A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates

AR Motamedi, N Noormohammadi… - Computers & Mathematics …, 2023 - Elsevier
A novel meshfree local method is developed in the context of Trefftz approaches to solve
eigenvalue problems related to buckling and free vibration of arbitrarily shaped thin plates …

A superconvergent meshfree collocation formulation for laminated composite plates with particular focus on convergence analysis

L Deng, D Wang, X Xu, Z Lin, S Fu - Composite Structures, 2023 - Elsevier
A superconvergent meshfree collocation formulation is presented for the accurate analysis
of laminated composite plates, where the convergence characteristic is particularly …

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 …

Geometrically nonlinear vibration of toroidal sandwich shells with auxetic honeycomb core under periodic/impulsive pressure

SM Mirfatah, H Salehipour, Ö Civalek - Composite Structures, 2024 - Elsevier
The main objective of this paper is to evaluate the dynamic behaviour of sandwich toroidal
shells composed of a core with negative Poisson ratio (auxetic honeycomb material) and …

On nonlinear buckling of microshells

SM Mirfatah, MA Shahmohammadi… - International Journal of …, 2024 - Elsevier
Investigation of the geometrical nonlinear action of doubly curved shell panels (DCSPs) in
micro scale is the main target of this paper. The proposed microshell panels (MSPs) are …

A Trefftz meshfree framework for stability and dynamic analysis of laminated composite plates based on various higher order shear deformation theories

AR Motamedi, N Noormohammadi… - Engineering with …, 2024 - Springer
This paper develops a novel meshfree method based on Trefftz formulation for buckling and
free vibration analysis of laminated composite plates, considering various higher order …

Buckling and free vibration analysis of in-plane heterogeneous nanoplates using a simple boundary method

N Noormohammadi, AM Asadi… - Journal of the Brazilian …, 2023 - Springer
By ignoring van der Waals interaction between adjacent graphene layers, the whole layered
collection may be modeled as a single-layer nanoplate with variable thickness. Noting such …

A New Formulation of the Scaled Boundary Finite Element Method for Heterogeneous Media: Application to Heat Transfer Problems

N Noormohammadi, N Pirhaji Khouzani - Acta Mechanica Solida Sinica, 2024 - Springer
The solution to heat transfer problems in two-dimensional heterogeneous media is attended
based on the scaled boundary finite element method (SBFEM) coupled with equilibrated …

A novel highly accurate Trefftz attitude towards bending and free vibration analysis of doubly-curved laminated and sandwich shallow shells

AR Motamedi, N Noormohammadi… - Engineering Analysis with …, 2024 - Elsevier
This paper extends the meshless local exponential basis functions to the analysis of doubly
curved laminated and sandwich shallow shells. The method discretizes the shell domain by …