Mathematical modeling and numerical analysis of elastic body with thin inclusion

DOI10.1007/s00466-012-0687-9zbMath1312.74014OpenAlexW2172073196MaRDI QIDQ1934523

Lyudmyla Vynnytska, Ya. A. Savula

Publication date: 29 January 2013

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-012-0687-9

zbMATH Keywords

modelingelasticityinclusionsFEM

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Junctions (74K30)

Related Items (9)

On delaminated thin Timoshenko inclusions inside elastic bodies ⋮ Asymptotic analysis of thin elastic junction between two elastic bodies ⋮ On Timoshenko thin elastic inclusions inside elastic bodies ⋮ The Griffith formula and J‐integral for elastic bodies with Timoshenko inclusions ⋮ On modeling elastic bodies with defects ⋮ Equilibrium of an elastic body with closely spaced thin inclusions ⋮ Thin inclusions in elastic bodies crossing an external boundary ⋮ Optimal control of parameters for elastic body with thin inclusions ⋮ Asymptotics of anisotropic weakly curved inclusions in an elastic body

Uses Software

• Triangle

Cites Work

• Numerical study of a junction between a three-dimensional elastic structure and a plate
• Asymptotic analysis of linearly elastic shells: `Generalized membrane shells'
• Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations
• ON KORN'S INEQUALITIES IN CURVILINEAR COORDINATES
• Bounds for the Change in the Solutions of Second Order Elliptic PDE’s when the Boundary is Perturbed
• Heterogeneous mathematical models in numerical analysis of structures.
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