Higher-order hexahedral finite elements for structural dynamics: a comparative review

A Karpik, F Cosco, D Mundo - Machines, 2023 - mdpi.com
The finite element method (FEM) is widely used in many engineering applications. The
popularity of FEM led to the development of several variants of formulations, and hexahedral …

Penalty C0 8-node quadrilateral and 20-node hexahedral elements for consistent couple stress elasticity based on the unsymmetric finite element method

HP Wu, Y Shang, S Cen, CF Li - Engineering Analysis with Boundary …, 2023 - Elsevier
In this paper, the penalty unsymmetric finite element framework for the consistent couple
stress theory is derived from the virtual work principle. The C 1 continuity requirement is …

Mixed finite elements based on superconvergent patch recovery for strain gradient theory

JH Choi, BC Lee, GD Sim - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Strain gradient theory is one of the most powerful candidates to simulate micro/nano-sized
structures considering size effect. However, too many degrees of freedom (DOFs) have been …

An efficient 3-node triangular plate element for static and dynamic analyses of microplates based on modified couple stress theory with micro-inertia

YH Mao, Y Shang, S Cen, CF Li - Engineering with Computers, 2023 - Springer
Within the modified couple stress elasticity, a novel nonconforming 3-node triangular plate
element is derived from the d'Alembert–Lagrange principle for simulating the size …

A 10-node tetrahedral element with condensed Lagrange multipliers for the modified couple stress theory

JH Choi, BC Lee, GD Sim - Computers & Structures, 2021 - Elsevier
In this paper, a mixed tetrahedral element based on the Lagrange multiplier is newly
developed for the modified couple stress theory. The limitations of the Lagrange multiplier …

Penalty hexahedral element formulation for flexoelectric solids based on consistent couple stress theory

Y Shang, Z Deng, S Cen, CF Li - International Journal for …, 2024 - Wiley Online Library
This work proposes a penalty 20‐node hexahedral element for size‐dependent
electromechanical analysis based on the consistent couple stress theory. The nodal rotation …

Generalized conforming Trefftz element for size-dependent analysis of thin microplates based on the modified couple stress theory

Y Shang, YH Mao, S Cen, CF Li - Engineering Analysis with Boundary …, 2021 - Elsevier
In this work, a new displacement-based Trefftz plate element is developed for size-
dependent bending analysis of the thin plate structures in the context of the modified couple …

[HTML][HTML] Size-Dependent Finite Element Analysis of Functionally Graded Flexoelectric Shell Structures Based on Consistent Couple Stress Theory

Z Deng, Y Shang - Aerospace, 2024 - mdpi.com
The functionally graded (FG) flexoelectric material is a potential material to determine the
structural morphing of aircrafts. This work proposes the penalty 20-node element based on …

A novel assumed-strain finite element for detecting the elastic behavior of wall-like structures

M Rezaiee-Pajand… - Mechanics of …, 2022 - Taylor & Francis
It is aimed to propose a new triangular plane finite element to improve the accuracy and
reduce the computational effort for analysis of plane structures. The suggested element is …

Size-dependent analysis of porous multi-directional FG shell structures based on the modified couple stress theory using the unsymmetric finite element method

SH Wang, Y Shang, ZH Qian - Acta Mechanica, 2022 - Springer
The work proposes an efficient quadratic hexahedral solid element for size-dependent static
and dynamic analyses of porous multi-directional functionally graded materials within the …