Please wait a minute...
Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

Postal Subscription Code 80-968

2018 Impact Factor: 1.272

Front Struc Civil Eng    2013, Vol. 7 Issue (4) : 391-401    https://doi.org/10.1007/s11709-013-0225-7
RESEARCH ARTICLE
Determination of mechanical parameters for elements in meso-mechanical models of concrete
Xianglin GU(), Junyu JIA, Zhuolin WANG, Li HONG, Feng LIN
Department of Building Engineering, Tongji University, Shanghai 200092, China
 Download: PDF(497 KB)   HTML
 Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

The responses of cement mortar specimens of different dimensions under compression and tension were calculated based on the discrete element method with the modified-rigid-body-spring concrete model, in which the mechanical parameters derived from macro-scale material tests were applied directly to the mortar elements. By comparing the calculated results with those predicted by the Carpinteri and Weibull size effects laws, a series of formulas to convert the macro-scale mechanical parameters of mortar and interface to those at the meso-scale were proposed through a fitting analysis. Based on the proposed formulas, numerical simulation of axial compressive and tensile failure processes of concrete and cement mortar materials, respectively were conducted. The calculated results were a good match with the test results.

Keywords concrete      meso-mechanical model      discrete element method      size effect      mechanical parameter     
Corresponding Author(s): GU Xianglin,Email:gxl@tongji.edu.cn   
Issue Date: 05 December 2013
 Cite this article:   
Xianglin GU,Junyu JIA,Zhuolin WANG, et al. Determination of mechanical parameters for elements in meso-mechanical models of concrete[J]. Front Struc Civil Eng, 2013, 7(4): 391-401.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-013-0225-7
https://academic.hep.com.cn/fsce/EN/Y2013/V7/I4/391
Fig.1  Generated element mes
Fig.2  Connection of elements
Fig.3  Constitutive model for springs. (a) Normal springs; (b) shear springs
Fig.4  Constitutive model for contact springs. (a) Normal springs; (b) shear springs
StrengthgrademixtureproportionsW:C:Smacroscopic material propertiesmesoscopic material properties
elastic modulusE/(N·mm-2)poisson’s rationcompressive strength fc /(N·mm-2)tensile strengthft /(N·mm-2)elastic modulusEe/(N·mm-2)poisson’s ratioνecompressive strength fce /(N·mm-2)tensile strength fte /(N·mm-2)
M11:1.21:4.50212000.2122.82.5231340.22584.564.13
M21:1.55:3.84226000.21252.55246270.22593.014.21
M31:2.06:3.18263000.2129.93.55286590.225111.925.86
M41:2.50:2.76278000.2143.73.71302930.225165.696.12
Tab.1  Macro- and meso-scale cement mortar parameters
Fig.5  Mechanical parameters of mortar specimens of grade M1. (a) Compressive strength; (b) tensile strength
Fig.6  Comparison of compressive strengths of the test and calculation results
Fig.7  Compressive strength of cement mortar. (a) Common strength mortar; (b) high strength mortar
Fig.8  Relationship between the compressive strength of elements in the meso-scale and that of specimens in the macro-scale
Fig.9  Mechanical parameters of mortar specimens. (a) Elastic modulus; (b) poisson’s ratio
loadingsstrength gradetest results/(N·mm-2)simulated results/(N·mm-2)β1/%
uniaxial compressionM1M2M3M429.132.351.564.229.032.542.360.2-0.30.6-17.9-6.2
uniaxial tensionM1M2M3M42.52.553.553.712.682.733.893.877.27.15.44.3
Tab.2  Comparison between simulated results and test results of mortar
Fig.10  Typical axial compression stress-strain curves of cement mortar. (a) M1; (b) M2; (c) M3; (d) M4
loadingsstrength gradetest results/(N·mm-2)simulated results/(N·mm-2)β2/%
uniaxial compressionC1C2C3C420.127.930.744.320.825.329.741.03.5-9.3-3.3-7.5
uniaxial tensionC1C2C3C42.452.472.942.722.372.563.312.93-3.33.612.67.7
Tab.3  Comparison between simulated results and test results of concrete
Fig.11  Typical axial compression stress-strain curves of concrete. (a) C1; (b) C2; (c) C3; (d) C4
