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Buckling of layered elastic media: A cosserat‐continuum approach and its validation
Author(s) -
Papamichos E.,
Vardoulakis I.,
Mühlhaus H.B.
Publication year - 1990
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610140703
Subject(s) - buckling , bifurcation , anisotropy , homogeneous , matrix (chemical analysis) , classical mechanics , transfer matrix , continuum mechanics , mechanics , mathematics , mathematical analysis , physics , materials science , computer science , composite material , statistical physics , optics , nonlinear system , quantum mechanics , computer vision
In this paper the stability of layered, anisotropic, hypoelastic media under initial stress is investigated. The bifurcation problem is formulated and solved numerically by use of a semi‐analytical transfer matrix method. An alternative analytical approach in dealing with inhomogeneous media is developed by representing a periodically layered medium as a homogeneous Cosserat continuum. The Cosserat‐continuum approach is validated against the numerical transfer matrix solution.