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1

de With, G. "Environment induced failure of brittle and quasi-brittle materials." Materials Chemistry and Physics 75, no. 1-3 (April 2002): 229–34. http://dx.doi.org/10.1016/s0254-0584(02)00067-6.

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2

Berto, Filippo, Liviu Marsavina, Majid R. Ayatollahi, Sergei V. Panin, and Konstantinos I. Tserpes. "Brittle or Quasi-Brittle Fracture of Engineering Materials 2016." Advances in Materials Science and Engineering 2016 (2016): 1–2. http://dx.doi.org/10.1155/2016/7094298.

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3

Zhang, Liang, and Wenbin Yu. "Constitutive modeling of damageable brittle and quasi-brittle materials." International Journal of Solids and Structures 117 (June 2017): 80–90. http://dx.doi.org/10.1016/j.ijsolstr.2017.04.002.

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4

Kornev, V. M., and A. A. Zinov’ev. "Quasi-brittle rock failure model." Journal of Mining Science 49, no. 4 (July 2013): 576–82. http://dx.doi.org/10.1134/s1062739149040084.

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5

Chen, Tielin, Chao Li, and Dingli Zhang. "A Numerical Simulation of Effects of Softening and Heterogeneity on the Stress Intensity Factor of Quasi-Brittle Material." Advances in Mechanical Engineering 6 (January 1, 2014): 586472. http://dx.doi.org/10.1155/2014/586472.

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A numerical approach to simulate the crack initiation and propagation process of the nonlinear fracture behavior of the quasi-brittle materials under tensile loading is presented. The nonlinear fracture of Mode I of quasi-brittle material is analyzed by considering the effects of microscopic softening rate and heterogeneity. The results show that the softening rate and the heterogeneity of quasi-brittle material affect the values of stress intensity factor K I. The softening index affects merely the size of the plastic zones while the heterogeneity causes the more sophisticated response of quasi-brittle materials.
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6

Vala, Jiří. "Numerical approaches to the modelling of quasi-brittle crack propagation." Archivum Mathematicum, no. 3 (2023): 295–303. http://dx.doi.org/10.5817/am2023-3-295.

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7

Karpas, E., and F. Kun. "Disorder-induced brittle–to–quasi-brittle transition in fiber bundles." EPL (Europhysics Letters) 95, no. 1 (June 21, 2011): 16004. http://dx.doi.org/10.1209/0295-5075/95/16004.

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8

Zhao, Yishu. "Bi-parametric criterion applied to brittle and quasi-brittle fracture." Engineering Fracture Mechanics 49, no. 1 (September 1994): 133–41. http://dx.doi.org/10.1016/0013-7944(94)90117-1.

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9

Malkin, A. I., F. A. Kulikov-Kostyushko, and T. A. Shumikhin. "Statistical kinetics of quasi-brittle fracture." Technical Physics 53, no. 3 (March 2008): 334–42. http://dx.doi.org/10.1134/s1063784208030080.

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10

Shah, S. P., and C. Ouyang. "Toughening Mechanisms in Quasi-Brittle Materials." Journal of Engineering Materials and Technology 115, no. 3 (July 1, 1993): 300–307. http://dx.doi.org/10.1115/1.2904222.

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Fracture processes in cement-based materials are characterized by a large-scale fracture process zone, localization of deformation, and strain softening. Many studies have been conducted to understand the toughening mechanisms of such quasi-brittle materials and to theoretically model their nonlinear response. This paper summarizes two innovative experimental techniques which are being developed at the ACBM Center to better define the fracture process zone in cement-based materials. A brief summary is also given of two types of theoretical approaches which attempt to simulate some of the observed nonlinear fracture response of these materials.
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11

Davydova, Marina, Sergey Uvarov, and Vasiliy Chudinov. "Scaling Law of Quasi Brittle Fragmentation." Procedia Materials Science 3 (2014): 580–85. http://dx.doi.org/10.1016/j.mspro.2014.06.096.

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12

Labuz, J. F., and L. Biolzi. "Characteristic strength of quasi-brittle materials." International Journal of Solids and Structures 35, no. 31-32 (November 1998): 4191–203. http://dx.doi.org/10.1016/s0020-7683(97)00309-0.