1 Ueda T. Prediction of structural performance during service life from microstructure. In: Workshop Proceedings—Microstructure and Durability to Predict Service Life of Concrete Structures. Hokkaido University, Sapporo, Japan , 2004: 39–48
2 Meguro K, Tagel-Din H. Applied element simulation of RC structures under cyclic loading. Journal of Structural Engineering , 2001, 127(11): 1295–1305
doi: 10.1061/(ASCE)0733-9445(2001)127:11(1295)
3 Ba?ant Z P. Chapter 3: Microplane model for strain controlled inelastic behavior. In: Desai C S, Gallagher R H, eds. Proceedings of Mechanics of Engineering Materials . London: Wiley, 1984, 45–59
4 Cusatis G, Ba?ant Z P, Cedolin L. Confinement-shear lattice model for concrete damage in tension and compression: I. Theory. Journal of Engineering Mechanics , 2003, 129(12): 1439–1448
doi: 10.1061/(ASCE)0733-9399(2003)129:12(1439)
5 Ba?ant Z P, Tabbara M R, Kazemi M T, Pijaudier-Cabot G. Random particle models for fracture of aggregate or fiber composites. Journal of Engineering Mechanics , 1990, 116(8): 1686–1709
doi: 10.1061/(ASCE)0733-9399(1990)116:8(1686)
6 Gu X L, Hong L, Wang Z L, Lin F. A modified-rigid-body-spring concrete model for prediction of initial defects and aggregates distribution effect on behavior of concrete. Computational Materials Science , 2013, 77: 355–365
doi: 10.1016/j.commatsci.2013.04.050
7 Xing J B. Introduction of Beam-Particle Model. Beijing: Earthquake Engineering Press , 1999 (in Chinese)
8 Hakuno M, Meguro K. Simulation of concrete-frame collapse due to dynamic loading. Journal of Engineering Mechanics , 1993, 119(9): 1709–1722
doi: 10.1061/(ASCE)0733-9399(1993)119:9(1709)
9 Nagai K, Sato Y, Ueda T. Mesoscopic simulation of failure of mortar and concrete by 2D RBSM. Journal of Advanced Concrete Technology , 2004, 2(3): 359–374
doi: 10.3151/jact.2.359
10 Nagai K, Sato Y, Ueda T. Three-dimensional simulation of mortar and concrete model failure in meso level by rigid body spring model. Journal of Structural and Engineering, JSCE , 2004, 50A: 167–178
11 Xing J B, Yu L Q. Study of fracture behavior in particle composites with beam-aggregate model. Journal of Basic Science and Engineering , 1997, 5(2): 193–198 (in Chinese)
12 Walraven J C, Reinhardt H W. Theory and experiments on the mechanical behavior of cracks in plain and reinforced concrete subjected to shear loading. HERON , 1981, 26(1A): 26–35
13 Fuller W B, Thompson S E. The laws of proportioning concrete. Transactions of the American Society of Civil Engineers , 1906, LVII(2): 67–143
14 Wang Z L, Gu X L, Lin F. Experimental study on failure criterion of mortar under combined stresses. Journal Building Materials , 2011, 14(4): 437–442 (in Chinese)
15 Gu X L, Hong L, Wang Z L, Lin F. Experimental study and application of mechanical properties for the interface between cobblestone aggregate and mortar in concrete. Construction & Building Materials , 2013, 46: 156–166
doi: 10.1016/j.conbuildmat.2013.04.028
16 Gopalaratnam V S, Shah S P. Softening response of plain concrete in direct tension. Journal of the American Concrete Institute , 1985, 82(3): 310–323
17 Wang Z L. Study and Application of Mesoscopic Mechanical Model of Concrete Based on the Discrete Element Method. Shanghai: Tongji University , 2009 (in Chinese)
18 Carpinteri A, Ferro G, Monetto I. Scale effects in uniaxially compressed concrete specimens. Magazine of Concrete Research , 1999, 51(3): 217–225
doi: 10.1680/macr.1999.51.3.217
19 Blanks R F, McNamara C C. Mass concrete tests in large cylinders. Journal of the American Concrete Institute , 1935, 31: 280–303
20 Xu J S, He X X. Size effect on the strength of a concrete member. Engineering Fracture Mechanics , 1990, 35(4–5): 687–695
doi: 10.1016/0013-7944(90)90151-6
21 Bocca P, Carpinteri A. Size effect in the compressive behavior of concrete. Department of Structural Engineering, Politecnico di Torino, Internal Report , 1989, No. 17
22 Weibull W. A statistical distribution function of wide applicability. Journal of Applied Mechanics. Transactions of the American Society of Civil Engineers , 1951, 18(3): 293–297
