The numerical modeling of thin shell structures is a challenge, which has been met by a
variety of finite element method (FEM) and other formulations—many of which give rise to …

We present in this paper a simple and effective approach that incorporates isogeometric
finite element analysis (IGA) with a refined plate theory (RPT) for static, free vibration and …

A large number of advanced finite element shell formulations have been developed, but
their adoption is hindered by complexities of transforming mathematical formulations into …

A new refined plate theory (RPT) combined with isogeometric analysis (IGA) is proposed for
the static and buckling analysis of functionally graded plates (FG plates). The proposed …

In this paper, we devise cell-based maximum-entropy (max-ent) basis functions that are
used in a Galerkin method for the solution of partial differential equations. The motivation …

In Galerkin meshfree methods, because of a denser and unstructured connectivity, the
creation and assembly of sparse matrices is expensive. Additionally, the cost of computing …

The state-of-the-art locking-free meshfree Galerkin formulation for modeling the Reissner–
Mindlin plate problems is plagued by the following issues:(1) the requirement of a large …

In this study, a variational multiscale stabilized locking-free meshfree formulation is
introduced for modeling Reissner–Mindlin plate problems under arbitrary plate thickness …

In this paper, we obtain explicit expressions to evaluate the derivatives of maximum‐entropy
(max‐ent) basis function on the boundary of a convex domain. In the max‐ent formulation …

A moving Kriging interpolation (MKI) meshfree method based on naturally stabilized nodal
integration (NSNI) scheme is presented to study static, free vibration and buckling behaviors …