Scattering on a spherical shell. Comparison of 3-D elasticity and Kirchhoff shell theory results

Authors

  • Yao-Chang Chang The University of Texas at Austin
    United States
  • Leszek Demkowicz The University of Texas at Austin
    United States

Abstract

The report is a continuation of [1]. The closed-form solutions of the scattering problem by the 3-D elasticity and Kirchhoff shell theories are investigated.

References

[1] Y.C . Chang, L. Demkowicz, Vibrations of spherical shell. Comparison of 3-D elasticity and Kirchhoff shell theory results. CAMES, 2: 187- 206, 1995.
[2] L. Demkowicz, J.T. Oden. Elastic scattering problems in linear acoustic using an h-p boundary/finite element method. In: Adaptive Finite and Boundary Element Methods, C.A. Brebbia, M.H. Aliabadi (eds.), Computational Mechanics Publications 1993.
[3] M.C. Junger, D. Feit. Sound, Structure and Their Interaction. MIT Press, 1972.
[4] A.C. Eringen, E.S. Suhubi. Elastodynamics, Vol. 2. Academic Press, New York, 1975.
[5] W.H. Press, S.A. Teukolsky, W.T . Vetterling, B.P. Flannery. Numerical Recipes in Fortran, 2nd edition. Press Syndicate of the University of Cambridge, New York, 1992.

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Published

2023-07-17

Issue

pp. 207-229

Section

Articles

How to Cite

Chang, Y.-C., & Demkowicz, L. (2023). Scattering on a spherical shell. Comparison of 3-D elasticity and Kirchhoff shell theory results. Computer Assisted Methods in Engineering and Science, 2(3), 207-229. https://cames3.ippt.pan.pl/index.php/cames/article/view/1473