Symmetric-Galerkin boundary element analysis of the dynamic T-stress for the interaction of a crack with an auxetic inclusion |
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| Institution: | 1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma “La Sapienza”, 00184 Roma, Italy;2. Institute of Mechanics and Printing, Warsaw University of Technology, 85 Narbutta, Warsaw 02-524, Poland;3. Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA;4. International Research Center for the Mathematics and Mechanics of Complex Systems – MeMoCS, Università dell’Aquila, Italy;1. Istituto per le Applicazioni del Calcolo CNR, Via dei Taurini 19, 00185 Rome, Italy;2. Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria;3. Dipartimento di Matematica e Fisica “Ennio De Giorgi”, University of Salento, via Arnesano, 73100 Lecce, Italy;4. Istituto Nanoscienze-CNR, Euromediterranean Center for Nanomaterial Modelling and Technology (ECMT), via Arnesano, I-73100 Lecce, Italy;1. DEIM, University of Tuscia, Largo dell’Università, 01100 Viterbo, Italy;2. Department of Enterprise Engineering, University of Rome “Tor Vergata”, Via del Politecnico 1, 00133 Rome, Italy |
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| Abstract: | In this work, the symmetric-Galerkin boundary element method (SGBEM) for 2-D elastodynamics in the Laplace-space frequency domain (Laplace domain) is employed to study the dynamic stress intensity factors (DSIFs) and the dynamic T-stress (DTS) during the interaction between a crack and an auxetic inclusion under impact loading conditions. It is found that, while the auxeticity has virtually no effect on the DSIFs, its influence on the DTS is noticeable. This finding is particularly important as it implies the imperative need of fracture criteria based on both the DSIFs and DTS for predicting crack growth in composite materials with auxetic phases. |
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| Keywords: | Symmetric-Galerkin boundary element method Laplace domain Dynamic stress intensity factors Auxetic materials |
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