TY - JOUR
T1 - The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity
JF - Calculus of Variations and Partial Differential Equations 41 (2011) 241-259
Y1 - 2011
A1 - Helmut Abels
A1 - Maria Giovanna Mora
A1 - Stefan Müller
AB - The asymptotic behaviour of the solutions of three-dimensional nonlinear elastodynamics in a thin plate is studied, as the thickness $h$ of the plate tends to zero. Under appropriate scalings of the applied force and of the initial values in terms of $h$, it is shown that three-dimensional solutions of the nonlinear elastodynamic equation converge to solutions of the time-dependent von K\\\\\\\'arm\\\\\\\'an plate equation.
PB - Springer
UR - http://hdl.handle.net/1963/3835
U1 - 492
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -