Challenges and opportunities in geometric modeling of complex bio-inspired three-dimensional objects designed for additive manufacturing
N Letov, PT Velivela, S Sun… - Journal of …, 2021 - asmedigitalcollection.asme.org
Ever since its introduction over five decades ago, geometric solid modeling has been crucial
for engineering design purposes and is used in engineering software packages such as …
for engineering design purposes and is used in engineering software packages such as …
Numerical implementation for isogeometric analysis of thin-walled structures based on a Bézier extraction framework: nligaStruct
X Du, G Zhao, R Zhang, W Wang, J Yang - Thin-Walled Structures, 2022 - Elsevier
We present an open Octave/Matlab package nligaStruct, for linear and nonlinear
isogeometric analysis of thin-walled structures. nligaStruct is an extension of NLIGA in …
isogeometric analysis of thin-walled structures. nligaStruct is an extension of NLIGA in …
[HTML][HTML] Efficient CAD-integrated isogeometric analysis of trimmed solids
M Meßmer, T Teschemacher, LF Leidinger… - Computer Methods in …, 2022 - Elsevier
This publication presents a robust and efficient approach for fully CAD-integrated analyses
of solids, which aims to reduce the current modeling effort for static and transient problems …
of solids, which aims to reduce the current modeling effort for static and transient problems …
Immersed boundary-conformal isogeometric method for linear elliptic problems
We present a novel isogeometric method, namely the Immersed Boundary-Conformal
Method (IBCM), that features a layer of discretization conformal to the boundary while …
Method (IBCM), that features a layer of discretization conformal to the boundary while …
Isogeometric analysis on V-reps: first results
Inspired by the introduction of Volumetric Modeling via volumetric representations (V-reps)
by Massarwi and Elber in 2016, in this paper we present a novel approach for the …
by Massarwi and Elber in 2016, in this paper we present a novel approach for the …
[HTML][HTML] Robust numerical integration on curved polyhedra based on folded decompositions
We present a novel method to perform numerical integration over curved polyhedra
enclosed by high-order parametric surfaces. Such a polyhedron is first decomposed into a …
enclosed by high-order parametric surfaces. Such a polyhedron is first decomposed into a …
Implicit functionally graded conforming microstructures
QY Hong, G Elber, MS Kim - Computer-Aided Design, 2023 - Elsevier
The tensor product parametric representations are the most commonly used representation
in geometric modeling. Yet, other representations have advantages in certain aspects, and …
in geometric modeling. Yet, other representations have advantages in certain aspects, and …
On the computation of analytic sensitivities of eigenpairs in isogeometric analysis
The eigenmodes of resonating structures, eg, electromagnetic cavities, are sensitive to
deformations of their shape. In order to compute the sensitivities of the eigenpair with …
deformations of their shape. In order to compute the sensitivities of the eigenpair with …
Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications
Volumetric modeling is an important topic for material modeling and isogeometric
simulation. In this paper, two kinds of interpolatory Catmull-Clark volumetric subdivision …
simulation. In this paper, two kinds of interpolatory Catmull-Clark volumetric subdivision …
High order unfitted finite element discretizations for explicit boundary representations
PA Martorell, S Badia - Journal of Computational Physics, 2024 - Elsevier
When modeling scientific and industrial problems, geometries are typically modeled by
explicit boundary representations obtained from computer-aided design software. Unfitted …
explicit boundary representations obtained from computer-aided design software. Unfitted …