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13

Imachi, Michiya, Hiroki Takahashi, and Satoyuki Tanaka. "Quasi-brittle fracture model in peridynamics." Proceedings of The Computational Mechanics Conference 2019.32 (2019): 281. http://dx.doi.org/10.1299/jsmecmd.2019.32.281.

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14

Malkin, A. I., F. A. Kulikov-Kostyushko, and T. A. Shumikhin. "Statistical kinetics of quasi-brittle fracture." Doklady Physical Chemistry 406, no. 2 (February 2006): 33–37. http://dx.doi.org/10.1134/s0012501606020035.

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15

Pelissou, Céline, and Frédéric Lebon. "Asymptotic modeling of quasi-brittle interfaces." Computers & Structures 87, no. 19-20 (October 2009): 1216–23. http://dx.doi.org/10.1016/j.compstruc.2008.12.002.

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16

Karihaloo, B. L., and X. Huang. "Tensile response of quasi-brittle materials." Pure and Applied Geophysics PAGEOPH 137, no. 4 (1991): 461–87. http://dx.doi.org/10.1007/bf00879045.

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17

Yu, Zhiwu, Zhi Shan, and Jianfeng Mao. "Fatigue deterioration of quasi-brittle materials." International Journal of Fatigue 118 (January 2019): 185–91. http://dx.doi.org/10.1016/j.ijfatigue.2018.09.006.

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18

Ray, Purusattam. "Statistical physics perspective of fracture in brittle and quasi-brittle materials." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2136 (November 26, 2018): 20170396. http://dx.doi.org/10.1098/rsta.2017.0396.

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We discuss the physics of fracture in terms of the statistical physics associated with the failure of elastic media under applied stresses in presence of quenched disorder. We show that the development and the propagation of fracture are largely determined by the strength of the disorder and the stress field around them. Disorder acts as nucleation centres for fracture. We discuss Griffith's law for a single crack-like defect as a source for fracture nucleation and subsequently consider two situations: (i) low disorder concentration of the defects, where the failure is determined by the extreme value statistics of the most vulnerable defect (nucleation regime) and (ii) high disorder concentration of the defects, where the scaling theory near percolation transition is applicable. In this regime, the development of fracture takes place through avalanches of a large number of tiny microfractures with universal statistical features. We discuss the transition from brittle to quasi-brittle behaviour of fracture with the strength of disorder in the mean-field fibre bundle model. We also discuss how the nucleation or percolation mode of growth of fracture depends on the stress distribution range around a defect. We discuss the corresponding numerical simulation results on random resistor and spring networks. This article is part of the theme issue ‘Statistical physics of fracture and earthquakes’.
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19

Mudunuru, Maruti Kumar, Nishant Panda, Satish Karra, Gowri Srinivasan, Viet T. Chau, Esteban Rougier, Abigail Hunter, and Hari S. Viswanathan. "Surrogate Models for Estimating Failure in Brittle and Quasi-Brittle Materials." Applied Sciences 9, no. 13 (July 3, 2019): 2706. http://dx.doi.org/10.3390/app9132706.

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In brittle fracture applications, failure paths, regions where the failure occurs and damage statistics, are some of the key quantities of interest (QoI). High-fidelity models for brittle failure that accurately predict these QoI exist but are highly computationally intensive, making them infeasible to incorporate in upscaling and uncertainty quantification frameworks. The goal of this paper is to provide a fast heuristic to reasonably estimate quantities such as failure path and damage in the process of brittle failure. Towards this goal, we first present a method to predict failure paths under tensile loading conditions and low-strain rates. The method uses a k-nearest neighbors algorithm built on fracture process zone theory, and identifies the set of all possible pre-existing cracks that are likely to join early to form a large crack. The method then identifies zone of failure and failure paths using weighted graphs algorithms. We compare these failure paths to those computed with a high-fidelity fracture mechanics model called the Hybrid Optimization Software Simulation Suite (HOSS). A probabilistic evolution model for average damage in a system is also developed that is trained using 150 HOSS simulations and tested on 40 simulations. A non-parametric approach based on confidence intervals is used to determine the damage evolution over time along the dominant failure path. For upscaling, damage is the key QoI needed as an input by the continuum models. This needs to be informed accurately by the surrogate models for calculating effective moduli at continuum-scale. We show that for the proposed average damage evolution model, the prediction accuracy on the test data is more than 90%. In terms of the computational time, the proposed models are ≈ O ( 10 6 ) times faster compared to high-fidelity fracture simulations by HOSS. These aspects make the proposed surrogate model attractive for upscaling damage from micro-scale models to continuum models. We would like to emphasize that the surrogate models are not a replacement of physical understanding of fracture propagation. The proposed method in this paper is limited to tensile loading conditions at low-strain rates. This loading condition corresponds to a dominant fracture perpendicular to tensile direction. The proposed method is not applicable for in-plane shear, out-of-plane shear, and higher strain rate loading conditions.
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20

