Annular and circular rigid inclusions planted into a penny-shaped crack and factorization of triangular matrices

DOI10.1098/rspa.2020.0240zbMath1472.74187arXiv2002.01112OpenAlexW3033670036WikidataQ98649535 ScholiaQ98649535MaRDI QIDQ5160991

S. M. Mkhitaryan, Yuri A. Antipov

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01112

zbMATH Keywords

integral equationsRiemann-Hilbert problempenny-shaped crackmechanicsconvolution integral equationapplied mathematicsmatrix Wiener-Hopf factorizationaxisymmetric problem of elasticityannulus- and disc-shaped inclusions

Mathematics Subject Classification ID

Brittle fracture (74R10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Boundary value problems in the complex plane (30E25) Linear integral equations (45A05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solution of the problem of stress concentration around intersecting defects by using the Riemann problem with an infinite index
• Factorization on a Riemann Surface in Scattering Theory
• Correspondence principle in plane and axisymmetric mixed boundary-value problems of elasticity
• OUP accepted manuscript
• Vector Riemann–Hilbert problem with almost periodic and meromorphic coefficients and applications
• Johnson–Kendall–Roberts adhesive contact for a toroidal indenter
• Pipette aspiration testing of soft tissues: the elastic half-space model revisited
• Generalization of the grippith-sneddon criterion for the case of a nonhomogeneous body
• THE PENNY-SHAPED CRACK ON AN INTERFACE
• TRIPLE INTEGRAL EQUATIONS