Approximate resolving equations of mathematical model of a curved thin-walled cylinder

DOI10.1016/j.amc.2022.126961OpenAlexW4210283239MaRDI QIDQ2113677

Oleg P. Tkachenko, Victor Anatolievich Rukavishnikov

Publication date: 14 March 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.126961

zbMATH Keywords

shell theorynumerical experimentasymptotic seriesbent thin-walled cylinder

Mathematics Subject Classification ID

Shells (74K25) Asymptotic expansions of solutions to PDEs (35C20)

Uses Software

• UNCMND
• pchip

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stents
• New numerical method for solving time-harmonic Maxwell equations with strong singularity
• The finite element method for a boundary value problem with strong singularity
• Koiter's shell theory from the perspective of three-dimensional nonlinear elasticity
• Fluid-structure interaction between pulsatile blood flow and a curved stented coronary artery on a beating heart: a four stent computational study
• Weighted finite element method for the Stokes problem with corner singularity
• A new linear Naghdi type shell model for shells with little regularity
• Numerical analysis of the mathematical model of hydroelastic oscillations in a curved pipeline
• The general solution of thin-walled toroidal shells with various boundary conditions and subjected to arbitrary loadings
• Mathematical model of the pipeline with angular joint of elements

This page was built for publication: Approximate resolving equations of mathematical model of a curved thin-walled cylinder