Heard, P. J., and Peter E. J. Flewitt. "Study of Reticulated Vitreous Carbon Foam as a Quasi-Brittle Material." Key Engineering Materials 665 (September 2015): 229–32. http://dx.doi.org/10.4028/www.scientific.net/kem.665.229.

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Quasi-brittle materials are those where the addition of specific microstructural features such as porosity can lead to departure from linear elastic behaviour prior to maximum force, followed by graceful failure. A simple example of a quasi-brittle material is reticulated vitreous carbon foam; an open-cell structure consisting of brittle ligaments connected in a three-dimensional array. Tensile testing measurements have been made on foams with various pore and ligament dimensions; force - displacement combined with acoustic monitoring together with the evaluation of the associated elastic moduli and fracture strengths. These tests give insights into the mechanisms of quasi-brittle failure, and the results are explored using simple considerations of elastic energy storage throughout process zones.
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21

Shen, Xin Pu, and Xiao Chun Wang. "Comparative Studies on Mixed Mode Cohesive Interface Cracks of Quasi-Brittle Materials." Applied Mechanics and Materials 584-586 (July 2014): 1780–88. http://dx.doi.org/10.4028/www.scientific.net/amm.584-586.1780.

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Concerning on the modelling of quasi-brittle fracture process zone at interface crack of quasi-brittle materials and structures, typical constitutive models of mixed mode interface cracks were compared. Numerical calculations of the constitutive behaviours of selected models were carried out at local level. Aiming at the simulation of quasi-brittle fracture of concrete-like materials and structures, the emphases of the qualitative comparisons of selected cohesive models are focused on: (1) the fundamental mixed mode fracture behaviours of selected interface crack models; (2) dilatancy properties of the selected models under mixed mode fracture loading conditions.
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22

Skripnyak, Vladimir V., Evgeniya G. Skripnyak, Vladimir A. Skripnyak, Irina K. Vaganova, Anatoly M. Bragov, Andrei K. Lomunov, and Leonid A. Igumnov. "Multiscale Simulation of Porous Quasi-Brittle Ceramics Fracture." Applied Mechanics and Materials 756 (April 2015): 196–204. http://dx.doi.org/10.4028/www.scientific.net/amm.756.196.

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Multiscale computer simulation approach has been applied to research mechanisms of failure in ceramic nanostructured ceramics under dynamic loading. The obtained experimental and theoretical data indicate quasi-brittle fracture of nanostructured ZrB2 ceramics under dynamic compression and tension. Damage nucleation and accumulation in quasi brittle nanostructured ceramics were simulated under impact loadings. Fracture of nanostructured ultra-high temperature ceramics under pulse and shock-wave loadings is provided by fast processes of intercrystalline brittle fracture and relatively slow processes of quasi-brittle failure via growth and coalescence of opened microcracks. For nanostructures ZrB2 ceramics with porosity of 7 %, the compressive strength at strain rate of 1800 s-1 is equal to 2440±50 MPa, the tensile strength at strain rate of 300 s-1 is equal to 155±20 MPa.
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23

Suknev, Sergey. "Nonlocal Criteria for Brittle and Quasi-Brittle Fracture of Geomaterials and Rocks." E3S Web of Conferences 56 (2018): 02003. http://dx.doi.org/10.1051/e3sconf/20185602003.

