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...

Finite element formulations based generally on classical beam theories such as Euler-Bernoulli or Timoshenko. Sometimes, these two formulations could be problematic expressed in terms of restrictions of Euler-Bernoulli beam theory, in case of thicker beams due to non-consideration of transverse shear; phenomenon that is known as shear locking characterized the Timoshenko beam theory, in case of...

The classical reduced model for film/substrate bilayers is the one in which film governed by Euler–Bernoulli beam equation, and substrate replaced an array of springs (the so-called Winkler foundation assumption). We derive a refined normal shear tractions at bottom are expressed terms corresponding horizontal vertical displacements, response half-space described exact theory. self-consistency ...

This article deals with the mechanical analysis of a fixed-fixed nano-beam based on nonlocal elasticity theory. The nano-beam is sandwiched with two piezoelectric layers through it’s upper and lower sides. The electromechanical coupled equations governing the problem are derived based nonlocal theory considering to Euler-Bernoulli beam assumptions and based on the nonlocal piezoelectricity acco...

In this paper a variationally consistent trigonometric shear deformation theory is presented for the free vibration of thick isotropic square and rectangular plate. In this displacement based theory, the in-plane displacement field uses sinusoidal function in terms of thickness coordinate to include the shear deformation effect. The cosine function in terms of thickness coordinate is used in tr...