Numerical solution of the two-dimensional Steigmann-Ogden model of material surface with a boundary

DOI10.1016/J.PHYSD.2022.133531zbMath1506.74056OpenAlexW4306318950MaRDI QIDQ2677770

Anna Y. Zemlyanova, Dominik Schillinger, Sofia G. Mogilevskaya

Publication date: 6 January 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2022.133531

zbMATH Keywords

series solutionboundary integral equationsurface tensionChebyshev polynomialcomplex-variable methodsingle layer elastic potential

Mathematics Subject Classification ID

Elastic materials (74B99) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (2)

Two-dimensional problem of an Infinite matrix reinforced with a Steigmann-Ogden cylindrical surface of circular arc cross-section ⋮ Applied and computational complex analysis in the study of nonlinear phenomena

Cites Work

• Unnamed Item
• Unnamed Item
• Mathematical study of boundary-value problems within the framework of Steigmann-Ogden model of surface elasticity
• Asymptotic analysis of shell-like inclusions with high rigidity
• The stress concentration near a rigid line inclusion in a prestressed, elastic material. I: Full-field solution and asymptotics
• A continuum theory of elastic material surfaces
• Surface stress in solids
• Complex fundamental solutions and complex variables boundary element method in elasticity
• Boundary integral equations in elasticity theory
• Consistent discretization of higher-order interface models for thin layers and elastic material surfaces, enabled by isogeometric cut-cell methods
• Analysis of the antiplane problem with an embedded zero thickness layer described by the Gurtin-Murdoch model
• The effect of a thin inclusion of high rigidity in an elastic body
• Elastic surface—substrate interactions
• Plane deformations of elastic solids with intrinsic boundary elasticity
• The Interface Anticrack and Green’s Functions for Interacting Anticracks and Cracks/Anticracks
• On Dynamic Boundary Conditions Within the Linear Steigmann-Ogden Model of Surface Elasticity and Strain Gradient Elasticity

This page was built for publication: Numerical solution of the two-dimensional Steigmann-Ogden model of material surface with a boundary