Wave propagation in continuous bimodular media

Maria Kuznetsova, Maxim Khudyakov, Vladimir Sadovskii

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

The paper studies wave propagation in 1 D bimodular media. Four cases are investigated: two cases with an external step load applied to a prestressed bimodular rod and two cases with a sign-alternating pulse applied to an unloaded bimodular rod. Shock wave formation and energy dissipation are observed in two cases. Analytical solutions showing the distortion of a wave profile due to shock wave formation for all cases are derived. A method of suppressing an arbitrary tensile pulse in a bimodular rod by creating a compressive pulse is proposed. Validation by numerical modeling using a Godunov-type explicit difference scheme is performed.

Original languageEnglish
Pages (from-to)3147-3162
Number of pages16
JournalMechanics of Advanced Materials and Structures
Volume29
Issue number21
Early online date6 Apr 2021
DOIs
Publication statusPublished - 2022

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