Eigenvalue asymptotics for an elastic strip and an elastic plate with a crack

DOI10.1093/QJMAM/HBW009zbMath1445.74023arXiv1511.06204OpenAlexW2964077835MaRDI QIDQ5109455

André Hänel, Timo Weidl

Publication date: 12 May 2020

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06204

zbMATH Keywords

Dirichlet-to-Neumann operatoroperator perturbationzero Poisson ratioshrinking crack

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Brittle fracture (74R10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)

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