Brittle fracture in polycrystalline microstructures with the extended finite element method

Brittle fracture in polycrystalline microstructures with the extended nite element method

A two-dimensional numerical model of microstructural e ects in brittle fracture is presented, with an aim towards the understanding of toughening mechanisms in polycrystalline materials such as ceramics. Quasi-static crack propagation is modelled using the extended nite element method (X-FEM) and microstructures are simulated within the framework of the Potts model for grain growth. In the X-FE...

Evaluation of Fracture Parameters by Coupling the Edge-Based Smoothed Finite Element Method and the Scaled Boundary Finite Element Method

This paper presents a technique to evaluate the fracture parameters by combining the edge based smoothed finite element method (ESFEM) and the scaled boundary finite element method (SBFEM). A semi-analytical solution is sought in the region close to the vicinity of the crack tip using the SBFEM, whilst, the ESFEM is used for the rest of the domain. As both methods satisfy the partition of unity...

Finite Element Model for Brittle Fracture and Fragmentation

A new computational model for brittle fracture and fragmentation has been developed based on finite element analysis of non-linear elasticity equations. The proposed model propagates the cracks by splitting the mesh nodes alongside the most over-strained edges based on the principal direction of strain tensor. To prevent elements from overlapping and folding under large deformations, robust geo...

Brittle fracture during folding of rocks: A finite element study

Brittle fracture during folding of rocks: A finite element study P. Jäger a; S. M. Schmalholz b; D. W. Schmid c; E. Kuhl d a Department of Mechanical Engineering, University of Kaiserslautern, Kaiserslautern, Germany b Geological Institute, Zürich, Switzerland c Physics of Geological Processes, University of Oslo, 0316 Oslo, Norway d Department of Mechanical Engineering, Stanford University, St...

Modeling Fracture in Mindlin-Reissner Plates with the eXtended Finite Element Method