Cylinder Buckling: The Mountain Pass as an Organizing Center
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چکیده
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Cylinder Buckling: The Mountain Pass as an Organizing Center
We revisit the classical problem of the buckling of a long thin axially compressed cylindrical shell. By examining the energy landscape of the perfect cylinder, we deduce an estimate of the sensitivity of the shell to imperfections. Key to obtaining this estimate is the existence of a mountain pass point for the system. We prove the existence on bounded domains of such solutions for almost all ...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2006
ISSN: 0036-1399,1095-712X
DOI: 10.1137/050635778