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GPU-based simulations of fracture in idealized brick and mortar composites
Institution:1. Department of Mechanical Engineering, 2235C Engineering II Building, University of California, Santa Barbara, CA 93106, USA;2. Department of Computer Science, 5110 Harold Frank Hall, University of California, Santa Barbara, CA 93106, USA;3. Department of Mechanical Engineering and Department of Computer Science, 5107 Harold Frank Hall, University of California, Santa Barbara, CA 93106, USA;4. School of Chemistry, University of Southampton, SO17 1BJ, UK;5. Materials Department and Department of Mechanical Engineering, 2361A Engineering II Building, University of California, Santa Barbara, CA 93106, USA;1. Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA;2. Department of Mathematics, Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, USA
Abstract:Stiff ceramic platelets (or bricks) that are aligned and bonded to a second ductile phase with low volume fraction (mortar) are a promising pathway to produce stiff, high-toughness composites. For certain ranges of constituent properties, including those of some synthetic analogs to nacre, one can demonstrate that the deformation is dominated by relative brick motions. This paper describes simulations of fracture that explicitly track the motions of individual rigid bricks in an idealized microstructure; cohesive tractions acting between the bricks introduce elastic, plastic and rupture behaviors. Results are presented for the stresses and damage near macroscopic cracks with different brick orientations relative to the loading orientation. The anisotropic macroscopic initiation toughness is computed for small-scale yielding conditions and is shown to be independent of specimen geometry and loading configuration. The results are shown to be in agreement with previously published experiments on synthetic nacre.
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