Details
| Original language | English |
|---|---|
| Pages (from-to) | 663-692 |
| Number of pages | 30 |
| Journal | Computational mechanics |
| Volume | 72 |
| Issue number | 4 |
| Early online date | 29 Mar 2023 |
| Publication status | Published - Oct 2023 |
Abstract
The contact between bodies is a complex phenomenon that involves mechanical interaction, frictional sliding and heat transfer, among others. A common (and convenient) approach for the mechanical interaction in a finite element framework is to directly use the geometry of the elements to formulate the contact. The main drawback lies in the sharp corners that occur when straight finite elements are connected leading eventually to contact singularities. To circumvent this issue, particularly in the context of beam-to-beam contact, the present work proposes a pointwise contact formulation based on smooth C1 continuous spline contact elements. The proposed spline-based formulation, which can be directly attached to any quadratic beam finite element formulation, guarantees a smooth description for the whole set of elements, where contact takes place. A specific nonlinear normal contact interaction law and a rheological model for friction, both with elastic and viscous damping contributions, are developed increasing robustness in practical applications. To demonstrate this robustness, specific examples are considered including comparisons with a similar surface-to-surface formulation and an alternative smooth contact scheme, smooth contact with finite elements having sharp corners, modeling of a knot tightening with self-contact, and a simulation involving multiple pointwise contacts.
Keywords
- Frictional contact, Nonlinear normal contact, Smooth contact, Spline
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 72, No. 4, 10.2023, p. 663-692.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Spline-based smooth beam-to-beam contact model
AU - Faccio Júnior, Celso Jaco
AU - Gay Neto, Alfredo
AU - Wriggers, Peter
N1 - Funding Information: The authors acknowledge the National Council for Scientific and Technological Development (CNPq) under the grants 168927/2018-7 and 304321/2021-4, and the São Paulo Research Foundation (FAPESP) under the grant 2020/13362-1.
PY - 2023/10
Y1 - 2023/10
N2 - The contact between bodies is a complex phenomenon that involves mechanical interaction, frictional sliding and heat transfer, among others. A common (and convenient) approach for the mechanical interaction in a finite element framework is to directly use the geometry of the elements to formulate the contact. The main drawback lies in the sharp corners that occur when straight finite elements are connected leading eventually to contact singularities. To circumvent this issue, particularly in the context of beam-to-beam contact, the present work proposes a pointwise contact formulation based on smooth C1 continuous spline contact elements. The proposed spline-based formulation, which can be directly attached to any quadratic beam finite element formulation, guarantees a smooth description for the whole set of elements, where contact takes place. A specific nonlinear normal contact interaction law and a rheological model for friction, both with elastic and viscous damping contributions, are developed increasing robustness in practical applications. To demonstrate this robustness, specific examples are considered including comparisons with a similar surface-to-surface formulation and an alternative smooth contact scheme, smooth contact with finite elements having sharp corners, modeling of a knot tightening with self-contact, and a simulation involving multiple pointwise contacts.
AB - The contact between bodies is a complex phenomenon that involves mechanical interaction, frictional sliding and heat transfer, among others. A common (and convenient) approach for the mechanical interaction in a finite element framework is to directly use the geometry of the elements to formulate the contact. The main drawback lies in the sharp corners that occur when straight finite elements are connected leading eventually to contact singularities. To circumvent this issue, particularly in the context of beam-to-beam contact, the present work proposes a pointwise contact formulation based on smooth C1 continuous spline contact elements. The proposed spline-based formulation, which can be directly attached to any quadratic beam finite element formulation, guarantees a smooth description for the whole set of elements, where contact takes place. A specific nonlinear normal contact interaction law and a rheological model for friction, both with elastic and viscous damping contributions, are developed increasing robustness in practical applications. To demonstrate this robustness, specific examples are considered including comparisons with a similar surface-to-surface formulation and an alternative smooth contact scheme, smooth contact with finite elements having sharp corners, modeling of a knot tightening with self-contact, and a simulation involving multiple pointwise contacts.
KW - Frictional contact
KW - Nonlinear normal contact
KW - Smooth contact
KW - Spline
UR - http://www.scopus.com/inward/record.url?scp=85151232274&partnerID=8YFLogxK
U2 - 10.1007/s00466-023-02283-1
DO - 10.1007/s00466-023-02283-1
M3 - Article
AN - SCOPUS:85151232274
VL - 72
SP - 663
EP - 692
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 4
ER -