Details
| Original language | English |
|---|---|
| Pages (from-to) | 3195-3213 |
| Number of pages | 19 |
| Journal | Engineering with computers |
| Volume | 40 |
| Issue number | 5 |
| Early online date | 9 Apr 2024 |
| Publication status | Published - Oct 2024 |
Abstract
In this paper, a new strong-form numerical method, the element differential method (EDM) is employed to solve two- and three-dimensional contact problems without friction. When using EDM, one can obtain the system of equations by directly differentiating the shape functions of Lagrange isoparametric elements for characterizing physical variables and geometry without the variational principle or any integration. Non-uniform contact discretization is used to enhance contact conditions, which avoids performing identical discretization along the contact surfaces of two contact objects. Two methods for imposing contact constraints are proposed. One method imposes Neumann boundary conditions on the contact surface, whereas the other directly applies the contact constraints as collocation equations for the nodes within the contact zone. The accuracy of the two methods is similar, but the multi-point constraints method does not increase the degrees of freedom of the system equations during the iteration process. The results of four numerical examples have verified the accuracy of the proposed method.
Keywords
- Contact problems, Element differential method, Non-conforming contact discretization, Point collocation method, Strong-form formulation
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- General Engineering
- Computer Science(all)
- Computer Science Applications
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In: Engineering with computers, Vol. 40, No. 5, 10.2024, p. 3195-3213.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Element differential method for contact problems with non-conforming contact discretization
AU - Fan, Wei Long
AU - Gao, Xiao Wei
AU - Zheng, Yong Tong
AU - Xu, Bing Bing
AU - Peng, Hai Feng
N1 - Funding Information: This work was supported by the National Natural Science Foundation of China (12072064,12272081) and the Natural Science Foundation of Liaoning Province, China (2022-MS-138).
PY - 2024/10
Y1 - 2024/10
N2 - In this paper, a new strong-form numerical method, the element differential method (EDM) is employed to solve two- and three-dimensional contact problems without friction. When using EDM, one can obtain the system of equations by directly differentiating the shape functions of Lagrange isoparametric elements for characterizing physical variables and geometry without the variational principle or any integration. Non-uniform contact discretization is used to enhance contact conditions, which avoids performing identical discretization along the contact surfaces of two contact objects. Two methods for imposing contact constraints are proposed. One method imposes Neumann boundary conditions on the contact surface, whereas the other directly applies the contact constraints as collocation equations for the nodes within the contact zone. The accuracy of the two methods is similar, but the multi-point constraints method does not increase the degrees of freedom of the system equations during the iteration process. The results of four numerical examples have verified the accuracy of the proposed method.
AB - In this paper, a new strong-form numerical method, the element differential method (EDM) is employed to solve two- and three-dimensional contact problems without friction. When using EDM, one can obtain the system of equations by directly differentiating the shape functions of Lagrange isoparametric elements for characterizing physical variables and geometry without the variational principle or any integration. Non-uniform contact discretization is used to enhance contact conditions, which avoids performing identical discretization along the contact surfaces of two contact objects. Two methods for imposing contact constraints are proposed. One method imposes Neumann boundary conditions on the contact surface, whereas the other directly applies the contact constraints as collocation equations for the nodes within the contact zone. The accuracy of the two methods is similar, but the multi-point constraints method does not increase the degrees of freedom of the system equations during the iteration process. The results of four numerical examples have verified the accuracy of the proposed method.
KW - Contact problems
KW - Element differential method
KW - Non-conforming contact discretization
KW - Point collocation method
KW - Strong-form formulation
UR - http://www.scopus.com/inward/record.url?scp=85189892141&partnerID=8YFLogxK
U2 - 10.1007/s00366-024-01963-7
DO - 10.1007/s00366-024-01963-7
M3 - Article
AN - SCOPUS:85189892141
VL - 40
SP - 3195
EP - 3213
JO - Engineering with computers
JF - Engineering with computers
SN - 0177-0667
IS - 5
ER -