A Dimension-Reduction Based Coupled Model of Mesh-Reinforced Shells

DOI10.1137/16M1088181zbMath1362.74004OpenAlexW2609811894MaRDI QIDQ5346787

Matko Ljulj, Matea Galović, Sunčica Čanić, Josip Tambača

Publication date: 29 May 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1088181

zbMATH Keywords

reduced modelscomposite structuresmesh-reinforced shell

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Shells (74K25) Medical applications (general) (92C50) Junctions (74K30)

Related Items (5)

Optimal design of vascular stents using a network of 1D slender curved rods ⋮ A new two-dimensional blood flow model with arbitrary cross sections ⋮ Geometric optimization of vascular stents modeled as networks of 1D rods ⋮ Analysis of a 3D nonlinear, moving boundary problem describing fluid-mesh-shell interaction ⋮ Analysis of a linear 3D fluid-mesh-shell interaction problem

Uses Software

• FreeFem++

Cites Work

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• A nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stents
• A new linear shell model for shells with little regularity
• Nonlinear dynamics of elastic rods using the Cosserat theory: modelling and simulation
• A coupled momentum method for modeling blood flow in three-dimensional deformable arteries
• Longitudinal displacement in viscoelastic arteries: a novel fluid-structure interaction computational model, and experimental validation
• A new linear Naghdi type shell model for shells with little regularity
• Mathematical Modeling of Vascular Stents
• Modeling Viscoelastic Behavior of Arterial Walls and Their Interaction with Pulsatile Blood Flow
• ASYMPTOTIC BEHAVIOR OF STRUCTURES MADE OF CURVED RODS
• An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions
• Mixed formulation of the one-dimensional equilibrium model for elastic stents
• LINEAR CURVED ROD MODEL: GENERAL CURVE
• DERIVATION AND JUSTIFICATION OF A CURVED ROD MODEL
• Cardiovascular stents as PDE nets: 1D vs. 3D
• The nonlinear bending-torsion theory for curved rods as Gamma-limit of three-dimensional elasticity
• Nonlinear problems of elasticity

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