Strong formulation finite element method based on differential quadrature: a survey

F Tornabene, N Fantuzzi… - Applied …, 2015 - asmedigitalcollection.asme.org
A survey of several methods under the heading of strong formulation finite element method
(SFEM) is presented. These approaches are distinguished from classical one, termed weak …

On the dynamics and stability of size-dependent symmetric FGM plates with electro-elastic coupling using meshless local Petrov-Galerkin method

VS Khorasani, KK Żur, J Kim, JN Reddy - Composite Structures, 2022 - Elsevier
In present study, the equations of motion of sandwich symmetric functionally graded size-
dependent plates integrated with piezoelectric layers are derived using Hamilton's …

[HTML][HTML] A collocation mixed finite element method for the analysis of flexoelectric solids

X Tian, J Sladek, V Sladek, Q Deng, Q Li - International Journal of Solids …, 2021 - Elsevier
A collocation mixed finite element method (MFEM) for direct and converse flexoelectricity in
piezoelectric materials is developed for 2D problems. The size-effect phenomenon in …

Free element collocation method: A new method combining advantages of finite element and mesh free methods

XW Gao, LF Gao, Y Zhang, M Cui, J Lv - Computers & Structures, 2019 - Elsevier
In this paper, a new numerical method, named as the Free Element Collocation Method
(FECM), is proposed for solving general engineering problems governed by the second …

Analysis of thermo-electro-mechanical dynamic behavior of piezoelectric structures based on zonal Galerkin free element method

WW Jiang, XW Gao - European Journal of Mechanics-A/Solids, 2023 - Elsevier
Smart materials, whether natural or synthetic, often work in the thermo-electro-mechanical
coupled field and are sensitive to stimulation from the external environment. This paper is …

Fracture analysis in piezoelectric semiconductors under a thermal load

J Sladek, V Sladek, E Pan, M Wünsche - Engineering Fracture Mechanics, 2014 - Elsevier
In this paper, we solve the in-plane crack problem in piezoelectric semiconductors under a
transient thermal load. General boundary conditions and sample geometry are allowed in …

Direct meshless local Petrov–Galerkin method for elliptic interface problems with applications in electrostatic and elastostatic

A Taleei, M Dehghan - Computer Methods in Applied Mechanics and …, 2014 - Elsevier
In recent years, there have been extensive efforts to find the numerical methods for solving
problems with interface. The main idea of this work is to introduce an efficient truly meshless …

Second-order collocation-based mixed FEM for flexoelectric solids

K Tannhäuser, PH Serrao, S Kozinov - Solids, 2023 - mdpi.com
Flexoelectricity is an electromechanical coupling between the electric field and the
mechanical strain gradient, as well as between the mechanical strains and the electric field …

Application of particle simulation methods to composite materials: a review

S Yashiro - Advanced Composite Materials, 2017 - Taylor & Francis
Particle simulation methods represent deformation of an object by motion of particles, and
their Lagrangian and discrete nature is suitable for explicit modeling of the microstructure of …

[PDF][PDF] Dynamic anti-plane crack analysis in functional graded piezoelectric semiconductor crystals

J Sladek, V Sladek, E Pan, DL Young - CMES, 2014 - cdn.techscience.cn
This paper presents a dynamic analysis of an anti-plane crack in functionally graded
piezoelectric semiconductors. General boundary conditions and sample geometry are …