Full Text:   <1303>

Summary:  <196>

Suppl. Mater.: 

CLC number: 

On-line Access: 2022-02-28

Received: 2021-04-09

Revision Accepted: 2021-08-15

Crosschecked: 0000-00-00

Cited: 0

Clicked: 2284

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Xiao-xiao SUN

https://orcid.org/0000-0002-5359-5672

-   Go to

Article info.
Open peer comments

Journal of Zhejiang University SCIENCE A 2022 Vol.23 No.2 P.118-139

http://doi.org/10.1631/jzus.A2100158


A novel multi-level model for quasi-brittle cracking analysis with complex microstructure


Author(s):  Xiao-xiao SUN, Xiang-yu CHEN, Xiao-ming GUO

Affiliation(s):  Jiangsu Key Laboratory of Engineering Mechanics, Department of Engineering Mechanics, Southeast University, Nanjing 210096, China; more

Corresponding email(s):   xmguo@seu.edu.cn

Key Words:  Multi-level model, Concrete, Enrichment function, Quasi-brittle cracking, Damage evolution, Digital image correlation (DIC) test


Xiao-xiao SUN, Xiang-yu CHEN, Xiao-ming GUO. A novel multi-level model for quasi-brittle cracking analysis with complex microstructure[J]. Journal of Zhejiang University Science A, 2022, 23(2): 118-139.

@article{title="A novel multi-level model for quasi-brittle cracking analysis with complex microstructure",
author="Xiao-xiao SUN, Xiang-yu CHEN, Xiao-ming GUO",
journal="Journal of Zhejiang University Science A",
volume="23",
number="2",
pages="118-139",
year="2022",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2100158"
}

%0 Journal Article
%T A novel multi-level model for quasi-brittle cracking analysis with complex microstructure
%A Xiao-xiao SUN
%A Xiang-yu CHEN
%A Xiao-ming GUO
%J Journal of Zhejiang University SCIENCE A
%V 23
%N 2
%P 118-139
%@ 1673-565X
%D 2022
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2100158

TY - JOUR
T1 - A novel multi-level model for quasi-brittle cracking analysis with complex microstructure
A1 - Xiao-xiao SUN
A1 - Xiang-yu CHEN
A1 - Xiao-ming GUO
J0 - Journal of Zhejiang University Science A
VL - 23
IS - 2
SP - 118
EP - 139
%@ 1673-565X
Y1 - 2022
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A2100158


Abstract: 
The paper presents a novel multi-level model for quasi-brittle cracking analysis. Based on the partition of unity and information transmission technology, it provides a new non-re-meshing way to describe the cracking phenomenon in structures constructed from materials with complex microstructures. In the global model, the concept of the material particle is defined and the basic unknowns are the boundary displacements of these particles, which is different from the concept of the traditional displacement field. A series of enrichment functions with continuous steps is proposed, describing the boundary displacement affected by crack bands and allowing the intersections of crack bands with particle boundaries a priori unknown. Simultaneously, additional equations are introduced to determine element status and make the degrees of freedom of the global model remain at a stable level. Compared with previous research by our group, where the local description is equal to the global description on the boundary of a material particle, the introduced enrichment functions enable more accurate capture of the characteristics of the crack band. The model avoids the complex and dynamic model adjustments due to the activation and exit of representative volume elements (RVEs) and the accuracy of the description of the crack pattern can be ensured. The RVEs are activated at first, but then many of them exit the computation due to the unloading which reduces many of the degrees of freedom. Two examples of concrete specimens are analyzed, and the concrete fracture experiment and the digital image correlation (DIC) test are conducted. Compared with the reference solutions and the experimental data, even though the microstructure of concrete is very complex, the cracking process and crack pattern can be obtained accurately.

用于复杂微观结构准脆性开裂分析的创新多层级模型

目的:建立完全无需进行网格重划分且能够有效提高裂纹带模拟精度的多层级模型。
创新点:1.建立了材料粒子边界位移为基本未知量的全局控制方程,避免了全局层级材料粒子内部复杂状态的讨论;2.将具有连续台阶的富集函数用于描述粒子边界的开裂位移,可以得到先验未知解;3.建立了控制单元状态的补充方程,使全局模型的自由度数稳定在低水平;4.实现了代表性体积元(RVE)的退出,进而将模型整体的自由度数控制在稳定的低水平;5.裂纹带可以在任意位置进入和离开材料粒子。
方法:1.采用多层级信息传递方法建立模型;2.采用单位分解法的思想对材料粒子边界位移进行近似。
结论:1.实现了计算过程中RVE的动态激活和退出,大大降低了整个模型的自由度数;2.模型的模拟结果与完全微观模型及实验的结果一致,说明本文所提出的模型具有较高的计算精度。

关键词:多层级模型;混凝土;富集函数;准脆性开裂;损伤演化;数字图像相关测试

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]AbbasAA, MohsinSMS, CotsovosDM, 2016. A simplified finite element model for assessing steel fibre reinforced concrete structural performance. Computers & Structures, 173:31-49.

