Weak-form quadrature element method: A comparative review of different formulations and its comprehensive assessment

M Liao - Archives of Computational Methods in Engineering, 2023 - Springer
As a relatively new computational method, the weak-form quadrature element method
(QEM) has attracted more and more worldwide attention recently. However, there exist …

On nonlocal geometrically exact shell theory and modeling fracture in shell structures

Q Zhang, S Li, AM Zhang, Y Peng - Computer Methods in Applied …, 2021 - Elsevier
In this work, we have developed a nonlocal geometrically-exact shell theory and its
computational formulation, which can model fracture and crack growth in shell structures …

Spatial weak form quadrature beam elements based on absolute nodal coordinate formulation

H Li, H Zhong - Mechanism and Machine Theory, 2023 - Elsevier
A new spatial nonlinear beam element allowing for arbitrary number of nodes is proposed.
The element which embodies the idea of weak form quadrature is established on the basis …

Weak form quadrature element analysis of crack-tip asymptotic field coefficients

H Liu, H Zhong - Theoretical and Applied Fracture Mechanics, 2022 - Elsevier
Coefficients of crack-tip asymptotic fields are computed using the weak form quadrature
element method (QEM). The entire domain is divided into several integrable subdomains …

A weak form quadrature element formulation of geometrically exact strain gradient shells

R Zhang, T Chen, J Cheng, X Yao - International Journal of Non-Linear …, 2023 - Elsevier
A geometrically exact strain gradient shell model and its weak form quadrature element
formulation are proposed. The governing equations, boundary conditions and …

Evaluation of coefficients of mode III crack-tip asymptotic fields using weak form quadrature elements

H Liu, H Zhong - Journal of Engineering Mechanics, 2023 - ascelibrary.org
A weak form quadrature element formulation is established to obtain the coefficients of Mode
III crack-tip asymptotic fields. The problem domain is divided into circular subdomains near …

Nonlinear finite element treatment of unsymmetric laminated composite shells

A Beheshti, R Ansari - Engineering with Computers, 2024 - Springer
The concentration of the current contribution is on the geometrically nonlinear analysis of
laminated composite shells employing the finite element method. For this purpose, the use is …

Novel Quadrature-Element Analysis of Plane Stress Elastoplasticity

M Liao, D Liu, X Zeng - Journal of Engineering Mechanics, 2023 - ascelibrary.org
A novel quadrature element for performing plane stress elastoplastic analysis is introduced
in this paper. Differing from the popular finite-element method, the quadrature-element …

Electromechanical coupling analysis of geometrically exact functionally graded piezoelectric shells based on weak form quadrature element method

T Chen, J Liu, R Zhang, X Yao - Archive of Applied Mechanics, 2024 - Springer
In this study, a numerical model for electro-mechanical coupling analysis of geometrically
nonlinear functionally graded piezoelectric shell is developed based on the weak form …

Weak form quadrature elements based on absolute nodal coordinate formulation for planar beamlike structures

H Li, H Zhong - Acta Mechanica, 2021 - Springer
Geometrically nonlinear analysis of planar beamlike structures is conducted using weak
form quadrature elements that are established on the basis of the absolute nodal coordinate …