Publication Cover
Applicable Analysis
An International Journal
Volume 81, 2002 - Issue 5
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Original Articles

Generalized Marguerre-von Kármán Equations for a Nonlinearly Elastic Shallow Shell

Pages 1107-1126 | Published online: 09 Sep 2010
 

Using techniques from asymptotic analysis, we identify equations that generalize the classical Marguerre-von Kármán equations. These more general equations are justified by means of the leading term of a formal asymptotic expansion of the solution to the three-dimensional equations of nonlinear elasticity associated with a specific class of boundary conditions that characterizes "generalized Marguerre-von Kármán shallow shells".

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