[2]BelytschkoT, LiuWK, MoranB, et al., 2014. Nonlinear Finite Elements for Continua and Structures, 2nd Edition. John Wiley & Sons Inc, Chichester, UK.

[3]BerkePZ, PeerlingsRHJ, MassartTJ, et al., 2014. A homogenization-based quasi-discrete method for the fracture of heterogeneous materials. Computational Mechanics, 53(5):909-923.

[4]BiswasR, ShedbaleAS, PohLH, 2019. Nonlinear analyses with a micromorphic computational homogenization framework for composite materials. Computer Methods in Applied Mechanics and Engineering, 350:362-395.

[5]ChaudhuriP, 2013. Multi-scale modeling of fracture in concrete composites. Composites Part B: Engineering, 47:162-172.

[6]CoenenEWC, KouznetsovaVG, BoscoE, et al., 2012. A multi-scale approach to bridge microscale damage and macroscale failure: a nested computational homogenization-localization framework. International Journal of Fracture, 178(1):157-178.

[7]ContrafattoL, CuomoM, 2007. Comparison of two forms of strain decomposition in an elastic-plastic damaging model for concrete. Modelling and Simulation in Materials Science and Engineering, 15(4):S405-S423.

[8]DascaluC, FrançoisB, KeitaO, 2010. A two-scale model for subcritical damage propagation. International Journal of Solids and Structures, 47(3-4):493-502.

[9]DuttaS, KishenJMC, 2018. Progressive damage through interface microcracking in cementitious composites: a micromechanics based approach. International Journal of Solids and Structures, 150:230-240.

[10]FengXQ, YuSW, 2010. Damage micromechanics for constitutive relations and failure of microcracked quasi-brittle materials. International Journal of Damage Mechanics, 19(8):911-948.

[11]GhoshA, ChaudhuriP, 2013. Computational modeling of fracture in concrete using a meshfree meso-macro-multiscale method. Computational Materials Science, 69:204-215.

[12]GhoshS, BaiJ, RaghavanP, 2007. Concurrent multi-level model for damage evolution in microstructurally debonding composites. Mechanics of Materials, 39(3):241-266.

[13]GitmanIM, AskesH, SluysLJ, 2008. Coupled-volume multi-scale modelling of quasi-brittle material. European Journal of Mechanics–A/Solids, 27(3):302-327.

[14]GrecoF, LeonettiL, LucianoR, 2015. A multiscale model for the numerical simulation of the anchor bolt pull-out test in lightweight aggregate concrete. Construction and Building Materials, 95:860-874.

[15]GuidaultPA, AllixO, ChampaneyL, et al., 2007. A two-scale approach with homogenization for the computation of cracked structures. Computers & Structures, 85(17-18):1360-1371.

[16]GuoLP, CarpinteriA, RoncellaR, et al., 2009. Fatigue damage of high performance concrete through a 2D mesoscopic lattice model. Computational Materials Science, 44(4):1098-1106.

[17]HäfnerS, EckardtS, LutherT, et al., 2006. Mesoscale modeling of concrete: geometry and numerics. Computers & Structures, 84(7):450-461.

[18]HanganuAD, OñateE, BarbatAH, 2002. A finite element methodology for local/global damage evaluation in civil engineering structures. Computers & Structures, 80(20-21):1667-1687.

[19]HeB, SchulerL, NewellP, 2020. A numerical-homogenization based phase-field fracture modeling of linear elastic heterogeneous porous media. Computational Materials Science, 176:109519.

[20]JirásekM, BauerM, 2012. Numerical aspects of the crack band approach. Computers & Structures, 110-111:60-78.

[21]JouanG, KotronisP, CollinF, 2014. Using a second gradient model to simulate the behaviour of concrete structural elements. Finite Elements in Analysis and Design, 90:50-60.

[22]KimK, BolanderJE, LimYM, 2013. Failure simulation of RC structures under highly dynamic conditions using random lattice models. Computers & Structures, 125:127-136.

[23]KouznetsovaV, BrekelmansWAM, BaaijensFPT, 2001. An approach to micro-macro modeling of heterogeneous materials. Computational Mechanics, 27(1):37-48.

[24]KulkarniMG, MatoušK, GeubellePH, 2010. Coupled multi-scale cohesive modeling of failure in heterogeneous adhesives. International Journal for Numerical Methods in Engineering, 84(8):916-946.

[25]LiTC, LyuLX, ZhangSL, et al., 2015. Development and application of a statistical constitutive model of damaged rock affected by the load-bearing capacity of damaged elements. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 16(8):644-655.

[26]LiXF, ZhangQB, LiHB, et al., 2018. Grain-based discrete element method (GB-DEM) modelling of multi-scale fracturing in rocks under dynamic loading. Rock Mechanics and Rock Engineering, 51(12):3785-3817.

[27]LiZX, ZhouTQ, ChanTHT, et al., 2007. Multi-scale numerical analysis on dynamic response and local damage in long-span bridges. Engineering Structures, 29(7):1507-1524.