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Nonlocal criteria are used for prediction materials and rock mass failure near stress concentrations (pores, faults, openings, excavations). A common property of nonlocal fracture criteria is the introduction of the intrinsic material length characterizing its microstructure, which allows one to describe the size effect in conditions of stress concentration. At the same time the scope of their application is limited to cases of brittle or quasi-brittle fracture with a small fracture process zone. To expand the scope of the criteria for cases of fracture with a developed fracture process zone, it is proposed to abandon the hypothesis of the size of this zone as a material constant, associated only with the material structure. New fracture criteria are proposed, which are the development of the average stress criterion, and point stress criterion, and which contain a complex parameter that characterizes the size of the fracture process zone and accounts not only for the material structure, but also plastic properties of the material, geometry of the sample, and its loading conditions. Expressions are obtained for the critical pressure in the problem of the formation of tensile cracks under compression in the samples of geomaterials with a circular hole. The calculation results are in good agreement with the experimental data on the fracture of drilled gypsum plates.
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24

Petrov, Yuri V., and Vladimir Bratov. "Multiscale Fracture Model for Quasi-Brittle Materials." Applied Mechanics and Materials 82 (July 2011): 160–65. http://dx.doi.org/10.4028/www.scientific.net/amm.82.160.

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Fracture of quasi-brittle heterogeneous materials is steered by processes at several different scale levels. These processes can progress independently or affect each other. In order to model fracture of such materials one should account for all rupture processes contributing to overall fracture process. This paper is presenting structural-temporal approach for analysis of multiscale nature of brittle fracture. Notion of spatial-temporal cell for different scale levels is introduced. Problem of experimental determination of a fixed scale level is discussed. Possible interconnections of this scale level with higher and lower scale levels are discussed. It is shown that this can give a possibility to predict fracture on a higher (real) scale level having experimental data obtained on a lower (laboratory) scale. This possibility is of extreme importance for many applications where the possibility to evaluate material strength properties on real structure scale level does not exist (ex. geological objects, big concrete structures, trunk pipelines, etc.).
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25

Liang, Robert Y., and Yuan-Neng Li. "Fracture Energy Determination of Quasi-Brittle Materials." Journal of Materials in Civil Engineering 7, no. 3 (August 1995): 168–73. http://dx.doi.org/10.1061/(asce)0899-1561(1995)7:3(168).

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26

Garroni, Adriana, and Christopher J. Larsen. "Threshold-based Quasi-static Brittle Damage Evolution." Archive for Rational Mechanics and Analysis 194, no. 2 (October 2, 2008): 585–609. http://dx.doi.org/10.1007/s00205-008-0174-9.

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27

Challamel, Noël, Christophe Lanos, and Charles Casandjian. "Creep damage modelling for quasi-brittle materials." European Journal of Mechanics - A/Solids 24, no. 4 (July 2005): 593–613. http://dx.doi.org/10.1016/j.euromechsol.2005.05.003.

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28

Ostertag, Claudia P., and ChongKu Yi. "Quasi-brittle behavior of cementitious matrix composites." Materials Science and Engineering: A 278, no. 1-2 (February 2000): 88–95. http://dx.doi.org/10.1016/s0921-5093(99)00588-2.

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29

Hack, J. E., S. P. Chen, and D. J. Srolovitz. "A kinetic criterion for quasi-brittle fracture." Acta Metallurgica 37, no. 7 (July 1989): 1957–70. http://dx.doi.org/10.1016/0001-6160(89)90080-1.

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30

McMahon, C. J., J. A. Pfaendtner, and R. C. Muthiah. "Quasi-static intergranular brittle fracture: Dynamic embrittlement." Czechoslovak Journal of Physics 45, no. 11 (November 1995): 965–78. http://dx.doi.org/10.1007/bf01692013.

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31

Ou, Zhuo-Cheng, Yi-Bo Ju, Jing-Yan Li, Zhuo-Ping Duan, and Feng-Lei Huang. "Ubiquitiformal Crack Extension in Quasi-Brittle Materials." Acta Mechanica Solida Sinica 33, no. 5 (July 8, 2020): 674–91. http://dx.doi.org/10.1007/s10338-020-00171-2.

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32

PEERLINGS, R. H. J., R. DE BORST, W. A. M. BREKELMANS, and J. H. P. DE VREE. "GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS." International Journal for Numerical Methods in Engineering 39, no. 19 (October 15, 1996): 3391–403. http://dx.doi.org/10.1002/(sici)1097-0207(19961015)39:19<3391::aid-nme7>3.0.co;2-d.

