A field-enriched finite element method is proposed in this paper to simulate the failure
process of rocks. According to the different types of defects, the proposed method can select …

An adaptive phase field method is proposed for crack propagation in brittle materials under
quasi-static loading. The adaptive refinement is based on the recovery type error indicator …

The extended finite element method (XFEM) is now one of many successful numerical
methods to solve fracture mechanics problems. The particular advantage of the XFEM …

Abstract The Newton-Raphson iterative scheme is a widely used technique for modeling the
non-linear problems, but it is well known that the scheme is unstable and the convergence …

A recovery-based error indicator developed to evaluate the quality of polygonal finite
element approximations is presented in this paper. Generalisations of the finite element …

Today industries do not only require fast simulation techniques but also verification
techniques for the simulations. The proper generalized decomposition (PGD) has been …

An efficient improvement to compute Stress Intensity Factors (SIFs) in two‐dimensional
fracture mechanics problems solved by Generalized/eXtended Finite Element Method and …

The prediction of crack propagation is an important engineering problem. In this work,
combined with triangular plane stress finite elements, a new remeshing algorithm for crack …

We propose the study of a posteriori error estimates for time‐dependent generalized finite
element simulations of heat transfer problems. A residual estimate is shown to provide …

El método de los elementos finitos es una de las herramientas numéricas más utilizadas
para el diseño en ingeniería. En los últimos años se han desarrollado nuevas …