On the analysis of elastic layers by a Fourier series, Green's function approach

Giorgio Novati

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1987)

  • Volume: 81, Issue: 3, page 293-304
  • ISSN: 1120-6330

Abstract

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The plane strain elastic analysis of a homogeneous and isotropic layer of constant thickness, is formulated using Fourier series expansions in the direction parallel to the layer and suitable Green's functions in the transversal direction. For each frequency the unknown distributions of the Fourier coefficients relevant to the symmetric or skew-symmetric problems are governed by one-dimensional equations which can be solved exactly. The proposed method is used to critically discuss the "transfer" of static and kinematic quantities through the layer.

How to cite

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Novati, Giorgio. "On the analysis of elastic layers by a Fourier series, Green's function approach." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 81.3 (1987): 293-304. <http://eudml.org/doc/287396>.

@article{Novati1987,
abstract = {The plane strain elastic analysis of a homogeneous and isotropic layer of constant thickness, is formulated using Fourier series expansions in the direction parallel to the layer and suitable Green's functions in the transversal direction. For each frequency the unknown distributions of the Fourier coefficients relevant to the symmetric or skew-symmetric problems are governed by one-dimensional equations which can be solved exactly. The proposed method is used to critically discuss the "transfer" of static and kinematic quantities through the layer.},
author = {Novati, Giorgio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Elastic layers; Green's functions; Transfer matrices; transfer matrices; single homogeneous; isotropic layer; plane strain elastic analysis; Fourier series expansions; frequency the unknown distributions of the Fourier coefficients; symmetric; skew-symmetric problems; one-dimensional equations},
language = {eng},
month = {9},
number = {3},
pages = {293-304},
publisher = {Accademia Nazionale dei Lincei},
title = {On the analysis of elastic layers by a Fourier series, Green's function approach},
url = {http://eudml.org/doc/287396},
volume = {81},
year = {1987},
}

TY - JOUR
AU - Novati, Giorgio
TI - On the analysis of elastic layers by a Fourier series, Green's function approach
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1987/9//
PB - Accademia Nazionale dei Lincei
VL - 81
IS - 3
SP - 293
EP - 304
AB - The plane strain elastic analysis of a homogeneous and isotropic layer of constant thickness, is formulated using Fourier series expansions in the direction parallel to the layer and suitable Green's functions in the transversal direction. For each frequency the unknown distributions of the Fourier coefficients relevant to the symmetric or skew-symmetric problems are governed by one-dimensional equations which can be solved exactly. The proposed method is used to critically discuss the "transfer" of static and kinematic quantities through the layer.
LA - eng
KW - Elastic layers; Green's functions; Transfer matrices; transfer matrices; single homogeneous; isotropic layer; plane strain elastic analysis; Fourier series expansions; frequency the unknown distributions of the Fourier coefficients; symmetric; skew-symmetric problems; one-dimensional equations
UR - http://eudml.org/doc/287396
ER -

References

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  1. BREBBIA, C.A., TELLES, J.C.F. and WROBEL, L.C. (1984) - Boundary Element Techniques, Springer-Verlag, Berlin. Zbl0556.73086
  2. CHEUNG, Y.K. and FAN, S.C. (1979) - Analysis of Pavements and Layered Foundations by the Finite Layer Method, «Proc. Int. Conf. on Num. Meth. in Geomech., Aachen», Vol. 3, A.A. Balkema, Rotterdam, 1129-1135. 
  3. FORSYTHE, G.E. and MOLER, C.B. (1967) - Computer Solution of Linear Algebraic System, Prentice-Hall, Englewood Cliffs, N.J. Zbl0154.40401MR219223
  4. MAIER, G. and NOVATI, G. (1986) - On Boundary Element - Transfer Matrix Analysis of Layered Elastic System, «Engineering Analysis», 3, 208-216. 
  5. MAIER, G. and NOVATI, G. (1987) - Boundary Element Elastic Analysis of Layered Soils by a Successive Stiffness Method, «Int. J. Num. Anal. Meth. Geomechanics», 11, 435-447. Zbl0616.73097
  6. SMALL, J.C. and BOOKER, J.R. (1984) - Finite Layer Analysis of Layered Elastic Materials using a Flexibility Approach, «Int. J. Num. Meth. Engng.», 20, 1025-1037. Zbl0535.73051

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