Modeling of concrete cracking—A hybrid technique of using displacement discontinuity element method and direct boundary element method

Hybrid Boundary Element Method for Two-Dimensional Linear Elastic Fracture Analysis

“…A coupling of the finite element method and the element-free Galerkin method has also been developed [44]. A hybrid BEM that utilizes the direct BEM on regular boundaries and the displacement discontinuity method on cracks has been studied [45]. Similarly, a hybrid BEM was proposed where the regular boundaries are modeled using the displacement discontinuity method and the cracks are modeled using the distributed dislocation method [46].…”

“…In the two-step hybrid BEM, the distributed dislocations along the crack lines are not basic problem unknowns; hence, SIFs are determined from either the crack opening displacement or from the extrapolation of stresses to the crack tip from values evaluated at selected points in the vicinity of the crack tip. A hybrid direct BEM-displacement discontinuity method [45], based on superposition concepts in conjunction with the isolation of sub-problem responses, has also been used to analyze two-dimensional crack problems. In this approach, SIFs for each crack tip were determined from the crack line displacement discontinuities.…”

Analysis of Ultimate Load-Bearing Capacity for Dowel Bar System in Rigid Pavement Based on XFEM

“…The standard axle load (BZZ-100) based on the current pavement design specifications was used as the model wheel load. detailed in Table 2 [5] .For the standard axle load analyze, two refined mesh zone were located at the center of the joint as shown in Figure 1(b), and the refined mesh zone was located at the edge of the joint, where wheel loads are applied [6] , as shown in Figure 1(c). The maximum main stress nephogram of numerical calculation in this study shows that the small diameter, high strength, steel dowels create high bearing stresses in the concrete surrounding the dowels which causes the initialization and evolution of the cracks in the region of stress concentration and eventually causes the concrete to crush and spall locally.…”

Analytical and numerical investigation of the stiffness matrix for edge‐cracked circular shafts

“…Existing methods of approaching fracture mechanics and treating stress concentrations include singular integral equations, 7 weight functions, 8,9 boundary collocation, 10 finite fracture mechanics, 11 finite element method (FEM), 12 strong FEM, 13,14 isogeometric approaches, [14][15][16] numerical cohesive zone modelling, [15][16][17][18] and boundary element approaches. 19 Unfortunately, there is a lack of general solutions that can be applied for many structural configurations. There is an important class of crack problems, involving surface damage in the form of part-through cracks in round bars or beams, where a 3D modelling becomes necessary.…”

“…The SIFs can be computed by using numerical methods as well as finite element and boundary element methods. Existing methods of approaching fracture mechanics and treating stress concentrations include singular integral equations, weight functions, boundary collocation, finite fracture mechanics, finite element method (FEM), strong FEM, isogeometric approaches, numerical cohesive zone modelling, and boundary element approaches . Unfortunately, there is a lack of general solutions that can be applied for many structural configurations.…”