TY  - BOOK
AU  - Aßmus,M.
AU  - Naumenko,K.
AU  - Altenbach,H.
TI  - Subclasses of mechanical problems arising from the direct approach for homogeneous plates
KW  - GENERALIZED PLATE THEORY
KW  - IN-PLANE
KW  - OUT-OF-PLANE
KW  - TRANSVERSE SHEAR
N2  - Pavel Andreevich Zhilin proposed a theory for deformable directed surfaces which builds a generalized framework in context of linear engineering theories of plates. We introduce this theory axiomatically, delineate the basic ideas and formalize the governing equations. In doing so we present a self-contained set of equations for time-invariant problems. Thereof, subclasses of mechanical problems can be deduced, whereby in present context the main existing theories are derived. These are in-plane and out-of-plane loaded plate problems. Next to the in-plane loaded plate problem, we also distinguish between transverse shear-deformable and transverse shear-rigid out-of-plane loaded plates. Typical representatives are the plate theories by Kirchhoff, Reissner, and Mindlin
UR  - https://drive.google.com/file/d/1jxsrRB5pvdCvKJsJVDnSCcJYIp5aXhwu/view?usp=drivesdk
ER  -