23 Zech B, Wittmann F H. A complex study on the reliability assessment of the containment of a PWR, Part II. Probabilistic approach to describe the behavior of materials. In: Jaeger T A, Boley B A, eds . Transactions of the 4th International Conference on Structural Mechanics in Reactor Technology. European Communities, Brussels, Belgium , 1977, H(J1/11): 1–14
24 Ba?ant Z P, Yu Q. Universal size effect law and effect of crack depth on quasi-brittle structure strength. Journal of Engineering Mechanics , 2009, 135(2): 78–84
doi: 10.1061/(ASCE)0733-9399(2009)135:2(78)
25 Industry Standards of the People’s Republic of China. Standard for Test Method of Performance on Building Mortar JGJ/T70–2009 (in Chinese)
[1] Subhasis PRADHAN, Shailendra KUMAR, Sudhirkumar V. BARAI. Understanding the behavior of recycled aggregate concrete by using thermogravimetric analysis[J]. Front. Struct. Civ. Eng., 2020, 14(6): 1561-1572.
[2] Fulin Qu, Wengui Li, Xiaohui Zeng, Zhiyu Luo, Kejin Wang, Daichao Sheng. Effect of microlimestone on properties of self-consolidating concrete with manufactured sand and mineral admixture[J]. Front. Struct. Civ. Eng., 2020, 14(6): 1545-1560.
[3] Mohammad Reza AZADI KAKAVAND, Ertugrul TACIROGLU. An enhanced damage plasticity model for predicting the cyclic behavior of plain concrete under multiaxial loading conditions[J]. Front. Struct. Civ. Eng., 2020, 14(6): 1531-1544.
[4] Harun TANYILDIZI, Abdulkadir ŞENGÜR, Yaman AKBULUT, Murat ŞAHİN. Deep learning model for estimating the mechanical properties of concrete containing silica fume exposed to high temperatures[J]. Front. Struct. Civ. Eng., 2020, 14(6): 1316-1330.
[5] Fangyu LIU, Wenqi DING, Yafei QIAO, Linbing WANG. An artificial neural network model on tensile behavior of hybrid steel-PVA fiber reinforced concrete containing fly ash and slag power[J]. Front. Struct. Civ. Eng., 2020, 14(6): 1299-1315.
[6] Luisa PANI, Flavio STOCHINO. Punching of reinforced concrete slab without shear reinforcement: Standard models and new proposal[J]. Front. Struct. Civ. Eng., 2020, 14(5): 1196-1214.
[7] Masoud RANJBARNIA, Milad ZAHERI, Daniel DIAS. Three-dimensional finite difference analysis of shallow sprayed concrete tunnels crossing a reverse fault or a normal fault: A parametric study[J]. Front. Struct. Civ. Eng., 2020, 14(4): 998-1011.
[8] Chunfeng ZHAO, Xin YE, Avinash GAUTAM, Xin LU, Y. L. MO. Simplified theoretical analysis and numerical study on the dynamic behavior of FCP under blast loads[J]. Front. Struct. Civ. Eng., 2020, 14(4): 983-997.
[9] Divahar RAVI, Aravind Raj PONSUBBIAH, Sangeetha Sreekumar PRABHA, Joanna Philip SARATHA. Experimental, analytical and numerical studies on concrete encased trapezoidally web profiled cold-formed steel beams by varying depth-thickness ratio[J]. Front. Struct. Civ. Eng., 2020, 14(4): 930-946.
[10] Luthfi Muhammad MAULUDIN, Chahmi OUCIF, Timon RABCZUK. The effects of mismatch fracture properties in encapsulation-based self-healing concrete using cohesive-zone model[J]. Front. Struct. Civ. Eng., 2020, 14(3): 792-801.
[11] Feng YU, Cheng QIN, Shilong WANG, Junjie JIANG, Yuan FANG. Stress-strain relationship of recycled self-compacting concrete filled steel tubular column subjected to eccentric compression[J]. Front. Struct. Civ. Eng., 2020, 14(3): 760-772.
[12] Rwayda Kh. S. AL-HAMD, Martin GILLIE, Safaa Adnan MOHAMAD, Lee S. CUNNINGHAM. Influence of loading ratio on flat slab connections at elevated temperature: A numerical study[J]. Front. Struct. Civ. Eng., 2020, 14(3): 664-674.
[13] Luthfi Muhammad MAULUDIN, Chahmi OUCIF. Computational modeling of fracture in concrete: A review[J]. Front. Struct. Civ. Eng., 2020, 14(3): 586-598.
[14] Yasmin MURAD, Wassel AL BODOUR, Ahmed ASHTEYAT. Seismic retrofitting of severely damaged RC connections made with recycled concrete using CFRP sheets[J]. Front. Struct. Civ. Eng., 2020, 14(2): 554-568.
[15] Xiao-Yong WANG. Impacts of climate change on optimal mixture design of blended concrete considering carbonation and chloride ingress[J]. Front. Struct. Civ. Eng., 2020, 14(2): 473-486.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed