Analytical and meshless numerical approaches to unified gradient elasticity theory

KK Żur, SA Faghidian - Engineering Analysis with Boundary Elements, 2021 - Elsevier
The unified gradient elasticity theory with applications to nano-mechanics of torsion is
examined. The Reissner stationary variational principle is invoked to detect the differential …

Fast analysis and prediction approach for geometrically nonlinear bending analysis of plates and shells using artificial neural networks

TN Nguyen, D Zhang, M Mirrashid… - … of advanced materials …, 2024 - Taylor & Francis
For the first time, this paper introduces a Fast Analysis and Prediction (FAP) approach for
geometrically nonlinear bending analysis of plates and shells. The proposed approach …

Non-conforming Trefftz finite element implementation of orthotropic Kirchhoff plate model based on consistent couple stress theory

YH Mao, Y Shang, YD Wang - Acta Mechanica, 2023 - Springer
This work proposes a new 4-node non-conforming plate element for static and dynamic
analyses of small-scale orthotropic thin plates within the consistent couple stress theory. By …

A novel super symplectic analytical singular element for crack propagation along a bimaterial interface

S Zhou, Y Ma, Z Sun, X Hu - Theoretical and Applied Fracture Mechanics, 2022 - Elsevier
In the last few years, the corresponding author and colleagues proposed a type of
symplectic analytical singular elements (SASEs) for various crack problems, such as cracks …

An adaptive order finite element method for poroelastic materials described through the Biot equations

S Jonckheere, H Bériot, O Dazel… - International Journal for …, 2022 - Wiley Online Library
Poroelastic materials are essential to engineers to improve the sound and vibration
properties of a product. The most common mathematical model that describes the vibro …

[HTML][HTML] A local frequency-dependent absorbing boundary condition for unsaturated porous media based on the theory of mixtures with interfaces

ID Moldovan - Soil Dynamics and Earthquake Engineering, 2022 - Elsevier
A novel, local and frequency-dependent absorbing boundary condition for unsaturated
porous media is presented. It relates the far-field tractions and displacements produced by a …

Optimisation of receiver's location in bender element experiments using computational wave filtration

ID Moldovan, AG Correia - Soil Dynamics and Earthquake Engineering, 2021 - Elsevier
Bender elements are shear wave transducers, used for the computation of small strain shear
moduli of geomaterials. However, the distortion of the output signal caused by residual …

Hybrid-Trefftz displacement elements for three-dimensional elastodynamics

N Climent, ID Moldovan, ED Bendea - Computational Mechanics, 2022 - Springer
In this paper the formulation of hybrid-Trefftz displacement finite elements for transient
problems in three-dimensional elastic media is derived. The mathematical model is derived …

State of art for hybrid mixed finite element formulation in non-linear analysis of structures

MRT Arruda, L Castro - Engineering Solid Mechanics, 2024 - research.manuscritpub.com
Since the late 80's the Structural Analysis Research Group of the Instituto Superior Técnico
(IST) has been involved in the development of non-conventional finite element formulations …

Three‐dimensional hybrid‐Trefftz displacement elements for poroelastodynamic problems in saturated media

N Climent, ID Moldovan… - International Journal for …, 2022 - Wiley Online Library
The hybrid‐Trefftz displacement element formulation for poroelastodyamics in three‐
dimensional saturated media is presented in this article. The governing equations are …