Finite element analysis of quasistatic crack propagation in brittle media with voids or inclusions

Polyhedral elements with strain smoothing for coupling hexahedral meshes at arbitrary nonmatching interfaces

“…That is, conditions of nodal connectivity and element compatibility are not satisfied at the nonmatching interfaces. Adaptive mesh refinement [3][4][5][6], multiscale simulations [7][8][9], and multiphysics simulations [10][11][12] can also involve nonmatching interface problems. If such nonmatching interface problems are not resolved in an appropriate manner, the convergence and accuracy of solutions obtained by the finite element method (FEM) cannot be guaranteed.…”

“…In contrast, there are methods that use nonconventional types of elements for accommodating arbitrary distributions of nodes on nonmatching interfaces. To name but a few, interface elements [21][22][23] and variable-node elements [3][4][5][6][7][8][24][25][26][27][28] have been used as transition elements for gluing dissimilar meshes. The use of these elements enables a global stiffness matrix to be assembled in a straightforward way, without modifications.…”

“…In particular, a simple and efficient scheme is proposed to manage arbitrarily shaped nonmatching interfaces resulting from dissimilar hexahedral meshes. Variable-node elements have been proposed and applied to mesh coupling, which can contain arbitrary numbers of additional nodes on a four-node quadrilateral element in two dimensions [5][6][7][8][24][25][26], and on an eight-node hexahedral element in three dimensions [3][4][5]27,28]. However, with three-dimensional mesh coupling, variable-node elements are not generally applicable for arbitrary nonmatching interfaces.…”

Study on the effect of inclusion shape on crack-inclusion interaction using digital gradient sensing method

“…Shedbale et al [10] conducted a nonlinear simulation of an embedded crack in the presence of holes and inclusions by XFEM. Sohn et al [11] analyzed a quasistatic crack propagation in brittle media with voids or inclusions using finite element method. Savalia et al [12] conducted a numerical study of inclusion-matrix debonding in the presence of a nearby crack.…”

A boundary focused quadrilateral mesh generation algorithm for multi-material structures

“…For instance, boundaries between different materials are major sources of fracture. Hence they require high quality elements and well-aligned features to address such behaviours [16,17]. Therefore, the goal of this paper is to present a boundary focused quadrilateral mesh generation algorithm and evaluate it in meshing complicated multi-material structures based on image data.…”