Details
Originalsprache | Englisch |
---|---|
Aufsatznummer | 105102 |
Seitenumfang | 11 |
Fachzeitschrift | International Journal of Non-Linear Mechanics |
Jahrgang | 175 |
Frühes Online-Datum | 1 Apr. 2025 |
Publikationsstatus | Elektronisch veröffentlicht (E-Pub) - 1 Apr. 2025 |
Abstract
In this paper, a weak-form numerical method, the zonal free element method (ZFrEM) is introduced to solve two-dimensional elastoplastic problems. In ZFrEM, the whole domain is divided into several sub-domains, and then a series of points are used to discretize each sub-domain. The Lagrange isoparametric element concept in the finite element method (FEM) is employed to form the collocation element for each collocation node with the neighboring points, and the system equations are generated with the point-by-point. The continuous model separates strain into elastic and plastic components, ensuring that stress variation is solely dependent on the elastic component of the strain, which is consistent with classical elasticity theory, and assuming that plastic strain is independent of stress increments, which results in a nonlinear system of equations with the coefficient matrix dependent on the current incremental stress state. For the nodes in the plastic state, a stress regression technique aligns stresses with defined yield surfaces. Three numerical examples are given to verify the accuracy and convergence of the present method for solving the elastoplastic problems.
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Werkstoffmechanik
- Ingenieurwesen (insg.)
- Maschinenbau
- Mathematik (insg.)
- Angewandte Mathematik
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in: International Journal of Non-Linear Mechanics, Jahrgang 175, 105102, 08.2025.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Numerical analysis of two-dimensional elastoplastic problems based on zonal free element method
AU - Wang, Yi Fan
AU - Gao, Xiao Wei
AU - Xu, Bing Bing
AU - Peng, Hai Feng
N1 - Publisher Copyright: © 2025 Elsevier Ltd
PY - 2025/4/1
Y1 - 2025/4/1
N2 - In this paper, a weak-form numerical method, the zonal free element method (ZFrEM) is introduced to solve two-dimensional elastoplastic problems. In ZFrEM, the whole domain is divided into several sub-domains, and then a series of points are used to discretize each sub-domain. The Lagrange isoparametric element concept in the finite element method (FEM) is employed to form the collocation element for each collocation node with the neighboring points, and the system equations are generated with the point-by-point. The continuous model separates strain into elastic and plastic components, ensuring that stress variation is solely dependent on the elastic component of the strain, which is consistent with classical elasticity theory, and assuming that plastic strain is independent of stress increments, which results in a nonlinear system of equations with the coefficient matrix dependent on the current incremental stress state. For the nodes in the plastic state, a stress regression technique aligns stresses with defined yield surfaces. Three numerical examples are given to verify the accuracy and convergence of the present method for solving the elastoplastic problems.
AB - In this paper, a weak-form numerical method, the zonal free element method (ZFrEM) is introduced to solve two-dimensional elastoplastic problems. In ZFrEM, the whole domain is divided into several sub-domains, and then a series of points are used to discretize each sub-domain. The Lagrange isoparametric element concept in the finite element method (FEM) is employed to form the collocation element for each collocation node with the neighboring points, and the system equations are generated with the point-by-point. The continuous model separates strain into elastic and plastic components, ensuring that stress variation is solely dependent on the elastic component of the strain, which is consistent with classical elasticity theory, and assuming that plastic strain is independent of stress increments, which results in a nonlinear system of equations with the coefficient matrix dependent on the current incremental stress state. For the nodes in the plastic state, a stress regression technique aligns stresses with defined yield surfaces. Three numerical examples are given to verify the accuracy and convergence of the present method for solving the elastoplastic problems.
KW - Elastoplastic mechanics
KW - Isoparametric element
KW - Nonlinear iteration
KW - Zonal free element method
UR - http://www.scopus.com/inward/record.url?scp=105002056332&partnerID=8YFLogxK
U2 - 10.1016/j.ijnonlinmec.2025.105102
DO - 10.1016/j.ijnonlinmec.2025.105102
M3 - Article
AN - SCOPUS:105002056332
VL - 175
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
SN - 0020-7462
M1 - 105102
ER -