Journal ArticleDOI
Immersed particle method for fluid–structure interaction
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TLDR
In this paper, a method for treating fluid-structure interaction of fracturing structures under impulsive loads is described, which does not require any modifications when the structure fails and allows fluid to flow through openings between crack surfaces.Abstract:
A method for treating fluid-structure interaction of fracturing structures under impulsive loads is described. The coupling method is simple and does not require any modifications when the structure fails and allows fluid to flow through openings between crack surfaces. Both the fluid and the structure are treated by meshfree methods. For the structure, a Kirchhoff-Love shell theory is adopted and the cracks are treated by introducing either discrete (cracking particle method) or continuous (partition of unity-based method) discontinuities into the approximation. Coupling is realized by a master-slave scheme where the structure is slave to the fluid. The method is aimed at problems with high-pressure and low-velocity fluids, and is illustrated by the simulation of three problems involving fracturing cylindrical shells coupled with fluids.read more
Citations
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Journal ArticleDOI
Isogeometric analysis: an overview and computer implementation aspects
TL;DR: An introduction to IGA applied to simple analysis problems and the related computer implementation aspects is presented, and implementation of the extended IGA which incorporates enrichment functions through the partition of unity method (PUM) is presented.
Journal ArticleDOI
Rotation free isogeometric thin shell analysis using PHT-splines
Nhon Nguyen-Thanh,Josef Kiendl,Hung Nguyen-Xuan,Roland Wüchner,Kai-Uwe Bletzinger,Yuri Bazilevs,Timon Rabczuk +6 more
TL;DR: A novel approach for isogeometric analysis of thin shells using polynomial splines over hierarchical T-meshes (PHT-splines) that achieves C1 continuity, so the Kirchhoff–Love theory can be used in pristine form.
Journal ArticleDOI
An extended isogeometric thin shell analysis based on Kirchhoff-Love theory
Nhon Nguyen-Thanh,N. Valizadeh,Minh Nguyen,Hung Nguyen-Xuan,Xiaoying Zhuang,Pedro M. A. Areias,Goangseup Zi,Yuri Bazilevs,L. De Lorenzis,Timon Rabczuk,Timon Rabczuk +10 more
TL;DR: An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed in this article, where the discretization is based on Non-Uniform Rational B-Splines (NURBS).
Journal ArticleDOI
Phase-field modeling of fracture in linear thin shells
TL;DR: In this paper, a phase-field model for fracture in Kirchoff-love thin shells using the local maximum-entropy (LME) mesh-free method is presented, which does not require an explicit representation and tracking, which is advantage over techniques as the extended finite element method that requires tracking of the crack paths.
Journal ArticleDOI
Phantom-node method for shell models with arbitrary cracks
TL;DR: In this paper, a phantom-node method is developed for three-node shell elements to describe cracks, which can treat arbitrary cracks independently of the mesh mesh and may cut elements completely or partially.
References
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Journal ArticleDOI
Smoothed particle hydrodynamics: Theory and application to non-spherical stars
R. A. Gingold,Joseph J Monaghan +1 more
Journal ArticleDOI
A finite element method for crack growth without remeshing
TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
Journal ArticleDOI
Element‐free Galerkin methods
Ted Belytschko,Y. Y. Lu,L. Gu +2 more
TL;DR: In this article, an element-free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems, where moving least-squares interpolants are used to construct the trial and test functions for the variational principle.
Journal ArticleDOI
Elastic crack growth in finite elements with minimal remeshing
Ted Belytschko,T. Black +1 more
TL;DR: In this article, a minimal remeshing finite element method for crack growth is presented, where Discontinuous enrichment functions are added to the finite element approximation to account for the presence of the crack.
Journal ArticleDOI
The immersed boundary method
TL;DR: This paper is concerned with the mathematical structure of the immersed boundary (IB) method, which is intended for the computer simulation of fluid–structure interaction, especially in biological fluid dynamics.
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