Revisiting statistical size effects on compressive failure of heterogeneous materials, with a special focus on concrete

Vu, Chi-Cong; Weiss, Jérôme; Plé, Olivier; Amitrano, David; Vandembroucq, Damien

doi:10.1016/j.jmps.2018.07.022

Cited by 32 publications

(57 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These studies considered that during the initiation phase, the faults progressively unpin from the rock matrix before generalized frictional sliding takes place at the depinning transition. Brittle compressive failure of heterogeneous materials was also recently mapped to the depinning transition (Vu et al, ; Weiss et al, ), and associated predictions for system size effects on failure strength were proposed (Vu et al, ). The scaling predictions of the depinning framework are qualitatively consistent with our observations, in terms of incremental damage evolution, largest damage increment, or distribution of damage increments (see Table ).…”

Section: Discussionmentioning

confidence: 99%

Dynamics of Microscale Precursors During Brittle Compressive Failure in Carrara Marble

et al. 2019

Self Cite

View full text Add to dashboard Cite

Microscale heterogeneities influence failure mechanisms in the crust. To track the microstructural changes in rock samples when loaded until failure, we employed a novel experimental technique that couples dynamic X‐ray microtomography imaging with a triaxial deformation apparatus. We studied the brittle failure of Carrara marble under triaxial compression. Dynamic tomographic data revealed the spatial organization of microfractures and damage increments characterizing the precursory activity toward catastrophic failure. We quantified the emergence of scaling relationships between microstructural parameters, including total damage volume, incremental damage volume, the largest connected microfracture, and the applied differential stress. The total volume of microfractures accumulated from the beginning of the experiment as well as the incremental damage showed power law increase. The growth of the largest connected microfracture was related to differential stress as a power law with divergence at failure. The microfracture volume increments were distributed according to a power law with an upper cutoff that itself spanned the entire volume toward failure. These characteristic features of brittle failure in Carrara marble under compression are in agreement with theoretical models that consider failure as a critical phase transition. We also observed that, very close to failure, several power law relationships broke down, which we interpret to be related to the coalescence of the largest microfractures in a finite size volume. Scaling laws and associated exponents computed from our data are compared with predictions made from theoretical and numerical models. Our results show that precursors of macroscopic brittle failure in Carrara marble follow predictable trends.

show abstract

Section: Discussionmentioning

confidence: 99%

Dynamics of Microscale Precursors During Brittle Compressive Failure in Carrara Marble

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…In summary, if the power law of the size effect of the strength is valid, based on the energy criterion, the general power exponents are found by dimensional analysis. Based on the published experimental data [8][9][10][11] for different materials, the power law of the size effect of the strength seems well established, whereas the exponents can vary to a large extent, as shown below.…”

Section: The Size Effect Of the Strength Of A Finite Bodymentioning

confidence: 94%

“…(ii) The size effect on the compressive failure of concrete Vu et al [9] investigated the size effect on the compressive failure of heterogeneous materials. The materials were mainly concrete materials.…”

Section: The Size Effect Of the Strength Of A Finite Bodymentioning

confidence: 99%

The intrinsic nature of materials failure and the global non-equilibrium energy criterion

Wang

2020

Sci. China Phys. Mech. Astron.

View full text Add to dashboard Cite

Materials failure under some sort of loading is a well-known natural phenomenon, and the reliable prediction of materials failure is the most important key issue for many different kinds of engineering structures based on their safety considerations. In this research, instead of establishing empirical models, the material failure process was modeled as a nonequilibrium process based on the microstructural mechanism. Then, the evolution equations were established and the stability analysis was carried out to obtain the critical conditions for the materials failure. It was found that the material strength was a global property in nature, and the commonly used local criteria based on the most dangerous point failure were not the rational assumption. Based on the idea, some examples were considered, such as the size effect of the material strength, the strength of the polycrystalline metals, the stress-strain relationship of the ultrafine crystalline metal with nanoscale growth twins, the strength of lithium niobite crystal specimens with notches. All of the theoretical predictions gave reasonable results compared with the experimental data.

show abstract

“…0.85-0.95 and is lower for lower strength concrete. The scale effect in the case of normal-weight concrete of different types-plain, ordinary, self-compacting, high strength and ultra-high strength (reactive powder concrete), fiber reinforced-was proven in numerous studies, e.g., [23][24][25][26][27][28][29][30][31][32][33][34]. There are two general conclusions resulting from this research concerning normal-weight concrete: (1) the higher the concrete strength, the lesser the scale effect; (2) the specimen slenderness is the crucial parameter determining the scale effect.…”

mentioning

confidence: 99%

Size Effect in Compressive Strength Tests of Cored Specimens of Lightweight Aggregate Concrete

Domagała¹

2020

Materials

View full text Add to dashboard Cite

The aim of this paper is to discuss the unrecognized problem of the scale effect in compressive strength tests determined for cored specimens of lightweight aggregate concrete (LWAC) against the background of available data on the effect for normal-weight concrete (NWAC). The scale effect was analyzed taking into consideration the influence of slenderness (λ = 1.0, 1.5, 2.0) and diameter (d = 80, 100, 125, and 150 mm) of cored specimens, as well as the type of lightweight aggregate (expanded clay and sintered fly ash) and the type of cement matrix (w/c = 0.55 and 0.37). The analysis of the results for four lightweight aggregate concretes revealed no scale effect in compressive strength tests determined on cored specimens. Neither the slenderness, nor the core diameter seemed to affect the strength results. This fact should be explained by the considerably better structural homogeneity of the tested lightweight concretes in comparison to normal-weight ones. Nevertheless, there were clear differences between the results obtained on molded and cored specimens of the same shape and size.

show abstract

Revisiting statistical size effects on compressive failure of heterogeneous materials, with a special focus on concrete

Cited by 32 publications

References 61 publications

Dynamics of Microscale Precursors During Brittle Compressive Failure in Carrara Marble

Dynamics of Microscale Precursors During Brittle Compressive Failure in Carrara Marble

The intrinsic nature of materials failure and the global non-equilibrium energy criterion

Size Effect in Compressive Strength Tests of Cored Specimens of Lightweight Aggregate Concrete

Contact Info

Product

Resources

About