An Existence Theorem for a Class of Nonlinear Shallow Shell Problems

نویسندگان

  • Michel BERNADOU
  • Tinsley ODEN
چکیده

ABSTRM'I. This work is devoted to the analysis of a class of nonlinear shallow shell problems. First we recall the classical nonlinear shallow shell equations of W. T. Koiter b'lsed on a representation of the middle surface of the shell by a general system of curvilinear coordinates. Next. we prove an e~istencc Theorem for solutions of these equations using the theory of pseudo,monotone operalors. Finally. we prove that solutions arc unique whenever the loads are sufficiently sm.1l1. Existence '\J1d uniqueness resulls for Ihe nonlinear theory of plates are reduced as u special case from our theory.

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تاریخ انتشار 2006