Isogeometric analysis: an overview and computer implementation aspects

VP Nguyen, C Anitescu, SPA Bordas… - … and Computers in …, 2015 - Elsevier
Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …

The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models

D Schillinger, M Ruess - Archives of Computational Methods in …, 2015 - Springer
The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …

Geometric modeling, isogeometric analysis and the finite cell method

E Rank, M Ruess, S Kollmannsberger… - Computer Methods in …, 2012 - Elsevier
The advent of isogeometric analysis (IGA) using the same basis functions for design and
analysis constitutes a milestone in the unification of geometric modeling and numerical …

Higher‐order accurate integration of implicit geometries

TP Fries, S Omerović - International Journal for Numerical …, 2016 - Wiley Online Library
A unified strategy for the higher‐order accurate integration of implicitly defined geometries is
proposed. The geometry is represented by a higher‐order level‐set function. The task is to …

An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects

RN Simpson, SPA Bordas, H Lian, J Trevelyan - Computers & Structures, 2013 - Elsevier
The concept of isogeometric analysis, whereby the parametric functions that are used to
describe CAD geometry are also used to approximate the unknown fields in a numerical …

Weakening the tight coupling between geometry and simulation in isogeometric analysis: From sub‐and super‐geometric analysis to Geometry‐Independent Field …

E Atroshchenko, S Tomar, G Xu… - International Journal for …, 2018 - Wiley Online Library
This paper presents an approach to generalize the concept of isogeometric analysis by
allowing different spaces for the parameterization of the computational domain and for the …

Mesoscopic study of concrete with random aggregate model using phase field method

Y **a, W Wu, Y Yang, X Fu - Construction and Building Materials, 2021 - Elsevier
In the present work, the phase field method implemented by the user-defined element (UEL)
subroutine of commercial finite element software ABAQUS is adopted to investigate the …

Numerical integration of discontinuities on arbitrary domains based on moment fitting

M Joulaian, S Hubrich, A Düster - Computational Mechanics, 2016 - Springer
Discretization methods based on meshes that do not conform to the geometry of the problem
under consideration require special treatment when it comes to the integration of finite …

Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity

H Lian, P Kerfriden, SPA Bordas - International Journal for …, 2016 - Wiley Online Library
The present work addresses shape sensitivity analysis and optimization in two‐dimensional
elasticity with a regularized isogeometric boundary element method (IGABEM). Non‐uniform …

A phase-field cohesive zone model integrated with cell-based smoothed finite element method for quasi-brittle fracture simulations of concrete at mesoscale

Y Huang, Z Yang, H Zhang, S Natarajan - Computer Methods in Applied …, 2022 - Elsevier
In this work, a phase field cohesive zone model (PFCZM) combined with the cell-based
smoothed finite element method (CSFEM) is presented to investigate the quasi-brittle …