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ONE - DIMENSIONAL WAVE PROPAGATION PROBLEM IN A NONLOCAL FINITE MEDIUM WITH FINITE DIFFERENCE METHOD

  • Ahmet Özkan Özer
  • E. İnan
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 111)

Abstract

In this work, the wave propagation problem in one - dimensional finite medium is investigated in the context of nonlocal continuum mechanics. The main purpose of the paper is to demonstrate the end effects. Numerical solutions are obtained by the finite difference method. Furthermore, the differences between the nonlocal infinite and nonlocal finite cases are shown. It is observed that the velocity of the propagating waves is slowing down and the amplitude is decreasing due to the end effects.

Keywords

Finite Difference Method Truncation Error Nonlocal Elasticity Lame Constant Nonlocal Theory 
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References

  1. Eringen, A.C. (1974) Nonlocal elasticity and waves, Continuum Mechanics Aspect of Geodynamics and Rock Fracture Mechanics, 81–105.Google Scholar
  2. Eringen, A.C. (1984) On continous distributions of dislocations in nonlocal elasticity,J. Appl. Phys. 56(10), 2675–2680.CrossRefADSGoogle Scholar
  3. Morton, K.W., Mayers, D.F. (1993) Numerical solution of partial differential equations, Cambridge University Press.Google Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Ahmet Özkan Özer
    • 1
  • E. İnan
    • 2
  1. 1.Faculty of Science and Lettersİstanbul Technical UniversityMaslak, İstanbulTurkey
  2. 2.Faculty of Arts and SciencesIşık UniversityMaslak, İstanbulTurkey

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