Academic literature on the topic 'Phase field modeling of brittle fracture'

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Journal articles on the topic "Phase field modeling of brittle fracture"

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Li, Haifeng, Wei Wang, Yajun Cao, and Shifan Liu. "Phase-Field Modeling Fracture in Anisotropic Materials." Advances in Civil Engineering 2021 (July 30, 2021): 1–13. http://dx.doi.org/10.1155/2021/4313755.

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The phase-field method is a widely used technique to simulate crack initiation, propagation, and coalescence without the need to trace the fracture surface. In the phase-field theory, the energy to create a fracture surface per unit area is equal to the critical energy release rate. Therefore, the precise definition of the crack-driving part is the key to simulate crack propagation. In this work, we propose a modified phase-field model to capture the complex crack propagation, in which the elastic strain energy is decomposed into volumetric-deviatoric energy parts. Because of the volumetric-de
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Ulmer, Heike, Martina Hofacker, and Christian Miehe. "Phase Field Modeling of Brittle and Ductile Fracture." PAMM 13, no. 1 (2013): 533–36. http://dx.doi.org/10.1002/pamm.201310258.

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Seleš, Karlo, Tomislav Lesičar, Zdenko Tonković, and Jurica Sorić. "A Phase Field Staggered Algorithm for Fracture Modeling in Heterogeneous Microstructure." Key Engineering Materials 774 (August 2018): 632–37. http://dx.doi.org/10.4028/www.scientific.net/kem.774.632.

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The phase field approach to fracture modelling is based on a variational principle of the energy minimization as an extension of the Griffith’s brittle fracture theory. It introduces a scalar damage field, to differentiate between the fractured and intact material state. That way, it regularizes the sharp crack discontinuities and eliminates the need for the explicit tracking of the fracture surfaces. Moreover, the numerical implementation complexity is thus vastly reduced. In this contribution, the staggered phase field algorithm for the modelling of brittle fracture is implemented within the
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Ulloa, Jacinto, Patricio Rodríguez, Cristóbal Samaniego, and Esteban Samaniego. "Phase-field modeling of fracture for quasi-brittle materials." Underground Space 4, no. 1 (2019): 10–21. http://dx.doi.org/10.1016/j.undsp.2018.08.002.

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Teichtmeister, S., D. Kienle, F. Aldakheel, and M. A. Keip. "Phase field modeling of fracture in anisotropic brittle solids." International Journal of Non-Linear Mechanics 97 (December 2017): 1–21. http://dx.doi.org/10.1016/j.ijnonlinmec.2017.06.018.

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Hou, Yue, Fengyan Sun, Wenjuan Sun, Meng Guo, Chao Xing, and Jiangfeng Wu. "Quasi-Brittle Fracture Modeling of Preflawed Bitumen Using a Diffuse Interface Model." Advances in Materials Science and Engineering 2016 (2016): 1–7. http://dx.doi.org/10.1155/2016/8751646.

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Fundamental understandings on the bitumen fracture mechanism are vital to improve the mixture design of asphalt concrete. In this paper, a diffuse interface model, namely, phase-field method is used for modeling the quasi-brittle fracture in bitumen. This method describes the microstructure using a phase-field variable which assumes one in the intact solid and negative one in the crack region. Only the elastic energy will directly contribute to cracking. To account for the growth of cracks, a nonconserved Allen-Cahn equation is adopted to evolve the phase-field variable. Numerical simulations
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Santillan Sanchez, David, Hichem Mazighi, and Mustapha Kamel Mihoubi. "Hybrid phase-field modeling of multi-level concrete gravity dam notched cracks." Frattura ed Integrità Strutturale 16, no. 61 (2022): 154–75. http://dx.doi.org/10.3221/igf-esis.61.11.