[28]LiZX, ChanTHT, YuY, et al., 2009. Concurrent multi-scale modeling of civil infrastructures for analyses on structural deterioration—Part I: modeling methodology and strategy. Finite Elements in Analysis and Design, 45(11):782-794.

[29]LiangSX, RenXD, LiJ, 2018. A mesh-size-objective modeling of quasi-brittle material using micro-cell informed damage law. International Journal of Damage Mechanics, 27(6):913-936.

[30]LiuJX, ZhaoZY, DengSC, et al., 2009. Numerical investigation of crack growth in concrete subjected to compression by the generalized beam lattice model. Computational Mechanics, 43(2):277-295.

[31]Lloberas-VallsO, RixenDJ, SimoneA, et al., 2011. Domain decomposition techniques for the efficient modeling of brittle heterogeneous materials. Computer Methods in Applied Mechanics and Engineering, 200(13-16):1577-1590.

[32]MaR, SunWC, 2020. FFT-based solver for higher-order and multi-phase-field fracture models applied to strongly anisotropic brittle materials. Computer Methods in Applied Mechanics and Engineering, 362:112781.

[33]MacriM, DeS, 2008. An octree partition of unity method (OctPUM) with enrichments for multiscale modeling of heterogeneous media. Computers & Structures, 86(7-8):780-795.

[34]NezhadMM, ZhuHH, JuJW, et al., 2016. A simplified multiscale damage model for the transversely isotropic shale rocks under tensile loading. International Journal of Damage Mechanics, 25(5):705-726.

[35]NguyenVP, Lloberas-VallsO, StroevenM, et al., 2011. Homogenization-based multiscale crack modelling: from micro-diffusive damage to macro-cracks. Computer Methods in Applied Mechanics and Engineering, 200(9-12):1220-1236.

[36]RodriguesEA, ManzoliOL, Bitencourt JrLAG, et al., 2016. 2D mesoscale model for concrete based on the use of interface element with a high aspect ratio. International Journal of Solids and Structures, 94-95:112-124.

[37]ShahbeykS, HosseiniM, YaghoobiM, 2011. Mesoscale finite element prediction of concrete failure. Computational Materials Science, 50(7):1973-1990.

[38]ShenJ, MaoJH, BoileauJ, et al., 2014. Material damage evaluation with measured microdefects and multiresolution numerical analysis. International Journal of Damage Mechanics, 23(4):537-566.

[39]SunB, LiZX, 2015. Adaptive concurrent multi-scale FEM for trans-scale damage evolution in heterogeneous concrete. Computational Materials Science, 99:262-273.

[40]SunB, LiZX, 2016a. Adaptive concurrent three-level multiscale simulation for trans-scale process from material mesodamage to structural failure of concrete structures. International Journal of Damage Mechanics, 25(5):750-769.

[41]SunB, LiZX, 2016b. Adaptive mesh refinement FEM for seismic damage evolution in concrete-based structures. Engineering Structures, 115:155-164.

[42]SunB, LiZX, 2016c. Multi-scale modeling and trans-level simulation from material meso-damage to structural failure of reinforced concrete frame structures under seismic loading. Journal of Computational Science, 12:38-50.

[43]SunXX, GuoXM, 2019. Domain information transfer method and its application in quasi-brittle failure analysis. Advances in Mechanical Engineering, 11(12):1-19.

[44]SunXX, GuoXM, GuoL, et al., 2020. Multiscale analysis of concrete damage and crack propagation under high cycle loading. International Journal of Computational Methods, 17(1):1844007.

[45]WangZ, JinXY, JinNG, et al., 2014. Cover cracking model in reinforced concrete structures subject to rebar corrosion. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 15(7):496-507.

[46]WriggersP, MoftahSO, 2006. Mesoscale models for concrete: homogenisation and damage behaviour. Finite Elements in Analysis and Design, 42(7):623-636.

[47]WuJY, 2018. A geometrically regularized gradient-damage model with energetic equivalence. Computer Methods in Applied Mechanics and Engineering, 328:612-637.

[48]XuQ, ChenJY, LiJ, et al., 2014. A study on the contraction joint element and damage constitutive model for concrete arch dams. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 15(3):208-218.

[49]ZhangFS, DamjanacB, MaxwellS, 2019. Investigating hydraulic fracturing complexity in naturally fractured rock masses using fully coupled multiscale numerical modeling. Rock Mechanics and Rock Engineering, 52(12):5137-5160.

[50]ZhangNL, GuoXM, ZhuBB, et al., 2012. A mesoscale model based on Monte-Carlo method for concrete fracture behavior study. Science China Technological Sciences, 55(12):3278-3284.

[51]ZhouXQ, HaoH, 2008. Mesoscale modelling of concrete tensile failure mechanism at high strain rates. Computers & Structures, 86(21-22):2013-2026.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2022 Journal of Zhejiang University-SCIENCE