Results 71 to 80 of about 25,253,049 (241)
Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel +2 more
wiley +1 more source
Multipatch Approximation of the de Rham Sequence and its Traces in Isogeometric Analysis
We define a conforming B-spline discretisation of the de Rham complex on multipatch geometries. We introduce and analyse the properties of interpolation operators onto these spaces which commute w.r.t. the surface differential operators.
Buffa, Annalisa +5 more
core +1 more source
A Novel Mixed‐Hybrid, Higher‐Order Accurate Formulation for Kirchhoff–Love Shells
ABSTRACT This paper presents a novel mixed‐hybrid finite element formulation for Kirchhoff–Love shells, designed to enable the use of standard C0$C^0$‐continuous higher‐order Lagrange elements. This is possible by introducing the components of the moment tensor as a primary unknown alongside the displacement vector, circumventing the need for C1$C^1 ...
Jonas Neumeyer, Thomas‐Peter Fries
wiley +1 more source
Isogeometric analysis applied to frictionless large deformation elastoplastic contact [PDF]
This paper focuses on the application of isogeometric analysis to model frictionless large deformation contact between deformable bodies and rigid surfaces that may be represented by analytical functions. The contact constraints are satisfied exactly with
Kvamsdal, Trond +3 more
core
Robust isogeometric preconditioners for the Stokes system based on the Fast Diagonalization method
In this paper we propose a new class of preconditioners for the isogeometric discretization of the Stokes system. Their application involves the solution of a Sylvester-like equation, which can be done efficiently thanks to the Fast Diagonalization ...
Montardini, Monica +2 more
core +1 more source
An Efficient Geometrically‐Exact Nonlinear Shell Formulation Based on Rodrigues Parameters
ABSTRACT Thin‐walled structures are part of many engineering applications, as wind turbine blades, pressure vessels, and sheet metal products. A thin‐walled structure is characterized by one significantly smaller dimension compared to the others.
Cinthia A. G. Sousa +3 more
wiley +1 more source
An isogeometric Reissner–Mindlin shell element based on mixed grid
We propose in this article a new isogeometric Reissner–Mindlin degenerated shell element for linear analysis. It is based on the mixed use of non-uniform rational basis spline and Lagrange basis functions in the same domain.
Zhen Lei +2 more
doaj +1 more source
Overlapping Schwarz Methods for Isogeometric Analysis [PDF]
We construct and analyze an overlapping Schwarz preconditioner for elliptic problems discretized with isogeometric analysis. The preconditioner is based on partitioning the domain of the problem into overlapping subdomains, solving local isogeometric problems on these subdomains, and solving an additional coarse isogeometric problem associated with the
L. Beirao da Veiga +3 more
openaire +3 more sources
Stochastic Optimization of Non‐Convex Component Solution Spaces
ABSTRACT In systems engineering, solution spaces provide a practical way to reconcile competing goals by working with sets of good designs instead of point‐based solutions. Earlier contributions, however, were restricted either by limiting the dimensionality per component or, more recently, by constraining these spaces to be convex, which can, in some ...
Eduardo Rodrigues Della Noce +1 more
wiley +1 more source
An isogeometric SGBEM for crack problems of magneto-electro-elastic materials
The isogeometric symmetric Galerkin boundary element method is applied for the analysis of crack problems in two-dimensional magneto-electro-elastic domains. In this method, the field variables of the governing integral equations as well as the geometry
Han Duc Tran, Binh Huy Nguyen
doaj +1 more source

