Rapid Transient Motion of a Thin Rigid Body in an Elastic Medium

DOI10.1137/19M1255239zbMath1425.74211OpenAlexW2981847373MaRDI QIDQ5239841

Yuri A. Antipov

Publication date: 23 October 2019

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

Full work available at URL: https://doi.org/10.1137/19m1255239

zbMATH Keywords

system of singular integral equationsvector Riemann-Hilbert problemdynamic contact of a rigid body and elastic mediumrapid cavitating motion

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Contact in solid mechanics (74M15) Stress concentrations, singularities in solid mechanics (74G70) High-velocity fracture (74R15) Complex-variable methods applied to problems in solid mechanics (74S70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transonic flow of an elastic medium past a thin solid
• On the wedging of brittle bodies
• Dynamic Fracture Mechanics
• Integral relations associated with the semi-infinite Hilbert transform and applications to singular integral equations
• An Iterative Wiener--Hopf Method for Triangular Matrix Functions with Exponential Factors
• Correspondence principle in plane and axisymmetric mixed boundary-value problems of elasticity
• Subsonic Frictional Cavitating Penetration of a Thin Rigid Body Into an Elastic Medium
• Vector Riemann–Hilbert problem with almost periodic and meromorphic coefficients and applications

This page was built for publication: Rapid Transient Motion of a Thin Rigid Body in an Elastic Medium