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Structural stability in porous elasticity
Author(s) -
Stan Chiriţă,
Michele Ciarletta,
Brian Straughan
Publication year - 2006
Publication title -
proceedings of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
eISSN - 1471-2946
pISSN - 1364-5021
DOI - 10.1098/rspa.2006.1695
Subject(s) - elasticity (physics) , structural stability , stability (learning theory) , mathematical analysis , mathematics , coupling (piping) , zero (linguistics) , physics , mechanics , classical mechanics , materials science , thermodynamics , structural engineering , engineering , computer science , composite material , linguistics , philosophy , machine learning
We consider the linearized system of equations for an elastic body with voids as derived by Cowin & Nunziato. We demonstrate that the solution depends continuously onchanges in the coefficients, which couple the equations of elastic deformation and of voids. It is also shown that the solution to the coupled system converges, in an appropriate measure, to the solutions of the uncoupled systems as the coupling coefficients tend to zero

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