2D Crack Propagation in High-Strength Concrete Using Multiscale Modeling
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ORIGINAL RESEARCH
2D Crack Propagation in High‑Strength Concrete Using Multiscale Modeling Marcela Gimenes1 · Eduardo A. Rodrigues1 · Michael A. Maedo1 · Luís A. G. Bitencourt Jr.2 · Osvaldo L. Manzoli1 Received: 9 June 2020 / Revised: 11 August 2020 / Accepted: 7 September 2020 / Published online: 14 September 2020 © Korean Multi-Scale Mechanics (KMSM) 2020
Abstract In this work a concurrent multiscale (macro and mesoscale) approach for high-strength concrete (HSC) is proposed for seeking to better understand the influence of coarse aggregate type, shape, and size distribution as well as the interfacial transition zone (ITZ) effects on the fracture mechanical responses. A linear elastic model with homogenized elastic properties is used for the macroscale, while a three-phase material composed of coarse aggregates, mortar matrix and the ITZ equipped with nonlinear behavior models are assumed for the mesoscopic level. To geometrically represent and gain insights into effects of coarse aggregates, two polygonal shapes are assumed: irregular quadrilateral and regular octagonal forms, which are used separated and randomly generated from a given grading curve and placed in the mesoscale region using the “take-and-place” method. A mesh fragmentation technique is used to explicitly represent the crack propagation process by considering the individual behavior of each phase as well as their mutual interactions. The non-matching macro and mesoscopic meshes are attached based on the use of coupling finite elements in the context of the rigid coupling scheme to adequately guarantee the continuity of displacement between both scales. Numerical analyses of dog-bone shape specimens under tensile load and three-point bending beams were performed. The responses obtained numerically show a good agreement with experimental ones found in literature demonstrating how the proposed approach is efficient, robust and useful for modeling crack propagation in HSC. Keywords HSC · ITZ · Crack propagation process · Damage model · Mesh fragmentation technique · Coupling finite element
Introduction Over the last few decades, several works have devoted to the advancement of technologies related to the increase in the concrete strength [2, 7, 31, 39]. These research efforts led to the development of high-strength concrete (HSC), in which the compressive strength of the material is higher than 50 MPa. Its performance allied to its durability have contributed to the frequent use of HSC. The difference regarding the mechanical behavior between HSC and the normal strength * Luís A. G. Bitencourt Jr. [email protected] 1
São Paulo State University-UNESP, Av. Eng. Luiz Edmundo C. Coube 14‑01, Bauru, SP CEP‑17033‑360, Brazil
Department of Structural and Geotechnical Engineering, University of São Paulo-USP, Av. Prof. Luciano Gualberto, Trav. do Biênio n. 380, São Paulo, SP CEP‑05508‑010, Brazil
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concrete (NSC) relies on their composition. The reaction caused by adding pozzolans (i.e., fly ash, blast furnace slag, silica fume or micro s
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