An enrichment technique for bending analysis of in-plane heterogeneous thin plates with weak singularities

O Bateniparvar, N Noormohammadi - Engineering with Computers, 2023 - Springer
Static solution of thin elastic plate problems with in-plane varying thickness or material
properties having weak point singularities (eg crack tip or notches) is studied using a novel …

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 …

Enrichment of the element free Galerkin method for cracks and notches without a priori knowledge of the analytical singularity order

M Ghorbani, N Noormohammadi… - Computers & Mathematics …, 2024 - Elsevier
We introduce a novel enrichment technique for the element free Galerkin (EFG) method to
capture the infinite stress field around the crack or notch tip. The singular enrichment bases …

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 …

A simple meshless method for challenging engineering problems

A Shojaei, B Boroomand, F Mossaiby - Engineering Computations, 2015 - emerald.com
Purpose–The purpose of this paper is to present a simple meshless solution method for
challenging engineering problems such as those with high wave numbers or convection …

[HTML][HTML] Nonlocal elasticity defined by Eringen's integral model: introduction of a boundary layer method

R Abdollahi, B Boroomand - International journal of solids and structures, 2014 - Elsevier
In this paper we consider a nonlocal elasticity theory defined by Eringen's integral model
and introduce, for the first time, a boundary layer method by presenting the exponential …

The solution of direct and inverse transient heat conduction problems with layered materials using exponential basis functions

B Movahedian, B Boroomand - International journal of thermal sciences, 2014 - Elsevier
In this paper we present an extension of the formulation given in (EABE, 37 (2013) 868–883)
to direct and inverse heat conduction problems in layered materials. Expressing the …

On the use of Laplace's equation for pressure and a mesh-free method for 3D simulation of nonlinear sloshing in tanks

B Boroomand, S Bazazzadeh, SM Zandi - Ocean Engineering, 2016 - Elsevier
In this paper, it is first proven that instead of Poisson's equation one can use Laplace's
equation for the pressure, which is much simpler to solve, in Lagrangian simulation of …

[HTML][HTML] Singular functions for heterogeneous composites with cracks and notches; the use of equilibrated singular basis functions

O Bateniparvar, N Noormohammadi… - … & Mathematics with …, 2020 - Elsevier
In this paper a novel method is presented to solve problems with weak singularities in two-
dimensional heterogeneous media using equilibrated singular basis functions. This …