Details
| Original language | English |
|---|---|
| Article number | 112971 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 365 |
| Publication status | Published - 26 Mar 2020 |
Abstract
When computing pointwise contact between bodies in a numerical model, one has to define a gap quantity. This is evaluated along the model evolution to quantify contact contributions. In this context, the evaluation of the gap for a fixed configuration of the system is here denoted as the local contact problem (LCP). Present work discusses the LCP in the context of the master–master contact formulation between surfaces, which yields the solution of a four-variable set of nonlinear equations. We present and solve the LCP employing trust-region optimization methods, leading to a robust and general scheme. After, the developed method is applied for several examples of contact involving surface parameterizations, such as super-elliptical extruded surfaces in the context of beam-to-beam contact, arc-based extruded and revolved surfaces and NURBS surfaces for rigid body contact modeling. Applications are quite general, such as pointwise contact involving finite elements and contact between particles addressed by the discrete element method. The main contribution of present work is the discussion, characterization and a proposal for solution algorithm of the LCP in the context of the master–master contact between surfaces. This is fundamental for a successful use of master–master contact schemes.
Keywords
- Contact, Master–master, Optimization, Trust-region
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 365, 112971, 26.03.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Numerical method for solution of pointwise contact between surfaces
AU - Gay Neto, Alfredo
AU - Wriggers, Peter
N1 - Funding information: The first author acknowledges National Council for Scientific and Technological Development (CNPq) under the grant 304680/2018-4 .
PY - 2020/3/26
Y1 - 2020/3/26
N2 - When computing pointwise contact between bodies in a numerical model, one has to define a gap quantity. This is evaluated along the model evolution to quantify contact contributions. In this context, the evaluation of the gap for a fixed configuration of the system is here denoted as the local contact problem (LCP). Present work discusses the LCP in the context of the master–master contact formulation between surfaces, which yields the solution of a four-variable set of nonlinear equations. We present and solve the LCP employing trust-region optimization methods, leading to a robust and general scheme. After, the developed method is applied for several examples of contact involving surface parameterizations, such as super-elliptical extruded surfaces in the context of beam-to-beam contact, arc-based extruded and revolved surfaces and NURBS surfaces for rigid body contact modeling. Applications are quite general, such as pointwise contact involving finite elements and contact between particles addressed by the discrete element method. The main contribution of present work is the discussion, characterization and a proposal for solution algorithm of the LCP in the context of the master–master contact between surfaces. This is fundamental for a successful use of master–master contact schemes.
AB - When computing pointwise contact between bodies in a numerical model, one has to define a gap quantity. This is evaluated along the model evolution to quantify contact contributions. In this context, the evaluation of the gap for a fixed configuration of the system is here denoted as the local contact problem (LCP). Present work discusses the LCP in the context of the master–master contact formulation between surfaces, which yields the solution of a four-variable set of nonlinear equations. We present and solve the LCP employing trust-region optimization methods, leading to a robust and general scheme. After, the developed method is applied for several examples of contact involving surface parameterizations, such as super-elliptical extruded surfaces in the context of beam-to-beam contact, arc-based extruded and revolved surfaces and NURBS surfaces for rigid body contact modeling. Applications are quite general, such as pointwise contact involving finite elements and contact between particles addressed by the discrete element method. The main contribution of present work is the discussion, characterization and a proposal for solution algorithm of the LCP in the context of the master–master contact between surfaces. This is fundamental for a successful use of master–master contact schemes.
KW - Contact
KW - Master–master
KW - Optimization
KW - Trust-region
UR - http://www.scopus.com/inward/record.url?scp=85082172424&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2020.112971
DO - 10.1016/j.cma.2020.112971
M3 - Article
AN - SCOPUS:85082172424
VL - 365
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 112971
ER -