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Phase-field models have become a powerful tool to simulate crack propagation. They regularize the fracture discontinuity and smooth the transition between the intact and the damaged regions. Based on the thermodynamic function and a diffusive field, they regularize the variational approach to fracture that generalizes Griffith’s theory for brittle fracture. Phase-field models are capable to simulate complex fracture patterns efficiently and straightforwardly. In this paper, we introduce a hybrid phase-field approach to simulate the crack propagation in laboratory-scale and life-scale structures.
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Wu, Chi, Jianguang Fang, Zhongpu Zhang, et al. "Fracture modeling of brittle biomaterials by the phase-field method." Engineering Fracture Mechanics 224 (February 2020): 106752. http://dx.doi.org/10.1016/j.engfracmech.2019.106752.

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Nagaraja, Sindhu, Ulrich Römer, Hermann G. Matthies, and Laura De Lorenzis. "Deterministic and stochastic phase-field modeling of anisotropic brittle fracture." Computer Methods in Applied Mechanics and Engineering 408 (April 2023): 115960. http://dx.doi.org/10.1016/j.cma.2023.115960.

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Dinh, Huy, Dimitrios Giannakis, Joanna Slawinska, and Georg Stadler. "Phase-field models of floe fracture in sea ice." Cryosphere 17, no. 9 (2023): 3883–93. http://dx.doi.org/10.5194/tc-17-3883-2023.

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Abstract. We develop a phase-field model of brittle fracture to model fracture in sea ice floes. Phase fields allow for a variational formulation of fracture by using an energy functional that combines a linear elastic energy with a term modeling the energetic cost of fracture. We study the fracture strength of ice floes with stochastic thickness variations under boundary forcings or displacements. Our approach models refrozen cracks or other linear ice impurities with stochastic models for thickness profiles. We find that the orientation of thickness variations is an important factor for the
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Dissertations / Theses on the topic "Phase field modeling of brittle fracture"

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Omatuku, Emmanuel Ngongo. "Phase field modeling of dynamic brittle fracture at finite strains." Master's thesis, Faculty of Engineering and the Built Environment, 2019. http://hdl.handle.net/11427/30172.

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Fracture is the total or partial separation of an initially intact body through the propagation of one or several cracks. Computational methods for fracture mechanics are becoming increasingly important in dealing with the nucleation and propagation of these cracks. One method is the phase field approach, which approximates sharp crack discontinuities with a continuous scalar field, the so-called phase field. The latter represents the smooth transition between the intact and broken material phases. The evolution of the phase field due to external loads describes the fracture process. An origin
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Schlueter, Alexander [Verfasser], and Charlotte [Akademischer Betreuer] Kuhn. "Phase Field Modeling of Dynamic Brittle Fracture / Alexander Schlueter ; Betreuer: Charlotte Kuhn." Kaiserslautern : Technische Universität Kaiserslautern, 2018. http://d-nb.info/116213397X/34.

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Li, Tianyi. "Gradient-damage modeling of dynamic brittle fracture : variational principles and numerical simulations." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLX042/document.

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Une bonne tenue mécanique des structures du génie civil en béton armé sous chargements dynamiques sévères est primordiale pour la sécurité et nécessite une évaluation précise de leur comportement en présence de propagation dynamique de fissures. Dans ce travail, on se focalise sur la modélisation constitutive du béton assimilé à un matériau élastique-fragile endommageable. La localisation des déformations sera régie par un modèle d'endommagement à gradient où un champ scalaire réalise une description régularisée des phénomènes de rupture dynamique. La contribution de cette étude est à la fois
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Zhai, Xinyuan. "Crack propagation in elastic media with anisotropic fracture toughness : experiments and numerical modeling." Electronic Thesis or Diss., Institut polytechnique de Paris, 2023. http://www.theses.fr/2023IPPAE010.

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La fabrication additive attire une attention croissante en raison de ses avantages en termes de flexibilité de modélisation et de facilité de conception de microstructures complexes. Nous avons constaté qu'en manipulant la stratégie d'impression, les échantillons imprimés par dépôt de fusion de polycarbonate peuvent présenter un comportement fortement anisotrope en termes de résistance à la rupture, tout en conservant des propriétés isotropes en termes d'élasticité.Le focus de cette thèse est d'explorer le comportement en matière de rupture dans des milieux élastiques isotropes présentant une
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Cheng, Zifeng. "Modelling Brittle Fractures with Finite Elements: A Time-independent Phase-field Model." Thesis, Faculty of Engineering, School of Civil Engineering, 2020. https://hdl.handle.net/2123/29350.

