The Kirchhoff-Love plate theory is appropriate for analysing thin structures. In a simple form, only one degree of freedom (per node) needed to describe the behaviour plate, thus saving computational cost. Besides, analysis cracked structures important because it related lifetime Therefore, this paper uses extended radial point interpolation method (XRPIM) investigate free vibration plate. XRPI...

In this paper, micromechanics methods are applied to characterize the damage of plate structures, both Love-Kirchhoff and Reissner-Mindlin plates, due to microcrack distribution. Analytical expressions for effective stiffness of a damaged plate with distributed microcracks are derived for the first time. The results are compared with the results based on continuum damage theory, and it is found...

We consider a two phase elastic thin film with soft inclusions subject to bending dominated deformations. The (void) may comprise asymptotically small droplets within the matrix. perform dimension reduction analysis and obtain novel ‘Blake-Zisserman-Kirchhoff’ functional on natural space of ‘flat fractured’ two-dimensional isometric immersions that combines Kirchhoff's classical plate theory Bl...

We present two new recovery-based a posteriori error estimates for the Hellan–Herrmann–Johnson method in Kirchhoff–Love plate theory. The first estimator uses postprocessed deflection and controls \(L^2\) moment discrete \(H^2\) error. second one \(L^2\times H^1\) total utilizes superconvergent field deflection. effectiveness of theoretical results is numerically validated several experiments.

Buckling analysis of rectangular plates subjected to various in-plane compressive loads using Kirchhoff plate theory is presented. The method of discrete singular convolution has adopted. Linearly varying, uniform and non-uniform distributed load conditions are considered on two-opposite edges for buckling. The results are obtained for different types of boundary conditions and aspect ratios. C...

We develop a hydroelastic model based on a {3,2}-order sandwich composite panel theory and Wagner’s water impact theory for investigating the fluid–structure interaction during the slamming process. The sandwich panel theory incorporates the transverse shear and the transverse normal deformations of the core, while the face sheets are modeled with the Kirchhoff plate theory. The structural mode...

A Simple three-node Discrete Kirchhoff Triangular (SDKT) plate bending element is proposed in this study to overcome some inherent difficulties and provide efficient dependable solutions engineering practice for thin structure analyses. Different from the popular DKT (Discrete Theory) triangular element, using compatible trial function transverse displacement along sides, construction of presen...

the isogeometric analysis is increasingly used in various engineering problems. it is based on non-uniform rational b-splines (nurbs) basis function applied for the solution field approximation and the geometry description. one of the major concerns with this method is finding an efficient approach to impose essential boundary conditions, especially for inhomogeneous boundaries. the main contri...

the effect of a distributed patch mass on the natural frequency of vibration of a laminated rectangular plate with simply supported boundaries is investigated. the third order displacement field of a composite laminated rectangular plate is defined using the two variable refined plate theory. equations of motion of the plate are obtained with the help of calculus of variation. parametric study ...