Adaptive numerical modeling using the hierarchical Fup basis functions and control volume isogeometric analysis
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DOI: 10.1002/fld.4830
Abstract: A novel adaptive algorithm that is based on new hierarchical Fup (HF) basis functions and a control volume formulation is presented. Because of its similarity to the concept of isogeometric analysis (IGA), we refer to… read more here.
Keywords: order; basis; control volume; isogeometric analysis ... See more keywords
New insight into multilevel local refinement in adaptive isogeometric analysis
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DOI: 10.1002/nme.6564
Abstract: One of the most appealing techniques in local refinement for isogeometric analysis (IGA) is hierarchical B‐splines which can be improved by resorting to truncation mechanism called truncated hierarchical B‐splines. Although it has a simple concept,… read more here.
Keywords: analysis; new insight; local refinement; isogeometric analysis ... See more keywords
A parametric knot adaptation approach to isogeometric analysis of contact problems
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DOI: 10.1007/s00366-020-01073-0
Abstract: In this paper, an adaptive approach is presented to deal with isogeometric analysis of contact problems. Suggestion of an isogeometric adaptive refinement strategy for contact problems is the subject of this paper. Refinements are performed… read more here.
Keywords: analysis contact; isogeometric analysis; contact problems; approach ... See more keywords
Nonlinear static isogeometric analysis of cable structures
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DOI: 10.1007/s00419-018-1489-0
Abstract: The purpose of this paper is to develop and evaluate the efficiency of the cable element based on the Lagrangian formulation using the Isogeometric analysis (IGA) approach. Two Lagrangian formulations (Total Lagrangian and Updated Lagrangian)… read more here.
Keywords: analysis cable; analysis; cable; isogeometric analysis ... See more keywords
Isogeometric analysis for time-fractional partial differential equations
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DOI: 10.1007/s11075-019-00844-1
Abstract: We consider isogeometric analysis to solve the time-fractional partial differential equations: fractional diffusion and diffusion-wave equations. Traditional spatial discretization for time-fractional models include finite differences, finte elements, spectral methods, etc. A novel method-isogeometric analysis is… read more here.
Keywords: fractional partial; partial differential; time fractional; analysis ... See more keywords
Isogeometric analysis based on geometric reconstruction models
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DOI: 10.1007/s11465-021-0648-0
Abstract: In isogeometric analysis (IGA), the boundary representation of computer-aided design (CAD) and the tensor-product non-uniform rational B-spline structure make the analysis of three-dimensional (3D) problems with irregular geometries difficult. In this paper, an IGA method… read more here.
Keywords: based geometric; analysis based; analysis; isogeometric analysis ... See more keywords
Isogeometric analysis of 3D straight beam-type structures by Carrera Unified Formulation
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DOI: 10.1016/j.apm.2019.11.003
Abstract: Abstract This paper applies the isogeometric analysis (IGA) based on unified one-dimensional (1D) models to study static, free vibration and dynamic responses of metallic and laminated composite straight beam structures. By employing the Carrera Unified… read more here.
Keywords: straight beam; isogeometric analysis; unified formulation; carrera unified ... See more keywords
Isogeometric analysis of in-plane functionally graded porous microplates using modified couple stress theory
Sign Up to like & getrecommendations! Published in 2019 at "Aerospace Science and Technology"
DOI: 10.1016/j.ast.2019.05.012
Abstract: Abstract This paper examines bending, buckling and free vibration behaviors of in-plane functionally graded (FG) porous microplates by means of isogeometric analysis (IGA) and modified couple stress theory (MCST). A hyperbolic shear deformation theory is… read more here.
Keywords: porous microplates; plane functionally; functionally graded; theory ... See more keywords
Adaptive mesh refinement strategies in isogeometric analysis— A computational comparison
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DOI: 10.1016/j.cma.2016.07.029
Abstract: Abstract We explain four variants of an adaptive finite element method with cubic splines and compare their performance in simple elliptic model problems. The methods in comparison are Truncated Hierarchical B-splines with two different refinement… read more here.
Keywords: refinement strategies; adaptive mesh; isogeometric analysis; strategies isogeometric ... See more keywords
The value of continuity: Refined isogeometric analysis and fast direct solvers
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DOI: 10.1016/j.cma.2016.08.017
Abstract: Abstract We propose the use of highly continuous finite element spaces interconnected with low continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly continuous Isogeometric Analysis (IGA) discretization, we introduce C… read more here.
Keywords: refined isogeometric; highly continuous; continuity; isogeometric analysis ... See more keywords
A 3D isogeometric BE-FE analysis with dynamic remeshing for the simulation of a deformable particle in shear flows
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DOI: 10.1016/j.cma.2017.08.003
Abstract: Abstract A three-dimensional isogeometric coupled boundary element and finite element approach based on analysis suitable T-splines is developed for the simulation of deformable capsules suspended in shear flows. Boundary element analysis is used to solve… read more here.
Keywords: analysis; shear flows; isogeometric analysis; membrane ... See more keywords