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The objective of this paper is to propose a 2-D time-independent phase-field model with validating its performance as well as applying it for simulating existing representative experiments. Firstly, the section of the literature review provides an overview of quasi-brittle material and brittle fracture behaviours, as well as the existing FE models from both discontinuous and continuous approaches for simulating fracture behaviours. Next, the governing equations of the proposed phase-field model are determined, which are based on traditional Griffith’s theory as well as a specific variational m
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Deogekar, Sai Sharad. "A Computational Study of Dynamic Brittle Fracture Using the Phase-Field Method." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439455086.

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Tanne, Erwan. "Variational phase-field models from brittle to ductile fracture : nucleation and propagation." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLX088/document.

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Les simulations numériques des fissures fragiles par les modèles d’endommagement à gradient deviennent main- tenant très répandues. Les résultats théoriques et numériques montrent que dans le cadre de l’existence d’une pre-fissure la propagation suit le critère de Griffith. Alors que pour le problème à une dimension la nucléation de la fissure se fait à la contrainte critique, cette dernière propriété dimensionne le paramètre de longueur interne.Dans ce travail, on s’attarde sur le phénomène de nucléation de fissures pour les géométries communément rencontrées et qui ne présentent pas de solut
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Abdollahi, Amir. "Phase-field modeling of fracture in ferroelectric materials." Doctoral thesis, Universitat Politècnica de Catalunya, 2012. http://hdl.handle.net/10803/285833.

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The unique electro-mechanical coupling properties of ferroelectrics make them ideal materials for use in micro-devices as sensors, actuators and transducers. Nevertheless, because of the intrinsic brittleness of ferroelectrics, the optimal design of the electro-mechanical devices is strongly dependent on the understanding of the fracture behavior in these materials. Fracture processes in ferroelectrics are notoriously complex, mostly due to the interactions between the crack tip stress and electric fields and the localized switching phenomena in this zone (formation and evolution of domains of
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Parrinello, Antonino. "A rate-pressure-dependent thermodynamically-consistent phase field model for the description of failure patterns in dynamic brittle fracture." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:c6590f4f-f4e2-40e3-ada1-49ba35c2a594.

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The investigation of failure in brittle materials, subjected to dynamic transient loading conditions, represents one of the ongoing challenges in the mechanics community. Progresses on this front are required to support the design of engineering components which are employed in applications involving extreme operational regimes. To this purpose, this thesis is devoted to the development of a framework which provides the capabilities to model how crack patterns form and evolve in brittle materials and how they affect the quantitative description of failure. The proposed model is developed withi
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Lee, Ji Soo. "Time-Dependent Crack Growth in Brittle Rocks and Field Applications to Geologic Hazards." Diss., The University of Arizona, 2007. http://hdl.handle.net/10150/193784.

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The primary focus of this research is to evaluate the time-dependent crack growth in rocks using lab tests and numerical modeling and its application to geologic hazard problems. This research utilized Coconino sandstone and Columbia granite as the study materials and produced the subcritical crack growth parameters in both mode I and II loadings using the rock materials. The mode I loading test employs three different types of fracture mechanics tests: the Double Torsion (DT), the Wedge Splitting (WS), and the Double Cantilever Beam (DCB) test. Each test measured the mode I crack velocity. Th
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Books on the topic "Phase field modeling of brittle fracture"

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Miguel Torre do Vale Arriaga e Cunha. Stability Analysis of Metals Capturing Brittle and Ductile Fracture through a Phase Field Method and Shear Band Localization. [publisher not identified], 2016.

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Wick, Thomas. Multiphysics Phase-Field Fracture: Modeling, Adaptive Discretizations, and Solvers. de Gruyter GmbH, Walter, 2020.

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Louchet, Francois. Snow Avalanches. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198866930.001.0001.

