Initiation and propagation of complex 3D networks of cracks in heterogeneous quasi-brittle materials: Direct comparison between in situ testing-microCT experiments and phase field simulations |
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| Institution: | 1. Université Paris-Est, Laboratoire Modélisation et Simulation Multi Échelle MSME UMR 8208 CNRS, 5 bd Descartes, 77454 Marne-la-Vallée, France;2. Université Paris-Est, Laboratoire Navier, CNRS UMR 8205, ENPC, IFSTTAR, 6/8 avenue Blaise Pascal, 77455 Marne-la-Vallée, France;1. Université Paris-Est, Laboratoire Modélisation et Simulation Multi Échelle, MSME UMR 8208 CNRS, 5 bd Descartes, 77454 Marne-la-Vallée, France;2. The State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China;3. Université Paris-Est, Laboratoire Navier, CNRS UMR 8205, ENPC, IFSTTAR, 6/8 avenue Blaise Pascal, 77455 Marne-la-Vallée, France;1. Department of Mechanical and Industrial Engineering, Louisiana State University, Baton Rouge, LA 70803, USA;2. Department of Mathematics and Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, USA;1. Computational Mechanics, University of Kaiserslautern, P.O.B. 3049, 67653 Kaiserslautern, Germany;2. Institute of Applied Mechanics, University of Kaiserslautern, P.O.B. 3049, 67653 Kaiserslautern, Germany;1. State Key Laboratory of disaster reduction in Civil Engineering, Department of Geotechnical Engineering, Tongji University, Shanghai, 200092, China;2. Department of Civil Engineering and Engineering Mechanics, Columbia University, 610 Seeley W. Mudd Building, 500 West 120th Street, Mail Code 4709, New York, NY 10027, United States;1. Technische Universität Dresden, Institute of Solid Mechanics, Chair of Computational and Experimental Solid Mechanics, 01062 Dresden, Germany;2. Technische Universität Dresden, Dresden Center for Computational Materials Science (DCMS), 01062 Dresden, Germany;3. University of Sheffield, Department of Civil and Structural Engineering, Mappin Street, Sir Frederick Mappin Building, Sheffield S1 3JD, UK;1. Mathematical Sciences, Clemson University, Clemson, SC 29634, USA;2. The Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA;3. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, 4040 Linz, Austria |
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| Abstract: | We provide the first direct comparisons, to our knowledge, of complex 3D micro cracking initiation and propagation in heterogeneous quasi-brittle materials modelled by the phase field numerical method and observed in X-ray microtomography images recorded during in situ mechanical testing. Some material parameters of the damage model, including the process zone (internal) length, are identified by an inverse approach combining experimental data and 3D simulations. A new technique is developed to study the micro cracking at a finer scale by prescribing the local displacements measured by digital volume correlation over the boundary of a small sub-volume inside the sample during the numerical simulations. The comparisons, performed on several samples of lightweight plaster and concrete, show a remarkable quantitative agreement between the 3D crack morphology obtained by the model and by the experiments, without any a priori knowledge about the location of the initiation of the cracks in the numerical model. The results indicate that the crack paths can be predicted in a fully deterministic way in spite of the highly random geometry of the microstructure and the brittle nature of its constituents. |
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| Keywords: | Micro cracking Quasi-brittle Heterogeneous material Phase-field method Gradient damage model Voxel-based models In situ testing X-ray microtomography Digital volume correlation |
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