A simple meshfree method based on Trefftz attitude for 2D and 3D elasticity problems

N Noormohammadi, D Afifi, O Bateniparvar - Engineering Analysis with …, 2023 - Elsevier
A simple meshfree method is developed for the solution of 2D and 3D elasticity problems in
potentially heterogeneous media. The rationale of the method follows that of Trefftz …

A meshfree method for the solution of 2D and 3D second order elliptic boundary value problems in heterogeneous media

N Noormohammadi, D Afifi, B Boroomand… - … and Computers in …, 2023 - Elsevier
We propose a simple meshfree method for two-dimensional and three-dimensional second
order elliptic boundary value problems in heterogeneous media based on equilibrated basis …

Equilibrated basis functions for static analysis of in-plane heterogeneous laminated composite plates in boundary and meshfree approaches

M Azizpooryan, N Noormohammadi… - Iranian Journal of …, 2022 - Springer
In this paper, static analysis of in-plane heterogeneous laminated composite plates is
studied using equilibrated basis functions in a meshfree style based on first order shear …

Enrichment terms for line singularities in second-order elliptic boundary value problems in 3D heterogeneous media: Application to heat conduction problems

O Bateniparvar, D Afifi, N Noormohammadi… - … in Engineering Software, 2024 - Elsevier
A novel enrichment technique is proposed for the solution quality enhancement near weak
singularities along straight lines in second-order elliptic boundary value problems. The …

A boundary method using equilibrated basis functions for bending analysis of in-plane heterogeneous thick plates

N Noormohammadi, B Boroomand - Archive of Applied Mechanics, 2021 - Springer
A simple boundary method is developed for the solution of isotropic thick plates with in-
plane arbitrarily variable material properties or thickness. Equilibrated basis functions which …

Scaled Boundary Finite Element Method Coupled with Equilibrated Basis Functions for Heat Transfer Problems

N Pirhaji Khouzani, N Noormohammadi - Journal of Computational …, 2023 - jcme.iut.ac.ir
The Scaled Boundary Finite Element Method (SBFEM) discretizes only the boundary by
using a technique for scaling the domain response onto its boundary. In this research, heat …

Solution of 3D elasticity problems using meshless local equilibrated basis functions

D Afifi, N Noormohammadi… - Amirkabir Journal of Civil …, 2023 - ceej.aut.ac.ir
A mesh-free method is presented for 3D elasto-static problems in homogenous media using
Equilibrated Basic functions. The method treats satisfaction of the Partial Differential …