal of Physical Chemistry ,56(1952)984-988.

Journal of Manufacturing Science and Engineering, Transactions of the ASME, 2007,129(6):991–999
Computational Materials Science, 2007, 39(2): 416–423
Welding Journal, 1993, 72: 269-278
Welding Journal, 2008, 87: 11-17
Welding Journal, 2008, 87: 44-50.

Experimental Procedure Materials.
In Applied Mechanics and Materials (Vol. 315, pp. 728-732).
Journal of Materials Processing Technology, 92, 35-41
Journal of Materials Research and Technology
Volinsky, “Materials Science & Engineering A Aluminum powder size and microstructure effects on properties of boron nitride reinforced aluminum matrix composites fabricated by semi-solid powder metallurgy,” vol. 646, pp. 306–314, 2015