Stabilized and variationally consistent integrated meshfree formulation for advection-dominated problems

TH Huang - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Meshfree methods such as reproducing kernel (RK) approximation are suitable for modeling
fluid flow problems because of their flexibility in controlling local smoothness and order of …

A node-based consistent non-conforming gradient smoothing scheme for highly efficient Galerkin meshfree formulation

L Fan, L Deng, D Wang - Engineering with Computers, 2024 - Springer
The stabilized conforming nodal integration (SCNI) is currently widely employed in Galerkin
meshfree formulation. A key ingredient of SCNI is the strain or gradient smoothing defined …

A new meshfree variational multiscale (VMS) method for essential boundary conditions

AB Groeneveld, MC Hillman - Computer Methods in Applied Mechanics …, 2024 - Elsevier
Meshfree methods offer significant flexibility in discretizing partial differential equations,
including arbitrary smoothness uncoupled with the order of the approximation, and the …

An improved natural stabilized nodal integration for locking‐related materials in meshfree methods

HA Nguyen, S Tanaka, TQ Bui - International Journal for …, 2024 - Wiley Online Library
An improved naturally stabilized nodal integration (NSNI) is presented for resolving
displacement locking concerned with highly orthotropic and nearly incompressible materials …

A stabilized quasi and bending consistent meshfree Galerkin formulation for Reissner–Mindlin plates

TH Huang, YL Wei - Computational Mechanics, 2022 - Springer
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 …

Research on elasticity behavior of Ni-Ti shape memory alloys using the reproducing kernel particle method

Y Zhang, G Wei, T Liu - The Journal of Strain Analysis for …, 2024 - journals.sagepub.com
The unique superelastic properties of the Ni-Ti shape memory alloys (SMAs) have been
found extensive practical application in many engineering fields, but the Ni-Ti SMAs exhibits …

A stabilized one-point integrated mixed formulation for finite element and meshfree methods in modeling nearly incompressible materials

TH Huang, CL Chao - Acta Mechanica, 2022 - Springer
This study develops a stabilized Galerkin mixed formulation within a one-point integrated
framework to model nearly incompressible materials. The variational multiscale formulation …