In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

This paper presents a novel approach for isogeometric analysis of thin shells using
polynomial splines over hierarchical T-meshes (PHT-splines). The method exploits the …

Because most approximation functions employed in meshfree methods are rational
functions with overlapping supports, sufficiently accurate domain integration becomes costly …

Presently, it has been widely recognized that numerical integration plays a crucial role on
the solution accuracy of Galerkin meshfree methods due to the rational nature of meshfree …

A superconvergent meshfree collocation method with smoothed nodal gradients is
presented. In this method, the first order smoothed gradients of meshfree shape function are …

In this paper, a FSDT meshfree method based on the 3D continuous shell theory and
moving-least squares approximation is proposed for the first time to investigate the free …

A novel technique to evaluate the path-independent integral using nodal integration is
developed for cracked plate problems. The formulation is based on the Mindlin–Reissner …

We extend the recently proposed framework using reduced quadrature in the Finite Element
and Isogeometric methods for solid mechanics to the nonlinear realm. The proposed …

We present a comprehensive rotation-free Kirchhoff–Love (KL) shell formulation for
peridynamics (PD) that is capable of modeling large elasto-plastic deformations and fracture …

The consistency condition for the nodal derivatives in traditional meshfree Galerkin methods
is only the differentiation of the approximation consistency (DAC). One missing part is the …