An insight on NURBS based isogeometric analysis, its current status and involvement in mechanical applications
The current communication is a state-of-the-art review of the recently developed
Isogeometric analysis and its various applications such as structural, thermal, fluid–structure …
Isogeometric analysis and its various applications such as structural, thermal, fluid–structure …
Mathematical analysis of variational isogeometric methods
This review paper collects several results that form part of the theoretical foundation of
isogeometric methods. We analyse variational techniques for the numerical resolution of …
isogeometric methods. We analyse variational techniques for the numerical resolution of …
[图书][B] Numerical models for differential problems
A Quarteroni, S Quarteroni - 2009 - Springer
Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
[HTML][HTML] A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
R Vázquez - Computers & Mathematics with Applications, 2016 - Elsevier
Abstract GeoPDEs (http://rafavzqz. github. io/geopdes) is an Octave/Matlab package for the
solution of partial differential equations with isogeometric analysis, first released in 2010. In …
solution of partial differential equations with isogeometric analysis, first released in 2010. In …
Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff–Love shells: CAS elements
H Casquero, KD Mathews - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Quadratic NURBS-based discretizations of the Galerkin method suffer from membrane
locking when applied to Kirchhoff–Love shell formulations. Membrane locking causes not …
locking when applied to Kirchhoff–Love shell formulations. Membrane locking causes not …
Machine learning materials physics: Integrable deep neural networks enable scale bridging by learning free energy functions
GH Teichert, AR Natarajan, A Van der Ven… - Computer Methods in …, 2019 - Elsevier
The free energy of a system is central to many material models. Although free energy data is
not generally found directly, its derivatives can be observed or calculated. In this work, we …
not generally found directly, its derivatives can be observed or calculated. In this work, we …
Multiscale finite element calculations in Python using SfePy
R Cimrman, V Lukeš, E Rohan - Advances in Computational Mathematics, 2019 - Springer
SfePy (simple finite elements in Python) is a software for solving various kinds of problems
described by partial differential equations in one, two, or three spatial dimensions by the …
described by partial differential equations in one, two, or three spatial dimensions by the …
Machine learning materials physics: Multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures
X Zhang, K Garikipati - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
Many important multi-component crystalline solids undergo mechanochemical spinodal
decomposition: a phase transformation in which the compositional redistribution is coupled …
decomposition: a phase transformation in which the compositional redistribution is coupled …
An isogeometric phase–field based shape and topology optimization for flexoelectric structures
For considering topological changes in a CAD-based framework, an isogeometric phase-
field based shape and topology optimization is developed. In this case, the diffuse interface …
field based shape and topology optimization is developed. In this case, the diffuse interface …
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics
A stabilized Isogeometric formulation of compressible flows is coupled to a large-
deformation inelastic solid with an M7 Microplane constitutive model of concrete failure …
deformation inelastic solid with an M7 Microplane constitutive model of concrete failure …