2021
DOI: 10.1177/10567895211045116
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A continuum damage-based three-dimensional fracture simulation method for brittle-like materials

Abstract: Current numerical methods cannot simulate well three-dimensional (3D) fracture process of solids. In order to study 3D fracture process of brittle-like materials and improve crack growth path prediction accuracy, a method is developed based on continuum damage mechanics and finite element method. In the developed method, damage is computed by homogenizing stress or strain in the preset characteristic field for reducing the spurious mesh sensitivity. Meanwhile, an additional procedure is used to consider the un… Show more

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Cited by 16 publications
(6 citation statements)
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“…The results show that there are five fundamental initiation and propagation modes of HFs along the vertical direction of the bedding plane, and the final fracture geometry shape can be divided into four types: simple fracture, fishbone-like fracture, fishbone-like fracture with open fracture and multilateral fishbone-like fracture network. Due to the limitation of the laboratory scale, quantitative analysis is difficult to conduct, so many scholars carry out hydraulic fracturing research employing numerical simulations, including some methods based on the continuum model, such as the finite element method (FEM), extended finite element method (XFEM), boundary element method (BEM) and displacement discontinuity method (DDM), and some methods based on the discontinuous models such as the discrete element method (DEM) and phase-field method (PFM) developed in recent years (Sun and Xu 2022;Zhao et al, 2017;Zou et al, 2017;Azinpour et al, 2021;Zeng et al, 2019;Jamaloei 2021). Based on a previously developed two-dimensional RFPA model, Li et al (2012) established a three-dimensional finite element model considering seepage, damage and stress fields to simulate hydraulic fracturing.…”
Section: Introductionmentioning
confidence: 99%
“…The results show that there are five fundamental initiation and propagation modes of HFs along the vertical direction of the bedding plane, and the final fracture geometry shape can be divided into four types: simple fracture, fishbone-like fracture, fishbone-like fracture with open fracture and multilateral fishbone-like fracture network. Due to the limitation of the laboratory scale, quantitative analysis is difficult to conduct, so many scholars carry out hydraulic fracturing research employing numerical simulations, including some methods based on the continuum model, such as the finite element method (FEM), extended finite element method (XFEM), boundary element method (BEM) and displacement discontinuity method (DDM), and some methods based on the discontinuous models such as the discrete element method (DEM) and phase-field method (PFM) developed in recent years (Sun and Xu 2022;Zhao et al, 2017;Zou et al, 2017;Azinpour et al, 2021;Zeng et al, 2019;Jamaloei 2021). Based on a previously developed two-dimensional RFPA model, Li et al (2012) established a three-dimensional finite element model considering seepage, damage and stress fields to simulate hydraulic fracturing.…”
Section: Introductionmentioning
confidence: 99%
“…Nowadays, concrete has long been used in various engineering structures such as buildings, utility tunnels, nuclear power plants, and so on (Ahmed et al., 2021; Bai et al., 2022a; Bao et al., 2023; Castillo et al., 2021; Park et al., 2022; Shen et al.,2021; Sun, 2022; Sun et al., 2020; Sun and Xu, 2022; Voyiadjis et al., 2022; Wu et al., 2022; Xu et al., 2018). During the service periods of the engineering structures, fire risk is unavoidable (Aslani and Samali, 2015; Nuruzzaman et al., 2023; Sun et al., 2022a; 2023).…”
Section: Introductionmentioning
confidence: 99%
“…The damage variable is assumed as a scalar for isotropic damage models, and is typically defined as where A is the total cross-sectional area of the mesoscale representative volume element (RVE), trueA˜ is the effective cross-sectional area. The development of CDM provides a new approach to study the damage process and failure for different structures with different materials (Fan et al., 2020; Park et al., 2021; Sun, 2018; Sun and Xu, 2021; Sun et al., 2019). Based on CDM, Chaboche and Lesne (1988), Lemaitre (1987), Lemaitre and Desmorat (2005) successively proposed several models for fatigue damage, which were frequently introduced into studies for finite element simulation of CFCI (Cui et al., 2020; Hu et al., 2016; Jie et al., 2018; Sun, 2018; Zheng and Wang, 2020).…”
Section: Introductionmentioning
confidence: 99%