an:05308909
Zbl 1141.74034
M??ller, S.; Pakzad, M. R.
Convergence of equilibria of thin elastic plates -- the von K??rm??n case
EN
Commun. Partial Differ. Equations 33, No. 6, 1018-1032 (2008).
00227103
2008
j
74K20 74B20
critical points; energy functional; nonlinear three-dimensional elasticity
Summary: We study the behaviour of thin elastic bodies of fixed cross-section and of height \(h\), with \(h \rightarrow 0\). We show that critical points of energy functional of nonlinear three-dimensional elasticity converge to critical points of von K??rm??n functional, provided that their energy per unit height is bounded by \(Ch^{4}\) (and that the stored energy density function satisfies a technical growth condition). This extends recent convergence results for absolute minimizers.