TY - JOUR
T1 - An Intrinsic Formulation of the Von Kármán Equations
AU - Ciarlet , Philippe G.
AU - Mardare , Cristinel
JO - Communications in Mathematical Analysis and Applications
VL - 2
SP - 221
EP - 244
PY - 2023
DA - 2023/06
SN - 2
DO - http://doi.org/10.4208/cmaa.2023-0002
UR - https://global-sci.org/intro/article_detail/cmaa/21785.html
KW - Nonlinear elasticity, nonlinearly elastic plates, von Kármán equations, intrinsic elasticity, stress tensor field.
AB - <p style="text-align: justify;">To begin with, we identify the intrinsic equations of a von&nbsp;Kármán&nbsp;nonlinearly elastic plate, which allow to directly compute the stresses inside
the plate without having to first compute the displacement field, by contrast
with the classical displacement approach. Then we establish that these intrinsic
equations possess weak solutions, which are the bending moments and stress
resultants of the middle surface of the plate.</p>