Communications - Scientific Letters of the University of Zilina 2014, 16(4):48-52 | DOI: 10.26552/com.C.2014.4.48-52

The Acceleration Wave in a Thin Two-Material and Three-Segmental Rod with Slowly Changing Cross-Section Made of Murnaghan Material

Izabela Major1
1 Department of Technical Mechanics, Faculty of Civil Engineering, Czestochowa University of Technology, Poland

The paper presents propagation of acceleration waves in a thin rod with slowly changing cross-section made of hyperelastic Murnaghan material. Analytical calculations were made based on the models obtained for the intensity of the transmitted and reflected wave. Numerical analysis of the velocity of wave propagation in the three-segmental rod made of two compressible elastic materials (steel and aluminum) has been made.

Keywords: murnaghan material, acceleration wave, compressible material, FEM

Published: December 31, 2014  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Major, I. (2014). The Acceleration Wave in a Thin Two-Material and Three-Segmental Rod with Slowly Changing Cross-Section Made of Murnaghan Material. Communications - Scientific Letters of the University of Zilina, 16(4), 48-52. doi: 10.26552/com.C.2014.4.48-52
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. JEFFREY, A.: Acceleration Wave Propagation in Hyperelastic Rods of Variable Cross-Section, Wave motion, No. 4, 173-180, 1982 Go to original source...
    2. JEFFREY, A., GILBERT, R. P.: On the Approximation of Acceleration Waves in Rods, Int. J. Non-Linear Mechanics, vol. 22, No. 3, 209-215, 1987 Go to original source...
    3. MAJOR, I.: Propagation of Acceleration Wave in the Rod with Changing Cross-section (in Polish), Zeszyty Naukowe Politechniki Slaskiej, No. 1559, 379-386, 2002, ISSN 0434-0779
    4. MURNAGHAN, F. D.: Finite Deformations of an Elastic Solid, Amer. J. Math., 59, 235-260, 1937 Go to original source...
    5. KOSINSKI, S.: Reflection and Evolution of the Shock Wave in the Selected Hyperelastic Materials (in Polish), Wydawnictwo IPPT PAN : Warszawa, 1995, ISSN 0208-5658
    6. MAJOR, M.: Acceleration Wave in the Pre-deformed Murnaghan Material (in Polish), Z. Nauk. P. Sl., No. 1514, Budownictwo, z. 93, 305-314, Gliwice 2001, ISSN 0434-0779
    7. MAJOR, M.: Modeling of Wave Phenomena in Hyperelastic Zahorski Material (in Polish), p. 188, 2013, Wyd. P. Czest. : Czestochowa, ISBN 978-83-7193-600-5
    8. VASKO, M., GURAN, A., JAKUBOVICOVA, L., KOPAS, P.: Determination the Contact Stress Depending on the Load Rate of the NU220 Roller Bearing, Communications - Scientific Letters of the University of Zilina, No. 2, 2013, 88-94, ISSN 1335-4205. Go to original source...

    This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content