20.500.12556/RUL-131840 Crack propagation simulation without crack tracking algorithm embedded discontinuity formulation with incompatible modes We show that for the simulation of crack propagation in quasi-brittle, two-dimensional solids, very good results can be obtained with an embedded strong discontinuity quadrilateral finite element that has incompatible modes. Even more importantly, we demonstrate that these results can be obtained without using a crack tracking algorithm. Therefore, the simulation of crack patterns with several cracks, including branching, becomes possible. The avoidance of a tracking algorithm is mainly enabled by the application of a novel, local (Gauss-point based) criterion for crack nucleation, which determines the time of embedding the localisation line as well as its position and orientation. We treat the crack evolution in terms of a thermodynamical framework, with softening variables describing internal dissipative mechanisms of material degradation. As presented by numerical examples, many elements in the mesh may develop a crack, but only some of them actually open and/or slide, dissipate fracture energy, and eventually form the crack pattern. The novel approach has been implemented for statics and dynamics, and the results of computed difficult examples (including Kalthoff’s test) illustrate its very satisfying performance. It effectively overcomes unfavourable restrictions of the standard embedded strong discontinuity formulations, namely the simulation of the propagation of a single crack only. Moreover, it is computationally fast and straightforward to implement. Our numerical solutions match the results of experimental tests and previously reported numerical results in terms of crack pattern, dissipated fracture energy, and load–displacement curve. fracture modelling quadrilateral finite element embedded strong discontinuity incompatible mode method rigid-damage softening dynamic fracture modeliranje loma materiala četverokotni končni element vstavljena močna nezveznost nekompatibilni pomiki mehčanje dinamična odpoved materiala true false true Angleški jezik Slovenski jezik Članek v reviji 2021-10-04 13:15:43 2021-10-04 13:15:45 2025-04-11 04:18:07 0000-00-00 00:00:00 2021 0 0 39 str. art. 114090 Vol. 386 2021 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 624.074.4 0045-7825 10.1016/j.cma.2021.114090 73902083 1-s2.0-S0045782521004217-main.pdf 1-s2.0-S0045782521004217-main.pdf 1 F92D279C96E102759AE34289C606791C 2500aee53896e9550f96a309b3c66718841e51ca569d1ca40c72743c8613e3ff 8b3e0be2-1606-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=201751 https://www.sciencedirect.com/science/article/pii/S0045782521004217 0 5e201b64-1606-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=201749 Fakulteta za gradbeništvo in geodezijo 0 0 0