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33

Raina, Arun. "Volume dependent fracture energy and brittle to quasi-brittle transition in intermetallic alloys." Engineering Fracture Mechanics 264 (April 2022): 108312. http://dx.doi.org/10.1016/j.engfracmech.2022.108312.

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34

Berto, F., M. Elices, M. R. Ayatollahi, S. V. Panin, and K. Tserpes. "Brittle or Quasi-Brittle Fracture of Engineering Materials: Recent Developments and New Challenges." Advances in Materials Science and Engineering 2014 (2014): 1–2. http://dx.doi.org/10.1155/2014/347485.

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35

Suknev, S. V. "Brittle and Quasi-Brittle Fracture of Geomaterials with Circular Hole in Nonuniform Compression." Journal of Mining Science 56, no. 2 (March 2020): 174–83. http://dx.doi.org/10.1134/s1062739120026625.

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36

Kawai, M. "Anisotropic size effect law for notched strength of unidirectional carbon/epoxy laminates – Part 1: Formulation." Journal of Composite Materials 51, no. 5 (July 28, 2016): 593–602. http://dx.doi.org/10.1177/0021998316651481.

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A multiaxial quasi-brittle failure criterion for notched orthotropic composites is developed with an emphasis on establishment of an analytical formula to predict their anisotropic notched strength for any notch size under any multiaxial proportional loading. It is formulated by replacing the principal unnotched strengths with the principal notched strengths in the framework of the Tsai–Hill static failure criterion for orthotropic composites. The effects of notch size and specimen width on the principal notched strengths are described by means of the Suo-Ho-Gong model that can consider notch ductile-to-brittle transition. From the proposed multiaxial quasi-brittle failure criterion, an analytical formula is derived to predict the notched strength of finite orthotropic composite plates under multiaxial proportional loading at any angle with the principal directions of material anisotropy. The notched strength prediction formula involves a generalized notch sensitivity parameter that can be defined for any multiaxial state of stress. The multiaxial notch sensitivity parameter allows uniquely defining an intrinsic equivalent mode-I fracture toughness that is independent of notch size as well as of specimen width for any multiaxial proportional loading. Furthermore, an anisotropic size effect law for apparent equivalent mode-I fracture toughness that considers not only the effect of notch size but also the effect of specimen width is derived from the failure criterion. Finally, a quasi-brittle failure criterion for notched interface is briefly discussed as a particular case of the proposed quasi-brittle failure criterion for notched orthotropic composites.
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37

Suknev, Sergey V. "THE USE OF NONLOCAL CRITERIA IN FORECASTING FRACTURE OF QUASI-BRITTLE MATERIAL WITH A HOLE UNDER COMPRESSION." Industrial laboratory. Diagnostics of materials 85, no. 4 (May 15, 2019): 50–56. http://dx.doi.org/10.26896/1028-6861-2019-85-4-50-56.

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The study is aimed at the development of the new failure criteria for quasi-brittle materials in conditions of stress concentration. The possibility of using non-local failure criteria for description of the brittle, quasi-brittle and ductile fracture of the materials with notches is analyzed. The general feature of these criteria consists in the introduction of the internal dimension characterizing the structure of the material, which provides the possibility of describing a large-scale effect in conditions of the stress concentration and thereby expand the area of their application compared to traditional criteria though it is limited to the cases of brittle or quasi-brittle fracture with a small pre-ffacture zone. To broaden the scope of their application to quasi-brittle fracture with a developed pre-fracture zone we propose to abandon the hypothesis about the size of the pre-fracture zone as a constant related only to the structure of the material. A number of the new nonlocal criteria, which are the development of the criteria of the mean stress and fictitious crack, are developed, substantiated from the physical standpoint, and proved experimentally. These criteria contain a complex parameter characterizing the size of the pre-fracture zone and taking into account not only the structure, but also the ductile properties of the material, specimen geometry and loading conditions. The expressions for the critical pressure in the problem of tensile crack formation upon compression of the samples of geomaterials with a circular hole are derived. The results of calculations match rather well the experimental data on the destruction of drilled gypsum slabs.
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38

Zhang, Haoran, Lisheng Liu, Xin Lai, Hai Mei, and Xiang Liu. "Thermo-Mechanical Coupling Model of Bond-Based Peridynamics for Quasi-Brittle Materials." Materials 15, no. 20 (October 21, 2022): 7401. http://dx.doi.org/10.3390/ma15207401.

