Dilatation of a One-Dimensional Nonlinear Crack Impacted by a Periodic Elastic Wave

DOI10.1137/080741021zbMath1197.34076arXiv0811.2737OpenAlexW1969588267MaRDI QIDQ3575172

Stéphane Junca, Bruno Lombard

Publication date: 7 July 2010

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

Full work available at URL: https://arxiv.org/abs/0811.2737

zbMATH Keywords

elastic wave scatteringcontact acoustic nonlinearitydependence of solutions on parametersnonlinear jump conditionsperiodic solutions of differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Wave scattering in solid mechanics (74J20) Growth and boundedness of solutions to ordinary differential equations (34C11) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (3)

INTERACTION BETWEEN PERIODIC ELASTIC WAVES AND TWO CONTACT NONLINEARITIES ⋮ Triple scale analysis of periodic solutions and resonance of some asymmetric non linear vibrating systems ⋮ Stability of neutral delay differential equations modeling wave propagation in cracked media

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