Details
| Original language | English |
|---|---|
| Article number | e7394 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 125 |
| Issue number | 5 |
| Publication status | Published - 7 Feb 2024 |
Abstract
In the context of a multibody numerical environment, when aiming at representing the contact interaction between bodies one needs the inclusion of special mathematical formulations. They can be geometrically described as surface-to-surface or line-to-line contacts, for instance. The last one is usually the natural choice when addressing beam-to-beam contact. In the present work, a geometrically nonlinear structural formulation is combined with a beam-to-beam (Formula presented.) spline-based contact formulation with a particular numerical strategy to address challenging contact problems. The numerical strategy consists of introducing criteria to evaluate, characterize and decide about the contact problem solutions. According to these criteria, a contact problem solution may be accepted, rejected, or proceed to a degeneration process (as a simplification of the original tentative for the geometric description). The main advantages of the proposed technique are the lack of special contact formulations for ill-defined contact problems and the automatic switch between degenerated and nondegenerated scenarios. Therefore, one can naturally handle scenarios of pointwise or conformal contact, even in situations of transition between such categories along the model evolution. The adopted spline-based formulation includes normal and tangential contact contributions. To test the proposed strategy, several pointwise and conformal contact examples are proposed.
Keywords
- contact, master-master, smooth, splines
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 125, No. 5, e7394, 07.02.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Numerical strategy for solving general C1-continuous beam-to-beam contact problems
AU - Júnior, Celso Jaco Faccio
AU - Gay Neto, Alfredo
AU - Wriggers, Peter
N1 - Funding Information: The authors would like to 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 - 2024/2/7
Y1 - 2024/2/7
N2 - In the context of a multibody numerical environment, when aiming at representing the contact interaction between bodies one needs the inclusion of special mathematical formulations. They can be geometrically described as surface-to-surface or line-to-line contacts, for instance. The last one is usually the natural choice when addressing beam-to-beam contact. In the present work, a geometrically nonlinear structural formulation is combined with a beam-to-beam (Formula presented.) spline-based contact formulation with a particular numerical strategy to address challenging contact problems. The numerical strategy consists of introducing criteria to evaluate, characterize and decide about the contact problem solutions. According to these criteria, a contact problem solution may be accepted, rejected, or proceed to a degeneration process (as a simplification of the original tentative for the geometric description). The main advantages of the proposed technique are the lack of special contact formulations for ill-defined contact problems and the automatic switch between degenerated and nondegenerated scenarios. Therefore, one can naturally handle scenarios of pointwise or conformal contact, even in situations of transition between such categories along the model evolution. The adopted spline-based formulation includes normal and tangential contact contributions. To test the proposed strategy, several pointwise and conformal contact examples are proposed.
AB - In the context of a multibody numerical environment, when aiming at representing the contact interaction between bodies one needs the inclusion of special mathematical formulations. They can be geometrically described as surface-to-surface or line-to-line contacts, for instance. The last one is usually the natural choice when addressing beam-to-beam contact. In the present work, a geometrically nonlinear structural formulation is combined with a beam-to-beam (Formula presented.) spline-based contact formulation with a particular numerical strategy to address challenging contact problems. The numerical strategy consists of introducing criteria to evaluate, characterize and decide about the contact problem solutions. According to these criteria, a contact problem solution may be accepted, rejected, or proceed to a degeneration process (as a simplification of the original tentative for the geometric description). The main advantages of the proposed technique are the lack of special contact formulations for ill-defined contact problems and the automatic switch between degenerated and nondegenerated scenarios. Therefore, one can naturally handle scenarios of pointwise or conformal contact, even in situations of transition between such categories along the model evolution. The adopted spline-based formulation includes normal and tangential contact contributions. To test the proposed strategy, several pointwise and conformal contact examples are proposed.
KW - contact
KW - master-master
KW - smooth
KW - splines
UR - http://www.scopus.com/inward/record.url?scp=85177203372&partnerID=8YFLogxK
U2 - 10.1002/nme.7394
DO - 10.1002/nme.7394
M3 - Article
AN - SCOPUS:85177203372
VL - 125
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 5
M1 - e7394
ER -