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The mechanical properties of quasi-brittle materials, which are widely used in engineering applications, are often affected by the thermal condition of their service environment. Moreover, the materials appear brittle when subjected to tensile loading and show plastic characteristics under high pressure. These two phenomena manifest under different circumstances as completely different mechanical behaviors in the material. To accurately describe the mechanical response, the material behavior, and the failure mechanism of quasi-brittle materials with the thermo-mechanical coupling effect, the influence of the thermal condition is considered in calculating bond forces in the stretching and compression stages, based on a new bond-based Peridynamic (BB-PD) model. In this study, a novel bond-based Peridynamic, fully coupled, thermo-mechanical model is proposed for quasi-brittle materials, with a heat conduction component to account for the effect of the thermo-mechanical coupling. Numerical simulations are carried out to demonstrate the validity and capability of the proposed model. The results reveal that agreement could be found between our model and the experimental data, which show good reliability and promise in the proposed approach.
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39

Zhang, Haoran, Lisheng Liu, Xin Lai, Hai Mei, and Xiang Liu. "Thermo-Mechanical Coupling Model of Bond-Based Peridynamics for Quasi-Brittle Materials." Materials 15, no. 20 (October 21, 2022): 7401. http://dx.doi.org/10.3390/ma15207401.

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The mechanical properties of quasi-brittle materials, which are widely used in engineering applications, are often affected by the thermal condition of their service environment. Moreover, the materials appear brittle when subjected to tensile loading and show plastic characteristics under high pressure. These two phenomena manifest under different circumstances as completely different mechanical behaviors in the material. To accurately describe the mechanical response, the material behavior, and the failure mechanism of quasi-brittle materials with the thermo-mechanical coupling effect, the influence of the thermal condition is considered in calculating bond forces in the stretching and compression stages, based on a new bond-based Peridynamic (BB-PD) model. In this study, a novel bond-based Peridynamic, fully coupled, thermo-mechanical model is proposed for quasi-brittle materials, with a heat conduction component to account for the effect of the thermo-mechanical coupling. Numerical simulations are carried out to demonstrate the validity and capability of the proposed model. The results reveal that agreement could be found between our model and the experimental data, which show good reliability and promise in the proposed approach.
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40

Zhang, Haoran, Lisheng Liu, Xin Lai, Hai Mei, and Xiang Liu. "Thermo-Mechanical Coupling Model of Bond-Based Peridynamics for Quasi-Brittle Materials." Materials 15, no. 20 (October 21, 2022): 7401. http://dx.doi.org/10.3390/ma15207401.

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The mechanical properties of quasi-brittle materials, which are widely used in engineering applications, are often affected by the thermal condition of their service environment. Moreover, the materials appear brittle when subjected to tensile loading and show plastic characteristics under high pressure. These two phenomena manifest under different circumstances as completely different mechanical behaviors in the material. To accurately describe the mechanical response, the material behavior, and the failure mechanism of quasi-brittle materials with the thermo-mechanical coupling effect, the influence of the thermal condition is considered in calculating bond forces in the stretching and compression stages, based on a new bond-based Peridynamic (BB-PD) model. In this study, a novel bond-based Peridynamic, fully coupled, thermo-mechanical model is proposed for quasi-brittle materials, with a heat conduction component to account for the effect of the thermo-mechanical coupling. Numerical simulations are carried out to demonstrate the validity and capability of the proposed model. The results reveal that agreement could be found between our model and the experimental data, which show good reliability and promise in the proposed approach.
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41

Zhang, Haoran, Lisheng Liu, Xin Lai, Hai Mei, and Xiang Liu. "Thermo-Mechanical Coupling Model of Bond-Based Peridynamics for Quasi-Brittle Materials." Materials 15, no. 20 (October 21, 2022): 7401. http://dx.doi.org/10.3390/ma15207401.

