Numerical Simulation of Cementitious Composites Stool with Digitally Distributed Steel Fibers

Abstract

Abstract: The addition of steel fibers into cementitious composites can improve the tensile performance and toughness. The direction and volume fraction of steel fibers are designed according to the distribution of tensile stress, which is defined as digitally distributed steel fiber, and can maximize the reinforcement of steel fibers on cementitious composites. In this paper, a stool was chosen as case study. The relationship between the magnitude and direction of tensile stress with the distribution of steel fibers was established by numerical simulation, and the digitally distributed steel fibers in the stool were determined. The mechanical properties of critical cross-sections of the stool were analyzed. In the midspan of the top slab of the stool, the amount of digitally distributed steel fibers is 187% and 514% higher than that of aligned and randomly distributed steel fibers, and the resultant force undertaken by the digitally distributed steel fibers increases by 276% and 888%, respectively, compared to that by aligned and randomly distributed steel fibers. The amount of digitally distributed steel fibers is 113% and 355% higher than that of aligned and randomly distributed steel fibers in the top normal section of side slab of the stool, and the resultant force undertaken by the digitally distributed steel fibers increases by 218% and 775%, respectively, relative to that by aligned and randomly distributed steel fibers. The results show that the reinforcement effect of digitally distributed steel fibers is significantly improved compared with aligned and randomly distributed steel fibers, and the midspan cross-section of the top slab and the top normal section of side slab are characterized by an increasing number of steel fibers, which leads to a higher steel fiber resultant force.

Key words: digitally distributed steel fiber, cementitious composite, numerical simulation, fiber stress, reinforcement mechanism

CLC Number:

TU528

MU Ru, FAN Chunhao, WANG Xiaowei, CHEN Xiangshang, QING Longbang, MEI Shaolin, CAO Chengxiang, LIU Haiyang. Numerical Simulation of Cementitious Composites Stool with Digitally Distributed Steel Fibers[J]. BULLETIN OF THE CHINESE CERAMIC SOCIETY, 2024, 43(8): 2827-2834.

References

[1] ALTUN F, HAKTANIR T, ARI K. Effects of steel fiber addition on mechanical properties of concrete and RC beams[J]. Construction and Building Materials, 2007, 21(3): 654-661.
[2] UYGUNOĞLU T. Investigation of microstructure and flexural behavior of steel-fiber reinforced concrete[J]. Materials and Structures, 2008, 41(8): 1441-1449.
[3] BRANDT A M. On the optimal direction of short metal fibres in brittle matrix composites[J]. Journal of Materials Science, 1985, 20(11): 3831-3841.
[4] ZHANG S L, ZHANG C S, LIAO L. Investigation on the relationship between the steel fibre distribution and the post-cracking behaviour of SFRC[J]. Construction and Building Materials, 2019, 200: 539-550.
[5] HUANG H H, GAO X J, LI Y F, et al. SPH simulation and experimental investigation of fiber orientation in UHPC beams with different placements[J]. Construction and Building Materials, 2020, 233: 117372.
[6] WANG X W, ZHAN Z Y, MU R, et al. Improving reinforcement of cement-based composite continuous beam using adaptively distributed steel fibers[J]. Construction and Building Materials, 2022, 348: 128684.
[7] SCHLANGEN E, QIAN Z W. 3D modeling of fracture in cement-based materials[J]. Journal of Multiscale Modelling, 2009, 1(2): 245-261.
[8] SCHLANGEN E, GARBOCZI E J. Fracture simulations of concrete using lattice models: computational aspects[J]. Engineering Fracture Mechanics, 1997, 57(2/3): 319-332.
[9] XU Z, HAO H, LI H N. Mesoscale modelling of fibre reinforced concrete material under compressive impact loading[J]. Construction and Building Materials, 2012, 26(1): 274-288.
[10] XU Z, HAO H, LI H N. Mesoscale modelling of dynamic tensile behaviour of fibre reinforced concrete with spiral fibres[J]. Cement and Concrete Research, 2012, 42(11): 1475-1493.
[11] 卿龙邦, 杨子美, 慕儒, 等. 定向钢纤维增强水泥基复合材料断裂细观数值模拟研究[J]. 建筑材料学报, 2023, 26(2): 111-121.
QING L B, YANG Z M, MU R. Meso-numerical simulation research on the fracture of aligned steel fiber reinforced cementitious composites[J]. Journal of Building Materials, 2023, 26(2): 111-121 (in Chinese).
[12] LUBLINER J, OLIVER J, OLLER S, et al. A plastic-damage model for concrete[J]. International Journal of Solids and Structures, 1989, 25(3): 299-326.
[13] LEE J, FENVES G L. Plastic-damage model for cyclic loading of concrete structures[J]. Journal of Engineering Mechanics, 1998, 124(8): 892-900.
[14] 中华人民共和国住房和城乡建设部. 混凝土结构设计规范: GB 50010—2010[S]. 北京: 中国建筑工业出版社, 2011.
Ministry of Housing and Urban-Rural Development of the People’s Republic of China. Code for design of concrete structures: GB 50010—2010[S]. Beijing: China Architecture & Building Press, 2011 (in Chinese).
[15] 李清富, 匡一航, 郭威. CDP模型参数计算及取值方法验证[J]. 郑州大学学报(工学版), 2021, 42(2): 43-48.
LI Q F, KUANG Y H, GUO W. CDP model parameters calculation and value method verification[J]. Journal of Zhengzhou University (Engineering Science), 2021, 42(2): 43-48 (in Chinese).
[16] 许航铭. 定量定向分布钢纤维增强水泥基复合材料连续梁优化、制备及力学性能研究[D]. 天津: 河北工业大学, 2022.
XU H M. Optimization, preparation and mechanical performance of adaptively distributed steel fiber reinforced cement-based composites continuous beam[D]. Tianjin: Hebei University of Technology, 2022 (in Chinese).
[17] CUNHA V M C F, BARROS J A O, SENA-CRUZ J M. A finite element model with discrete embedded elements for fibre reinforced composites[J]. Computers & Structures, 2012, 94/95: 22-33.
[18] CUNHA V M C F, BARROS J A O, SENA-CRUZ J M. An integrated approach for modelling the tensile behaviour of steel fibre reinforced self-compacting concrete[J]. Cement and Concrete Research, 2011, 41(1): 64-76.
[19] 张慧. 纤维混凝土复杂破坏过程的离散-连续耦合细观有限元模拟[D]. 杭州: 浙江大学, 2018.
ZHANG H. A discrete-continuum coupled meso-scale finite element model for simulation of complicated failure modes in fibre reinforced concrete[D]. Hangzhou: Zhejiang University, 2018 (in Chinese).