剪弯梁宏细观多尺度非线性有限元分析

硅酸盐通报 ›› 2021, Vol. 40 ›› Issue (3): 836-844.

剪弯梁宏细观多尺度非线性有限元分析

胡彪¹, 王宪杰^1,2,3, 王思文¹, 李承玥¹, 王兆毅¹, 翁振江¹

1.云南大学建筑与规划学院,昆明 650500;
2.浙江大学建筑与工程学院,杭州 310058;
3.浙江东南网架集团有限公司,杭州 311209

收稿日期:2020-11-26 修回日期:2020-12-29 出版日期:2021-03-15 发布日期:2021-04-13
通讯作者: 王宪杰,博士,讲师。E-mail:xianjiewang@ynu.edu.cn
作者简介:胡彪(1995—),男,硕士研究生。主要从事混凝土多尺度的研究。E-mail:1024998117@qq.com
基金资助:
国家留学基金委(201907035008);云南省教育厅科学研究基金(2020Y0020);云南省科技厅科技计划(202001BB050059)

Macro and Meso Multi-Scale Nonlinear Finite Element Analysis of Shear-Flexural Beam

HU Biao¹, WANG Xianjie^1,2,3, WANG Siwen¹, LI Chengyue¹, WANG Zhaoyi¹, WENG Zhenjiang¹

1. School of Architecture and Urban Planning, Yunnan University, Kunming 650500, China;
2. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China;
3. Zhejiang Southeast Space Frame Group Company Limited, Hangzhou 311209, China

Received:2020-11-26 Revised:2020-12-29 Online:2021-03-15 Published:2021-04-13

摘要/Abstract

摘要： 为深入研究细观粗骨料粒径对混凝土宏观构件非线性力学性能的影响,通过生成满足Fuller级配的骨料粒径,以放置区域像素的RGB(红绿蓝)值判断骨料重叠情况,实现骨料在混凝土内部的随机分布。在此基础上,运用均匀化方法求解二维细观随机多边形骨料模型的等效弹性模量及刚度矩阵,并引入混凝土材料损伤因子模拟剪弯梁裂缝展开,由此构建混凝土多尺度非线性力学模型。结果表明,当混凝土进入塑性阶段后,骨料最大粒径对拉、压状态下损伤因子的相关性不可忽略,并直接影响宏观剪弯梁的裂缝开展及最大塑性应变大小,且有可能改变剪弯梁的破坏模式。

关键词: 混凝土粗骨料, 多尺度非线性, Fuller级配, 等效弹性模量, 剪弯梁

Abstract: In order to further study the influence of the mesoscopic coarse aggregate gradation on the nonlinear mechanical properties of concrete macroscopic components, the aggregate size satisfying Fuller grading was generated, and the aggregate overlap was judged by the RGB (red, green, bule) value of the placement area pixels, so as to realize the random distribution of aggregate in concrete. On this basis, the equivalent elastic modulus and stiffness matrix of two-dimensional mesoscopic random polygonal aggregate model were solved by homogenization method, and the damage factor of concrete material was introduced to simulate the crack expansion of shear-flexural beam, so a multi-scale nonlinear mechanical model of concrete was established. The results show that when the concrete enters the plastic stage, the correlation between the maximum aggregate size and the damage factor under tension and compression can not be ignored, which directly affects the crack development and the maximum plastic strain of the macroscopic shear-flexural beam. It may also change the failure mode of shear-flexural beam.

Key words: concrete coarse aggregate, multi-scale nonlinearity, Fuller grading, equivalent elastic modulus, shear-flexural beam

中图分类号:

TU528

胡彪, 王宪杰, 王思文, 李承玥, 王兆毅, 翁振江. 剪弯梁宏细观多尺度非线性有限元分析[J]. 硅酸盐通报, 2021, 40(3): 836-844.

HU Biao, WANG Xianjie, WANG Siwen, LI Chengyue, WANG Zhaoyi, WENG Zhenjiang. Macro and Meso Multi-Scale Nonlinear Finite Element Analysis of Shear-Flexural Beam[J]. BULLETIN OF THE CHINESE CERAMIC SOCIETY, 2021, 40(3): 836-844.

