Date:
Speaker : Pablo Seleson, Oak Ridge National Laboratory
Time : 16:00 - 17:00 CET (Rome/Paris)
Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy
YouTube : https://youtu.be/rrpsn9-neJE
Organizers : Pavan Pranjivan Mehta* (pavan.mehta@sissa.it) and Arran Fernandez** (arran.fernandez@emu.edu.tr)
* SISSA, International School of Advanced Studies, Italy
** Eastern Mediterranean University, Northern Cyprus
Keywords: Peridynamics, Local-to-Nonlocal Coupling, Fracture
Abstract: Peridynamics is a powerful nonlocal reformulation of classical continuum mechanics, suitable for material failure and damage simulation. Peridynamic models do not require spatial differentiability assumptions of displacement fields, as opposed to classical constitutive relations, leading to natural representation of material discontinuities such as cracks. However, the nonlocality of peridynamics results in a significant increase in computational cost, compared to classical (local) continuum mechanics simulations. Coupling peridynamics and classical continuum mechanics is a popular technique to combine the strengths of nonlocal and local representations and attain efficient and accurate solutions of peridynamics problems. A main issue in local-to-nonlocal coupling is the appearance of coupling artifacts around coupling interfaces, which can pollute the solutions of coupled problems, and different methods were proposed to overcome this challenge. This talk will provide an overview of coupling peridynamics and classical continuum mechanics, discuss some coupling methods, and present a coupling analysis.
Biography: Dr. Pablo Seleson is a Research Scientist in the Computer Science and Mathematics Division at the Oak Ridge National Laboratory, where he began as an Alston S. Householder Fellow. Dr. Seleson received both his Bachelor’s degree in Physics and Philosophy and his Master’s degree in Physics from the Hebrew University of Jerusalem in 2002 and 2006, respectively, and his Ph.D. in Computational Science from Florida State University in 2010 under the advisement of Prof. Max Gunzburger. After graduation, he joined the Institute for Computational Engineering and Sciences (ICES) at The University of Texas at Austin as an ICES Postdoctoral Fellow under the supervision of Prof. J. Tinsley Oden, where he also worked in close collaboration with the Computer Science Research Institute at Sandia National Laboratories. Dr. Seleson’s research focuses on multiscale materials modeling and on mathematical and computational analysis of peridynamics and related nonlocal models with application to computational fracture modeling. Dr. Seleson is an Associate Editor of Applicable Analysis and editorial board member of the Journal of Peridynamics and Nonlocal Modeling, a Member-at-Large of the Executive Committee of the U.S. Association for Computational Mechanics (USACM), past Chair of the USACM Technical Thrust Area (TTA) on Large Scale Structural Systems and Optimal Design, Vice-Chair of the USACM TTA on Mathematical Methods in Computational Engineering & Sciences, and Member of the Computational Mechanics Committee of the Engineering Mechanics Institute (EMI) of the American Society of Civil Engineers (ASCE).
Bibliography
[1] Pablo Seleson, Samir Beneddine, and Serge Prudhomme, “A force-based coupling scheme for peridynamics and classical elasticity,” Computational Materials Science, 66 (2013), pp. 34–49.
[2] Pablo Seleson, Max Gunzburger, and Michael L. Parks, “Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains,” Computer Methods in Applied Mechanics and Engineering, 266 (2013), pp. 185–204.
[3] Pablo Seleson, Youn Doh Ha, and Samir Beneddine, “Concurrent coupling of bond-based peridynamics and the Navier equation of classical elasticity by blending,” International Journal for Multiscale Computational Engineering, 13(2) (2015), pp. 91–113.
[4] Stewart A. Silling, David J. Littlewood, and Pablo Seleson, “Variable horizon in a peridynamic medium,” Journal of Mechanics of Materials and Structures,” 10(5) (2015), pp. 591-612.
[5] Yan Azdoud, Fei Han, David Littlewood, Gilles Lubineau, and Pablo Seleson, “Coupling local and nonlocal models,” in Handbook of Peridynamic Modeling, Florin Bobaru, John T. Foster, Philippe H. Geubelle, and Stewart A. Silling, eds., Taylor & Francis Group, Chapman and Hall/CRC, Publication date: November 3, 2016.
[6] Greta Ongaro, Pablo Seleson, Ugo Galvanetto, Tao Ni, and Mirco Zaccariotto, “Overall equilibrium in the coupling of peridynamics and classical continuum mechanics,” Computer Methods in Applied Mechanics and Engineering, 381 (2021), 113515.
[7] Marta D’Elia, Xingjie Li, Pablo Seleson, Xiaochuan Tian, and Yue Yu, “A review of local-to-nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics,” Journal of Peridynamics and Nonlocal Modeling, 4 (2022), pp. 1-50
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