Thermal-mechanical coupled lattice discrete element method for simulating thermal cracking of quasi-brittle materials

doi:10.3785/j.issn.1008-973X.2022.09.008

Journal of ZheJiang University (Engineering Science)

2022, Vol. 56

Issue (9): 1750-1760 DOI: 10.3785/j.issn.1008-973X.2022.09.008

Thermal-mechanical coupled lattice discrete element method for simulating thermal cracking of quasi-brittle materials

Ling-xiao CHEN(

),Wen-xiang TIAN,Gang MA,Yong-gang CHENG*(

),Qiao WANG,Wei ZHOU

State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China

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Abstract

A new thermal-mechanical coupled numerical model was proposed based on the lattice discrete element method (LDEM), aiming at the heat conduction and thermal cracking of quasi-brittle materials. In LDEM, in order to simulate the numerical test of the temperature conduction and crack propagation, the equivalent conversion of the heat transfer process between the lattice discrete system and the continuum was carried out, combined with the linear expansion formula of the lattice element. Taking the heat conduction and thermoelastic stress of the plate, and the cracking caused by the temperature gradient and thermal mismatch as examples, the model was verified. In addition, the model was applied to the numerical simulation of the meso-level concrete temperature-stress test. Results show that the LDEM thermal-mechanical coupling model can simulate the heat conduction process of quasi-brittle materials, as well as the crack initiation and propagation under the influence of temperature effectively, which provides a powerful tool for studying the thermal cracking process and mechanism of quasi-brittle materials.

Key words： lattice discrete element method (LDEM) thermal-mechanical coupling heat conduction thermal cracking quasi-brittle materials

Received: 15 September 2021 Published: 28 September 2022

CLC:

TV 315

Fund: 国家自然科学基金资助项目（51879206，51979207，U2040223）

Corresponding Authors: Yong-gang CHENG E-mail: chenlingxiao@whu.edu.cn;chengyg@whu.edu.cn

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Cite this article:

Ling-xiao CHEN,Wen-xiang TIAN,Gang MA,Yong-gang CHENG,Qiao WANG,Wei ZHOU. Thermal-mechanical coupled lattice discrete element method for simulating thermal cracking of quasi-brittle materials. Journal of ZheJiang University (Engineering Science), 2022, 56(9): 1750-1760.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2022.09.008 OR https://www.zjujournals.com/eng/Y2022/V56/I9/1750

模拟准脆性材料热开裂的热力耦合格构离散单元法

针对准脆性材料的热传导与热开裂问题，基于格构离散单元法（LDEM）提出新的热力耦合数值模型. 通过格构离散体系与连续体传热过程的等效换算，结合格构单元的线膨胀公式，在LDEM中实现温度传导与裂纹扩展的数值模拟. 以平板的热传导与热弹性应力问题、由温度梯度与热失配引起的开裂问题为例，验证所提模型. 将所提模型应用于细观混凝土温度?应力试验的数值模拟中. 结果表明，LDEM热力耦合模型能够有效模拟准脆性材料的热传导过程、在温度影响下的裂纹萌生与扩展，是研究准脆性材料热开裂过程与机理的有力工具.

关键词： 格构离散单元法(LDEM), 热力耦合, 热传导, 热开裂, 准脆性材料

Fig.1 Discrete mode and basic structure of lattice discrete element method

Fig.2 Schematic diagram of lattice discrete element method mesh and crack simulation

Fig.3 Equivalent parallel section of continuum and basic module

Fig.4 Bilinear constitutive model of load-strain

Fig.5 Comparison of LDEM solution and analytical solution of plate temperature and stress at different times

Fig.6 Comparison of plate temperature distribution under different grid sizes

Fig.7 Comparison of stress results between LDEM solution and analytical solutions under different mesh sizes

Fig.8 Comparison of finite element solution and LDEM solution for temperature distribution of flat plate

Fig.9 Comparison of LDEM solution and analytical solution of plate temperature and stress at different times

Fig.10 Thermal cracking experiment on non-uniformity of reinforced concrete materials

Tab.1 Thermal and mechanical parameters of reinforced concrete

Fig.11 Comparison between LDEM solution and analytical solutions of concrete circumferential stress

Fig.12 Crack morphology of reinforced concrete at different temperature rise times

Tab.2 Thermal and mechanical parameters of granite

Fig.13 Temperature distribution and crack morphology of granite at different times

Fig.14 Experimental results and numerical simulation results of granite thermal cracking

Fig.15 Mesoscopic models of concrete with different aggregate volume fractions

Tab.3 Thermal and mechanical parameters of concrete components

Fig.16 Temperature and deformation distribution of specimens with different aggregate volume fraction

Fig.17 Shrinkage comparison of concrete specimens with different aggregate volume fraction

Fig.18 Comparison of constraint stresses of concrete specimens with different aggregate volume fraction

Fig.19 Cracking pattern of specimens with different aggregate volume fractions


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