A field-enriched finite element method for simulating the failure process of rocks with different defects

LF Wang, XP Zhou - Computers & Structures, 2021 - Elsevier
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 …

Adaptive phase field method for quasi-static brittle fracture using a recovery based error indicator and quadtree decomposition

C Jansari, K Kannan, RK Annabattula… - Engineering Fracture …, 2019 - Elsevier
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 …

Historical purview and recent advances in fracture mechanics of elastomeric matrix composites

M Goswami, S Sharma, G Subbarayan… - Advances in Applied …, 2023 - Elsevier
The evolution of fracture mechanics and its application for elastomeric matrix composites are
briefly discussed. We begin with the studies on development of classical fracture mechanics …

[HTML][HTML] Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis

M Kumar, T Kvamsdal, KA Johannessen - Computer Methods in Applied …, 2017 - Elsevier
In this article, we address adaptive methods for isogeometric analysis based on local
refinement guided by recovery based a posteriori error estimates. Isogeometric analysis was …

Imposition of essential boundary conditions in the material point method

M Cortis, W Coombs, C Augarde… - International Journal …, 2018 - Wiley Online Library
There is increasing interest in the material point method (MPM) as a means of modelling
solid mechanics problems in which very large deformations occur, eg in the study of …

Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery

OA González-Estrada, E Nadal, JJ Ródenas… - Computational …, 2014 - Springer
Goal-oriented error estimates (GOEE) have become popular tools to quantify and control the
local error in quantities of interest (QoI), which are often more pertinent than local errors in …

[HTML][HTML] An efficient and easy-to-implement recovery-based a posteriori error estimator for isogeometric analysis of the Stokes equation

A Abdulhaque, T Kvamsdal, KA Johannessen… - Computer Methods in …, 2024 - Elsevier
In this article, we present an efficient recovery-based a posteriori error estimator for adaptive
isogeometric analysis (IGA) of the Stokes equation, which is straightforward to implement …

Development of user element routine (UEL) for cell-based smoothed finite element method (CSFEM) in Abaqus

PY Kumbhar, A Francis, N Swaminathan… - International Journal …, 2020 - World Scientific
In this paper, we discuss the implementation of a cell-based smoothed finite element method
(CSFEM) within the commercial finite element software Abaqus. The salient feature of the …

Error estimation for the polygonal finite element method for smooth and singular linear elasticity

OA González-Estrada, S Natarajan, JJ Ródenas… - … & Mathematics with …, 2021 - Elsevier
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 …

Scale selection in nonlinear fracture mechanics of heterogeneous materials

A Akbari Rahimabadi, P Kerfriden… - Philosophical …, 2015 - Taylor & Francis
A new adaptive multiscale method for the non-linear fracture simulation of heterogeneous
materials is proposed. The two major sources of errors in the finite element simulation are …