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The mechanical properties of quasi-brittle materials, which are widely used in engineering applications, are often affected by the thermal condition of their service environment. Moreover, the materials appear brittle when subjected to tensile loading and show plastic characteristics under high pressure. These two phenomena manifest under different circumstances as completely different mechanical behaviors in the material. To accurately describe the mechanical response, the material behavior, and the failure mechanism of quasi-brittle materials with the thermo-mechanical coupling effect, the influence of the thermal condition is considered in calculating bond forces in the stretching and compression stages, based on a new bond-based Peridynamic (BB-PD) model. In this study, a novel bond-based Peridynamic, fully coupled, thermo-mechanical model is proposed for quasi-brittle materials, with a heat conduction component to account for the effect of the thermo-mechanical coupling. Numerical simulations are carried out to demonstrate the validity and capability of the proposed model. The results reveal that agreement could be found between our model and the experimental data, which show good reliability and promise in the proposed approach.
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42

Zhang, Haoran, Lisheng Liu, Xin Lai, Hai Mei, and Xiang Liu. "Thermo-Mechanical Coupling Model of Bond-Based Peridynamics for Quasi-Brittle Materials." Materials 15, no. 20 (October 21, 2022): 7401. http://dx.doi.org/10.3390/ma15207401.

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The mechanical properties of quasi-brittle materials, which are widely used in engineering applications, are often affected by the thermal condition of their service environment. Moreover, the materials appear brittle when subjected to tensile loading and show plastic characteristics under high pressure. These two phenomena manifest under different circumstances as completely different mechanical behaviors in the material. To accurately describe the mechanical response, the material behavior, and the failure mechanism of quasi-brittle materials with the thermo-mechanical coupling effect, the influence of the thermal condition is considered in calculating bond forces in the stretching and compression stages, based on a new bond-based Peridynamic (BB-PD) model. In this study, a novel bond-based Peridynamic, fully coupled, thermo-mechanical model is proposed for quasi-brittle materials, with a heat conduction component to account for the effect of the thermo-mechanical coupling. Numerical simulations are carried out to demonstrate the validity and capability of the proposed model. The results reveal that agreement could be found between our model and the experimental data, which show good reliability and promise in the proposed approach.
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43

Zhang, Haoran, Lisheng Liu, Xin Lai, Hai Mei, and Xiang Liu. "Thermo-Mechanical Coupling Model of Bond-Based Peridynamics for Quasi-Brittle Materials." Materials 15, no. 20 (October 21, 2022): 7401. http://dx.doi.org/10.3390/ma15207401.

Full text
Abstract:
The mechanical properties of quasi-brittle materials, which are widely used in engineering applications, are often affected by the thermal condition of their service environment. Moreover, the materials appear brittle when subjected to tensile loading and show plastic characteristics under high pressure. These two phenomena manifest under different circumstances as completely different mechanical behaviors in the material. To accurately describe the mechanical response, the material behavior, and the failure mechanism of quasi-brittle materials with the thermo-mechanical coupling effect, the influence of the thermal condition is considered in calculating bond forces in the stretching and compression stages, based on a new bond-based Peridynamic (BB-PD) model. In this study, a novel bond-based Peridynamic, fully coupled, thermo-mechanical model is proposed for quasi-brittle materials, with a heat conduction component to account for the effect of the thermo-mechanical coupling. Numerical simulations are carried out to demonstrate the validity and capability of the proposed model. The results reveal that agreement could be found between our model and the experimental data, which show good reliability and promise in the proposed approach.
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44

Zhang, Haoran, Lisheng Liu, Xin Lai, Hai Mei, and Xiang Liu. "Thermo-Mechanical Coupling Model of Bond-Based Peridynamics for Quasi-Brittle Materials." Materials 15, no. 20 (October 21, 2022): 7401. http://dx.doi.org/10.3390/ma15207401.

Full text
Abstract:
The mechanical properties of quasi-brittle materials, which are widely used in engineering applications, are often affected by the thermal condition of their service environment. Moreover, the materials appear brittle when subjected to tensile loading and show plastic characteristics under high pressure. These two phenomena manifest under different circumstances as completely different mechanical behaviors in the material. To accurately describe the mechanical response, the material behavior, and the failure mechanism of quasi-brittle materials with the thermo-mechanical coupling effect, the influence of the thermal condition is considered in calculating bond forces in the stretching and compression stages, based on a new bond-based Peridynamic (BB-PD) model. In this study, a novel bond-based Peridynamic, fully coupled, thermo-mechanical model is proposed for quasi-brittle materials, with a heat conduction component to account for the effect of the thermo-mechanical coupling. Numerical simulations are carried out to demonstrate the validity and capability of the proposed model. The results reveal that agreement could be found between our model and the experimental data, which show good reliability and promise in the proposed approach.
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45

Yakin, H. N., M. R. M. Rejab, Nur Hashim, and N. Nikabdullah. "A new quasi-brittle damage model implemented under quasi-static condition using bond-based peridynamics theory for progressive failure." Theoretical and Applied Mechanics, no. 00 (2023): 6. http://dx.doi.org/10.2298/tam230404006y.

