Based on a non classical plate theory, an analytical model is proposed for the first time to analyze free vibration problem of partially cracked thin isotropic submerged plate in the presence of thermal environment. The governing equation for the cracked plate is derived using the Kirchhoff’s thin plate theory and the modified couple stress theory. The crack terms are formulated using simplifie...

In the present study, the buckling analysis of single-walled carbon nanotubes (SWCNT) on the basis of a new refined beam theory is analyzed. The SWCNT is modeled as an elastic beam subjected to unidirectional compressive loads. To achieve this aim, the new proposed beam theory has only one unknown variable which leads to one equation similar to Euler beam theory and is also free from any shear ...

A novel refined arctangent exponential shear deformation theory (RAESDT) is presented for analysis the mechanical behavior of both isotropic and sandwich FGM plates. Material properties are set to be at each point varied across thickness direction obeying a power-law distribution volume fraction gradation with respect core or skins plate. Unlike high-order plate theories based on five more vari...

Trigonal curves provide an example of Brill–Noether special curves. Theorem 1.3 Larson (Invent Math 224(3):767–790, 2021) characterizes the theory general trigonal and refined stratification by splitting loci, which parametrize line bundles whose push-forward to \(\mathbb {P}^1\) has a specified type. This note describes for all Given Maroni invariant curve, we determine dimensions loci describ...