Recent works done by nano-engineers and nano-sciences about mechanical behavior of nano-plates including bending, buckling and vibration response were reviewed. The authors used non-classical elasticity theories to explain these behaviors of plate structures. Some of them employed Hamilton’s principle along with stain gradient theory, nonlocal theory, surface theory and couple stress theory to ...

Preface This paper is based on a course given at the " Dottorato di Ricerca in Matemat-ica " of the University of Rome " La Sapienza " in the Academic year 2000/2001. The intended aim of the course was to rapidly introduce, although not in an exhaustive way, the non-expert PhD student to deformations of compact complex manifolds, from the very beginning to some recent (i.e. at that time not yet...

In this paper, layerwise theory (LT) along with the first, second and third-order shear deformation theories (FSDT, SSDT and TSDT) are used to determine the stress distribution in a simply supported square sandwich plate subjected to a uniformly distributed load. Two functionally graded (FG) face sheets encapsulate an elastomeric core while two epoxy adhesive layers adhere the core to the face ...

The purpose of these notes, as suggested by the title, is not to provide any sort of comprehensive introduction to deformation theory. Rather, we attempt to convey the main ideas of the theory, with a survey of some applications. We do not explore an exhaustive list of possible topics, nor do we go into details in many proofs. However, in the case of deformations of smooth varieties we do attem...