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Use of the parametrix method for estimating effective elastic moduli or randomly nonhomogeneous elastic bodies

Authors :
A. É. Puro
Source :
Journal of Applied Mechanics and Technical Physics. 17:141-144
Publication Year :
1976
Publisher :
Springer Science and Business Media LLC, 1976.

Abstract

The magnitude of the elasticity tensor of a comparison body remains unclarified if we use a singular approximation [1] to estimate the effective values of the elasticity tensor. Below we will use a parametrix method [2] to determine the first approximation of the random component of the deformation tensor and the effective values of the elasticity tensor, and will also compare the exact solution for one particular heterogeneous and a previously used approximation.

Details

ISSN :
15738620 and 00218944
Volume :
17
Database :
OpenAIRE
Journal :
Journal of Applied Mechanics and Technical Physics
Accession number :
edsair.doi...........be821e6a02e783282e88209146c7e552
Full Text :
https://doi.org/10.1007/bf00857770