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This work is a critical update of the most recent and innovative developments of the avalanche science. It aims at re-founding it on clear scientific bases, from field observations and experiments up to strong mathematical and physical analysis and modeling. It points out snow peculiarities, regarding both static mechanical properties and flow dynamics, that may strongly differ from those of compact solids for the former, and of Newtonian fluids for the latter. It analyzes the general processes involved in avalanche release, in terms of brittle fracture and ductile plasticity, specific frictio
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Book chapters on the topic "Phase field modeling of brittle fracture"

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Jukić, Krešimir, Tomislav Jarak, Karlo Seleš, and Zdenko Tonković. "Adaptive Phase-Field Modeling of Brittle Fracture." In Lecture Notes in Civil Engineering. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7216-3_12.

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Kuhn, Charlotte, Timo Noll, Darius Olesch, and Ralf Müller. "Phase Field Modeling of Brittle and Ductile Fracture." In Non-standard Discretisation Methods in Solid Mechanics. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-92672-4_11.

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De Lorenzis, Laura, and Tymofiy Gerasimov. "Numerical Implementation of Phase-Field Models of Brittle Fracture." In Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37518-8_3.

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Hentati, Hamdi, Yosra Kriaa, Gregory Haugou, and Fahmi Chaari. "Brittle Fracture: Experimental and Numerical Modeling Using Phase-Field Approach." In Design and Modeling of Mechanical Systems—III. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66697-6_104.

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Kriaa, Yosra, Yassine Hersi, and Bassem Zouari. "Flat and Cylindrical Indentation for Brittle Fracture Using Phase-Field Modeling." In Lecture Notes in Mechanical Engineering. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-89733-7_52.

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Dinh, Minh Ngoc, Chien Trung Vo, Cuong Tan Nguyen, and Ngoc Minh La. "Phase-Field Modelling of Brittle Fracture Using Time-Series Forecasting." In Computational Science – ICCS 2022. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08754-7_36.

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Santos, H. A. F. A., and V. V. Silberschmidt. "Finite Element Modelling of 2D Brittle Fracture: The Phase-Field Approach." In Mechanics of Advanced Materials. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17118-0_1.

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Tangella, Raja Gopal, Pramod Kumbhar, and Ratna Kumar Annabattula. "Hybrid Phase Field Modelling of Dynamic Brittle Fracture and Implementation in FEniCS." In Composite Materials for Extreme Loading. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-4138-1_2.

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Saidane, Mariem, Sana Koubaa, Zoubeir Bouaziz, and Radhi Abdelmoula. "A Phase Field Numerical Modelling of Quasi-brittle Material Fracture Applied to Low Velocity Impact." In Applied Condition Monitoring. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-34190-8_43.

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Schreiber, Christoph, Ralf Müller, and Fadi Aldakheel. "Phase Field Modeling of Fatigue Fracture." In Current Trends and Open Problems in Computational Mechanics. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-87312-7_46.

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Conference papers on the topic "Phase field modeling of brittle fracture"

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He, Zhiheng. "Application of Neural Operators to the Phase Field Modeling of Brittle Fractures." In 2024 Conference on AI, Science, Engineering, and Technology (AIxSET). IEEE, 2024. https://doi.org/10.1109/aixset62544.2024.00053.

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Gao, Hai-Ming, Tian-Xu Fu, and Shun-Qi Zhang. "Fracture Damage Evolution of Piezoelectric Solids by Phase-Field Modeling." In 2024 18th Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA). IEEE, 2024. https://doi.org/10.1109/spawda63926.2024.10878828.

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Saithala, Janardhan Rao, Sudhakar Mahajanam, Harvindher Singh Ubhi, and John D. Atkinson. "Effect of Sigma Phase on the Environmental Assisted Cracking of Super Duplex Stainless Steel in Oil Field Environments." In CORROSION 2012. NACE International, 2012. https://doi.org/10.5006/c2012-01272.

