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Isogeometric analysis: an overview and computer implementation aspects
Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …
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
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 …
approach with higher-order finite elements, adaptive integration, and weak enforcement of …
Geometric modeling, isogeometric analysis and the finite cell method
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 …
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 …
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
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 …
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 …
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 …
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 …
subroutine of commercial finite element software ABAQUS is adopted to investigate the …
Numerical integration of discontinuities on arbitrary domains based on moment fitting
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 …
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
The present work addresses shape sensitivity analysis and optimization in two‐dimensional
elasticity with a regularized isogeometric boundary element method (IGABEM). Non‐uniform …
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
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 …
smoothed finite element method (CSFEM) is presented to investigate the quasi-brittle …