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Material properties: Young’s modulus =5.0×107, Poisson ratio =0.2, no friction between the blocks.
Acknowledgements This work was financially supported by the Zhe Jiang provincial Natural Science Foundation of China through contract no.
Y1111133 and Ningbo Natural Science Foundation (Grant No. 2013A610195).
International Journal of Solids and Structures, 32(1995) 2547±70
International Journal for Numerical Methods in Engineering 54(6) (2002) 923–944 [4].

Introduction Soil is the most fundamental material in civil engineering, and it is composed of solid, liquid and gas.
Acknowledgement This work was financially supported by Department of Science & Technology of Shandong Province, China (grant No. 2008Y008).
[2]Peng, L.Y., Liu, J.K., Xiao, J.H., Chen, L.H., Zhu, R.L.: Journal of Beijing Jiaotong University.
[6]Tang, F., Ye, S.Q., Chen, H.K.: Chinese Journal of Underground Space and Engineering.
[9]Erguler, Z.A., Ulusay, R.: International Journal of Rock Mechanics & Mining Sciences.

Therefore, often configure great Ri values amplifier (this system chooses INA102 amplifier), for the insulation resistance Ra of piezoelectric element depends on piezoelectric materials.
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[4] Gaizhi Guo, Tie Yong, in: Journal of InnerMongolia University (in Chinese), Vol.39 (2008), p. 672-675

Muralidhara Rao, Performance and Exhaust Emissions of a Diesel Engine Using Methyl Esters of Fish Oil with Artificial Neural Network Aid, International Journal of Engineering and Technology (IJET). 2(1) (2010) 23-27
Muralidhara Rao, Combustion, Performance and Emission Analysis of Diesel Engine Fuelled with Methyl Esters of Ground Nut Oil, International Journal of Materials Science. 5 (2) (2010) 233–243
Muralidhara Rao, Combustion, Performance and Emission Analysis of Diesel Engine Fuelled with Methyl Esters of Fish Oil, International Journal of Science and Technology (IJST). 1 (2011) 32-37
Hari Prasad, Ananda Kumar Eriki, Fatty Acids Content from Several Microalgae Strains for Biodiesel Fuel, International Journal of Mechanical Computational and Manufacturing Research. 2 (2013) 28 -32.

Introduction Size effect is the basic characteristics of brittle materials and quasi-brittle materials.
Bažant and et al. [1] proposed some theories about size effect of brittle materials strength, and pointed out that size effect exist in the studying mechanics property of brittle materials by discrete element method (DEM).
DEM has its own advantage in simulation the mechanics property of brittle materials that can simulate the large deformation and the formation and propagation of cracks [3].
Acknowledgment The research was supported by Natural Science Foundation Project of CQ CSTC (cstc2011jjA00004).
Molecular dynamics analysis for fracture behavior of single crystal silicon thin film with micronotch [J].Modeling and Simulation in Materials Science and Engineering, 2006, 14(2): 73-83

Materials and methods A.
Material properties.
Acknowledgment The authors wish to thank the substantial support from the Doctoral Research Fund of the Southwest University of Science and Technology (No. 10zx7145).
Influence of the textilestructure on the degradation of explanted aortic endoprostheses［J］.European Journal of Vascular and Endovascular Surgery, 2004，27:33-41
[5] King MW，Marois Y，Guidoin R，et al.Evaluating the Dialine vascular prosthesis knitted from an alternative source of polyesteryarns［J］.Journal of Biomedical Materials Research, 1995, 29:595-610

We were able to find the appropriate values of the geometrical and mechanical properties of the materials used in patch repairing.
Elsevier Applied Sciences Publishers Ltd.
Vol. 196, no1-3, pp. 466-475, 2006 [8] George J,Tsamasphiros Applied Composite Materials Volume 10,Number 3.
Megueni , Optimisation of Composite Patches Repairs With the Design of Experiments Method, Materials and Design 30 (2009) 200-205
Journal Solid Structure . 1981

Among them, the ceramic is the most used because its simplicity, but has disadvantage of producing very heterogeneous materials with low surface area [3].
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Melo: Materials Letters Vol. 64 (2010), p. 2700

Moreover, it has been widely used as high-performance structural material, multifunctional material, information material, biomedical material, catalyst, and so on [2-7].
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Lee,et a1.Fabrication of MWNTs/nylon conductive composite nanofibers by electrospinning[J] Diamond& Related Materials 2006(15)：1839一l843.

It tells us that material with small size has relatively good level, relatively large density, its strength is relatively high.
Level of shear strength for the 3 groups of sand is as follows: less than 0.225mm sand > greater than 0.335mm sand > 0.225-0.335mm sand, material with small particle size has relatively good group, relatively large density and relatively higher strength.
(2) Level of shear strength for the 3 groups of sand is as follows: less than 0.225mm sand > greater than 0.335mm sand > 0.225-0.335mm sand, material with small particle size has relatively good group, relatively large density and relatively higher strength
Acknowledgements This work was financially supported by Natural Science Foundation of China (50974117) and State Key Laboratory for GeoMechanics and Deep Underground Engineering (CUMT).
Comprehensive study on the characteristic of saturated clay under variable stress level (PhD thesis of China University of Mining and Technology, Xuzhou 2009) (In Chinese) [4] Xiaofeng Zhang, Juyun Yuan: submitted to Geotechnical Engineering Technique (2007) (In Chinese) [5] Dezhi, Jungao Zhu: submitted to Rock and Soil Mechanics (2004) [6] Mizyal Izgin, Yildiz Wasti: submitted to Geotextiles and Geomembranes (1998) [7] Jiaming Zhang, Guosheng Jiang, Ren Wang: submitted to Rock and Soil Mechanics (2009) (In Chinese) [8] Mingjie Chi, Chenggang Zhao: submitted to Journal of Beijing Jiaotong University (2008) (In Chinese) [9] Haizhong Sun, Maosong Huang: submitted to Journal of Tongji University (Natural Science) (2009) (In Chinese) [10] Guangsi Zhao, Guoqing Zhou, Fengban Zhu: submitted to Journal of CUMT (2008) (In Chinese) [11] Ga Zhang, Jianmin Zhang: submitted to Chinese Journal of Geotechnical Engineering (2005) (In Chinese)