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Abstract The Slow Strain Rate Test (SSRT) technique was used to investigate the stress corrosion cracking (SCC) susceptibility of sigmatized super duplex stainless steel (SDSS) grade UNS S32760, exposed to a simulated oil field brine containing CO2/H2S at 80 °C. The sigma phase was precipitated by heat treatment (HT) at 850 °C for various durations (0 to 12 mins). Results show that low levels (less than 2%) of sigma have no profound impact on the mechanical and corrosion properties of SDSS. However at higher levels (greater than 2%) of sigma phase, there is severe loss in ductility and increas
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Mintz, Todd S., and Xihua He. "Modeling of Hydrogen Uphill Diffusion in Dissimilar Titanium Welds." In CORROSION 2009. NACE International, 2009. https://doi.org/10.5006/c2009-09430.

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Abstract Hydrogen embrittlement has been known to cause degradation in titanium alloys. The absorption of hydrogen into titanium can lead to the formation of brittle titanium hydrides, which decrease the fracture toughness of the metal. Weldments of dissimilar titanium alloys can be especially susceptible to hydride cracking. Titanium vessels, which include titanium welds, have been proposed for use in various nuclear waste repository systems. Experimental tests and field experiences have shown that hydrogen can diffuse to and accumulate on one side of the titanium weldment. It is possible for
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Turbino, Diego, Thiago Barreto de Aguiar, Gabriel Mario Guerra Bernadá, and Fernando Pereira Duda. "Phase-field modeling for brittle fracture due to residual stress." In 26th International Congress of Mechanical Engineering. ABCM, 2021. http://dx.doi.org/10.26678/abcm.cobem2021.cob2021-1493.

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Lesičar, Tomislav, Tomislav Polančec, Karlo Seleš, and Zdenko Tonković. "Separated phase-field algorithm for modelling of brittle fracture." In ADVANCES IN FRACTURE AND DAMAGE MECHANICS XX. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0145039.

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Sarem, Mina, Nuhamin Deresse, Jacinto Ulloa, Els Verstrynge, and Stijn Francois. "Micromechanics-Based Phase-Field Modeling Of Fatigue In (Quasi-)Brittle Materials." In 11th International Conference on Fracture Mechanics of Concrete and Concrete Structures. IA-FraMCoS, 2023. http://dx.doi.org/10.21012/fc11.092392.

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Huang, W. "Phase-field Modeling of Brittle Fracture and its Adaptive Moving Mesh Solution." In 10th International Conference on Adaptative Modeling and Simulation. CIMNE, 2021. http://dx.doi.org/10.23967/admos.2021.068.

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Rajagopal, Amirtham, Mrunmayee S, and Pranavi D. "Modeling Anisotropic Fracture In Quasi-Brittle Materials By A Phase Field Approach." In 11th International Conference on Fracture Mechanics of Concrete and Concrete Structures. IA-FraMCoS, 2023. http://dx.doi.org/10.21012/fc11.0923108.

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Moshkelgosha, Ehsan, and Mahmood Mamivand. "Anisotropic Phase-Field Modeling of Crack Growth in Shape Memory Ceramics: Application to Zirconia." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-11695.

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Abstract Shape memory ceramics (SMCs) are promising candidates for actuators in extreme environments such as high temperature and corrosive applications. Despite outstanding energy dissipation, compared to metallic shape memory materials, SMCs suffer from sudden brittle fracture. While the interaction of crack propagation and phase transformation in SMCs have been subject of several experimental and theoretical studies, mainly at macroscale, the fundamental understanding of the interaction of crack propagation dynamics with evolving martensitic transformation is poorly understood. In this work
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Reports on the topic "Phase field modeling of brittle fracture"

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Author, Not Given. Brittle fracture phase-field modeling of a short-rod specimen. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1225864.

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Landis, Chad M., and Thomas J. Hughes. Phase-Field Modeling and Computation of Crack Propagation and Fracture. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada603638.

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Leavy, R. Brian, John Clayton, Jonathan Ligda, and Jaroslaw Knap. Methods for Microstructure Modeling and Phase Field Simulations of Fracture. DEVCOM Army Research Laboratory, 2023. http://dx.doi.org/10.21236/ad1203858.

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Cusini, M., and F. Fei. PHASE FIELD MODELING OF NEAR-WELLBORE HYDRAULIC FRACTURE NUCLEATION AND PROPAGATION. Office of Scientific and Technical Information (OSTI), 2023. http://dx.doi.org/10.2172/2287725.

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