参考文献

[1] 王康,吴佰建,李兆霞.损伤跨尺度演化导致的混凝土强度尺寸效应[J].东南大学学报(自然科学版),2014,44(6):1230-1234.
WANG K, WU B J, LI Z X. Size effect on concrete strength caused by trans-scale damage evolution[J]. Journal of Southeast University (Natural Science Edition), 2014, 44(6): 1230-1234 (in Chinese).
[2] 宁超列,余波.钢筋混凝土框架结构的多尺度变异性分析[J].建筑结构学报,2015,36(10):105-113.
NING C L, YU B. Multi-scale variability analysis of reinforced concrete frame structures[J]. Journal of Building Structures, 2015, 36(10): 105-113 (in Chinese).
[3] 程小卫,李易,陆新征,等.基于多尺度模型的RC框架撞击倒塌响应数值分析[J].振动与冲击,2016,35(5):82-88+114.
CHENG X W, LI Y, LU X Z, et al. Numerical analysis for collapse reponse of a RC frame subjected to impact loading based on multi-scale model[J]. Journal of Vibration and Shock, 2016, 35(5): 82-88+114 (in Chinese).
[4] 马鲁岳.基于结构多尺度模拟的大跨斜拉桥状态评定[D].大连:大连海事大学,2018.
MA L Y. Condition assessment of long-span cable-stayed bridges based on multi-scale finite element modeling[D]. Dalian: Dalian Maritime University, 2018 (in Chinese).
[5] 金浏.细观混凝土分析模型与方法研究[D].北京:北京工业大学,2014.
JIN L. Study on meso-scopic model and analysis method of concrete[D]. Beijing: Beijing University of Technology, 2014 (in Chinese).
[6] 金浏,余文轩,杜修力,等.低应变率下混凝土动态拉伸破坏尺寸效应细观模拟[J].工程力学,2019,36(8):59-69+78.
JIN L, YU W X, DU X L, et al. Meso-scale simulation of size effect of dynamic tensile strength of concrete under low strain rates[J]. Engineering Mechanics, 2019, 36(8): 59-69+78 (in Chinese).
[7] 金浏,苏晓,徐海滨,等.基于细观模型的含腹筋混凝土梁受剪承载力尺寸效应[J].土木与环境工程学报(中英文),2019,41(1):80-88.
JIN L, SU X, XU H B, et al. Meso-scle simulation of size effect in shear capacity of reinforced concrete beams with web reinforcement[J]. Journal of Civil and Environmental Engineering, 2019, 41(1): 80-88 (in Chinese).
[8] 张帅,金浏,李冬,等.结构尺寸对钢筋混凝土短柱抗震性能影响:细观分析[J].工程力学,2018,35(12):164-174.
ZHANG S, JIN L, LI D, et al. Effect of structural size on seismic performance of reinforced concrete short columns—a meso-scale study[J]. Engineering Mechanics, 2018, 35(12): 164-174 (in Chinese).
[9] ESCODA J, WILLOT F, JEULIN D, et al. Influence of the multiscale distribution of particles on elastic properties of concrete[J]. International Journal of Engineering Science, 2016, 98: 60-71.
[10] 许文祥,陈惠苏.多尺度椭圆形集料尺寸分布对混凝土边界效应的影响[J].东南大学学报(自然科学版),2011,41(5):1048-1053.
XU W X, CHEN H S. Influence of size distribution of multiscale elliptical aggregates on wall effect of concrete[J]. Journal of Southeast University (Natural Science Edition), 2011, 41(5): 1048-1053 (in Chinese).
[11] 王飞阳,黄宏伟,张东明,等.带裂缝服役混凝土结构力学性能的多尺度模拟方法[J].建筑结构学报,2019,40(12):155-162.
WANG F Y, HUANG H W, ZHANG D M, et al. Multi scale simulation method of mechanical behaviors of existing concrete structure with crack[J]. Journal of Building Structures, 2019, 40(12): 155-162 (in Chinese).
[12] BIN S, LI Z X. Multi-scale modeling and trans-level simulation from material meso-damage to structural failure of reinforced concrete frame structures under seismic loading[J]. Journal of Computational Science, 2016, 12: 38-50.