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A novel quasi-brittle damage model implemented under quasistatic loading condition using bond-based peridynamics theory for progressive failure is proposed to better predict damage initiation and propagation in solid materials. Since peridynamics equation of motion was invented in dynamic configuration, this paper applies the adaptive dynamic relaxation equation to achieve steady-state in peridynamics formulation. To accurately characterise the progressive failure process in cohesive materials, we incorporate the dynamic equation with the novel damage model for quasi-brittle materials. Computational examples of 2D compressive and tensile problems using the proposed model are presented. This paper presents advancement by incorporating the adaptive dynamic equation approach into a new damage model for quasi-brittle materials. This amalgamation allows for a more accurate representation of the behavior of damaged materials, particularly in static or quasi-static loading situations, bringing the framework closer to reality. This research paves the way for the peridynamics formulation to be employed for a far broader class of loading condition behaviour than it is now able to.
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46

Qing, Longbang, Yang Li, Yimeng Su, and Guowei Ma. "Maximum resistance rate principle for quasi-brittle fracture." International Journal of Solids and Structures 248 (July 2022): 111654. http://dx.doi.org/10.1016/j.ijsolstr.2022.111654.

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47

Qing, Longbang, Yang Li, Yimeng Su, and Guowei Ma. "Maximum resistance rate principle for quasi-brittle fracture." International Journal of Solids and Structures 248 (July 2022): 111654. http://dx.doi.org/10.1016/j.ijsolstr.2022.111654.

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48

Qing, Longbang, Yang Li, Yimeng Su, and Guowei Ma. "Maximum resistance rate principle for quasi-brittle fracture." International Journal of Solids and Structures 248 (July 2022): 111654. http://dx.doi.org/10.1016/j.ijsolstr.2022.111654.

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49

Smith, G. E., Peter E. J. Flewitt, and A. Hodgkins. "Modelling Porosity in Quasi-Brittle Reactor Core Graphite." Key Engineering Materials 577-578 (September 2013): 337–40. http://dx.doi.org/10.4028/www.scientific.net/kem.577-578.337.

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Some designs of nuclear reactors involve a graphite moderator within their core. Different forms of graphite have been adopted in the UK gas-cooled reactors but all have a complex structure of filler particles, matrix and pores. Changes occur in the graphite during service and in particular, porosity increases from that found in the virgin material. As part of a structural assessment, it is important to analyse the effects of this change in porosity. Software has been developed to represent the microstructure of pile grade A (PGA) and Gilsocarbon graphite with a range of porosities, to support finite element determination of material properties. The models are three dimensional geometric and voxel models based on the observed microstructures of these different graphites. Creating a sequence of model specimens with increasing porosities while holding other parameters constant, provides a representative microstructure to test the effect of increasing porosity on mechanical and physical properties.
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50

Yu, Rena C., Luis Saucedo, and Gonzalo Ruiz. "A Probabilistic Fatigue Model for Quasi-Brittle Materials." Advanced Materials Research 875-877 (February 2014): 1239–42. http://dx.doi.org/10.4028/www.scientific.net/amr.875-877.1239.

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We aim to develop a new fatigue model valid for quasi-brittle materials like concrete, which properties have considerably larger standard deviation than metals. Having this in mind, we fit the measured strength data with a three-parameter Weibull cumulative distribution function and in turn take it as the initial distribution for an asymptotic fatigue model in concrete. We also take into account the observed influence of frequency and stress ratio on the fatigue life in concrete, both plain and reinforced with fibers. The developed model is validated against fatigue tests in compression on cubic specimens for different stress ratios and loading frequencies. The secondary strain rate is also found to be correlational with the number of cycles to failure.
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