Analysis of localized cracking in quasi-brittle materials with a micro-mechanics based friction-damage approach

Zhao, Lun‐Yang; Shao, Jian‐Fu; Zhu, Qi‐Zhi

doi:10.1016/j.jmps.2018.06.017

Cited by 54 publications

(34 citation statements)

References 51 publications

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“…In this evolution, the damage localization is a consequence of the softening response of the model (Dascalu, 2017) and transition to discontinuous crack is performed numerically at complete failure. Other approaches, like the one in Zhao et al (2018) where the localization process is described with a traction-based a) b) To explore the possibility of reproducing the experimental data for the In these simulations the value of the microstructural length is ε = 8 × 10 −5 m. Note that this value is close to the one considered for the mode I failure ε = 6 × 10 −5 m in the compact compression specimen impact test Dascalu and Gbetchi (2019). The particular influence of G c in Figure 14 is also obtained when the critical energy is kept constant but the length ε…”

Section: Local Response Analysismentioning

confidence: 99%

Dynamic shear damage with frictional sliding on microcracks

Atiezo

Gbetchi

Dascalu

2020

Engineering Fracture Mechanics

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A new damage model for rapid shear failure in brittle solids is constructed in the present contribution using a two-scale approach. The model is obtained by asymptotic homogenization from microstructures with dynamically evolving microcracks, in mode II, with unilateral contact and friction conditions on their lips. The analysis of the local effective response of the model reveals strain-rate and microstructural size effects and the influence of the smallscale friction. Results of numerical simulations for mode II brittle failure of PMMA specimens under impact loading are presented and compared with the experimental data. The failure evolution is found to be in good agreement with that reported in the experiments.

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Section: Local Response Analysismentioning

confidence: 99%

Dynamic shear damage with frictional sliding on microcracks

Atiezo

Gbetchi

Dascalu

2020

Engineering Fracture Mechanics

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“…While most modeling and simulation of quasi-brittle fracture assume material homogeneity that could not accurately predict micro-cracking and its effect on the overall load-displacement curves (Brunig and Michalski, 2020;Hien Poh and Swaddiwudhipong, 2009;Kurumatani et al, 2016;Zhao et al, 2018), the multiscale modeling efforts could take into account the microstructural heterogeneity with the help of X-ray micro-CT to build realistic concrete models using lattice approach (Jivkov et al, 2013), discrete element model (Ngai et al, 2020;Nitka and Tejchman, 2018) and finite element method (Luo et al, 2020). The combined cohesive fracture model and micro-CT turned out to be an effective way to simulate fracture in mesoscale (Ren et al, 2015;Trawi nski et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Multiscale modeling of damage and fracture in freeze-thawed shotcrete

Liu

Qiao

Sun

2021

International Journal of Damage Mechanics

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Degradation of fracture resistance, which is a phenomenon encountered in shotcrete as exposed to the cold environment, can lead to structural failure. Microstructural damage induced by freeze-thaw (F-T) cycles serves as the presage to macroscopic failure processes. To reveal the fundamental mechanisms of degradation, it is crucial to characterize and model the F-T damage in multiscales for the heterogeneous nature of shotcrete. In this paper, X-ray micro-computed tomography (micro-CT) is employed to describe the F-T damage in microscale and mesoscale shotcrete. Changes of the modulus of elasticity in cement paste and interfacial transition zone are analyzed using the cloud map obtained from the nanoindentation test. Micro-CT images capture the microstructural geometry, such as microcracks, aggregates, pores, and cement paste. Subsequently, microstructure-based finite-element modeling is developed to simulate the overall mechanical properties and fracture behavior of freeze-thawed shotcrete. The effect of F-T-induced damage is investigated on the three-phase fracture processes in terms of load versus deflection curves and cracking paths of shotcrete beams. The modeling results for damage and fracture are validated against the experimental data using the three-point bending tests of shotcrete beams.

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“…Several studies have been devoted to the micromechanical modeling of failure mechanisms in rock-like materials [1,4,[8][9][10][11][12][13][14], where a coupling between microcrack growth and frictional sliding is usually considered to derive constitutive equations based on homogenization schemes. Thereby, opening microcracks result in a macroscopically brittle response, while the frictional sliding of closed microcracks is assumed to obey a Coulomb-type friction law, leading to macroscopic pressure-dependent plasticity coupled to damage.…”

Section: Introductionmentioning

confidence: 99%

A micromechanics-based variational phase-field model for fracture in geomaterials with brittle-tensile and compressive-ductile behavior

Ulloa,

Wambacq,

Alessi

et al. 2021

Preprint

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This paper presents a framework for modeling failure in quasi-brittle geomaterials under different loading conditions. A micromechanics-based model is proposed in which the field variables are linked to physical mechanisms at the microcrack level: damage is related to the growth of microcracks, while plasticity is related to the frictional sliding of closed microcracks. Consequently, the hardening/softening functions and parameters entering the free energy follow from the definition of a single degradation function and the elastic material properties. The evolution of opening microcracks in tension leads to brittle behavior and mode I fracture, while the evolution of closed microcracks under frictional sliding in compression/shear leads to ductile behavior and mode II fracture. Frictional sliding is endowed with a non-associative law, a crucial aspect of the model that considers the effect of dilation and allows for realistic material responses with non-vanishing frictional energy dissipation. Despite the non-associative law, a variationally consistent formulation is presented using notions of energy balance and stability, following the energetic formulation for rate-independent systems. The material response of the model is first described, followed by several benchmark finite element simulations. The results highlight the ability of the model to describe tensile, shear, and mixed-mode fracture, as well as responses with brittle-to-ductile transition. A key result is that, by virtue of the micromechanical arguments, realistic failure modes can be captured, without resorting to the usual heuristic modifications considered in the phase-field literature. The numerical results are thoroughly discussed with reference to previous numerical studies, experimental evidence, and analytical fracture criteria.

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Analysis of localized cracking in quasi-brittle materials with a micro-mechanics based friction-damage approach

Cited by 54 publications

References 51 publications

Dynamic shear damage with frictional sliding on microcracks

Dynamic shear damage with frictional sliding on microcracks

Multiscale modeling of damage and fracture in freeze-thawed shotcrete

A micromechanics-based variational phase-field model for fracture in geomaterials with brittle-tensile and compressive-ductile behavior

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