[13] HUANG Y J, YAN D M, YANG Z J, et al. 2D and 3D homogenization and fracture analysis of concrete based on in situ X-ray computed tomography images and Monte Carlo simulations[J]. Engineering Fracture Mechanics, 2016, 163: 37-54.
[14] 潘子超,阮欣,陈艾荣.基于任意级配的二维随机骨料生成方法[J].同济大学学报(自然科学版),2013,41(5):759-764.
PAN Z C, RUAN X, CHEN A R. Simulation method of random aggregate in two dimension based on arbitrary gradation[J]. Journal of Tongji University (Natural Science), 2013, 41(5): 759-764 (in Chinese).
[15] 胡大琳,张立兴,陈定市.二维细观随机混凝土模型的建立和应用[J].长安大学学报(自然科学版),2017,37(3):53-63.
HU D L, ZHANG L X, CHEN D S. Establishment and application of 2D mesoscopic stochastic concrete model[J]. Journal of Chang’an University (Natural Science Edition), 2017, 37(3): 53-63 (in Chinese).
[16] HASSANI B, HINTON E. A review of homogenization and topology optimization I—homogenization theory for media with periodic structure[J]. Computers & Structures, 1998, 69(6): 707-717.
[17] HASSANI B, HINTON E. A review of homogenization and topology opimization II—analytical and numerical solution of homogenization equations[J]. Computers & Structures, 1998, 69(6): 719-738.
[18] HASSANI B, HINTON E. A review of homogenization and topology optimization III—topology optimization using optimality criteria[J]. Computers & Structures, 1998, 69(6): 739-756.
[19] 陈玉丽,马勇,潘飞,等.多尺度复合材料力学研究进展[J].固体力学学报,2018,39(1):1-68.
CHEN Y L, MA Y, PAN F, et al. Research progress in multi-scale mechanics of composite materials[J]. Chinese Journal of Solid Mechanics, 2018, 39(1): 1-68 (in Chinese).
[20] 唐欣薇,张楚汉.基于均匀化理论的混凝土宏细观力学特性研究[J].计算力学学报,2009,26(6):876-881.
TANG X W, ZHANG C H. Study on concrete in macro-and meso-scale mechanical properties based on homogenization theory[J]. Chinese Journal of Computational Mechanics, 2009, 26(6): 876-881 (in Chinese).
[21] 丁发兴,余志武.混凝土受拉力学性能统一计算方法[J].华中科技大学学报(城市科学版),2004,21(3):29-34.
DING F X, YU Z W. Unified calculation method of mechanical properties of concrete in tension[J]. Journal of Wuhan Urban Construction Institute, 2004, 21(3): 29-34 (in Chinese).
[22] 余志武,丁发兴.混凝土受压力学性能统一计算方法[J].建筑结构学报,2003,24(4):41-46.
YU Z W, DING F X. Unified calculation method of compressive mechanical properties of concrete[J]. Journal of Building Structures, 2003, 24(4): 41-46 (in Chinese).
[23] 张劲,王庆扬,胡守营,等.ABAQUS混凝土损伤塑性模型参数验证[J].建筑结构,2008,38(8):127-130.
ZHANG J, WANG Q Y, HU S Y, et al. Parameters verification of concrete damaged plastic model of ABAQUS[J]. Building Structure, 2008, 38(8): 127-130 (in Chinese).
[24] SIDOROFF F. Description of anisotropic damage application to elasticity[C]. Physical Non-Linearities in Structural Analysis, IUTAM Colloquium, 1981.
[25] 马怀发,陈厚群,黎保琨.混凝土试件细观结构的数值模拟[J].水利学报,2004,35(10):27-35.
MA H F, CHEN H Q, LI B K. Meso-structure numerical simulation of concrete specimens[J]. Journal of Hydraulic Engineering, 2004, 35(10): 27-35 (in Chinese).