Details
| Original language | English |
|---|---|
| Pages (from-to) | 3871-3883 |
| Number of pages | 13 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 198 |
| Issue number | 49-52 |
| Publication status | Published - 29 Aug 2009 |
Abstract
A three-dimensional finite element model for nanoscale contact problems with strong adhesion is presented. The contact description is based on the Lennard-Jones potential, which is suitable to describe van der Waals attraction between interacting bodies. The potential is incorporated into the framework of nonlinear continuum mechanics, and two different formulations, a body force (BF) and a surface force (SF) formulation, are derived. It is demonstrated that the model is highly accurate for contact surfaces where the minimum local curvature radius of the surface roughness is as low as 8 nm. The finite element implementation of the two formulations is provided and the overall contact algorithm is discussed. The numerical accuracy of the finite element discretization is analyzed in detail. It is shown that the SF formulation is more efficient than the BF formulation but loses accuracy as the strength of adhesion increases. The model has applications in computational biomechanics as is demonstrated by the computation of the adhesion of a gecko spatula.
Keywords
- Computational contact, Gecko adhesion, Nanoscale adhesion, Nonlinear continuum mechanics, Nonlinear finite element methods
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. 198, No. 49-52, 29.08.2009, p. 3871-3883.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Formulation and analysis of a three-dimensional finite element implementation for adhesive contact at the nanoscale
AU - Sauer, Roger A.
AU - Wriggers, Peter
PY - 2009/8/29
Y1 - 2009/8/29
N2 - A three-dimensional finite element model for nanoscale contact problems with strong adhesion is presented. The contact description is based on the Lennard-Jones potential, which is suitable to describe van der Waals attraction between interacting bodies. The potential is incorporated into the framework of nonlinear continuum mechanics, and two different formulations, a body force (BF) and a surface force (SF) formulation, are derived. It is demonstrated that the model is highly accurate for contact surfaces where the minimum local curvature radius of the surface roughness is as low as 8 nm. The finite element implementation of the two formulations is provided and the overall contact algorithm is discussed. The numerical accuracy of the finite element discretization is analyzed in detail. It is shown that the SF formulation is more efficient than the BF formulation but loses accuracy as the strength of adhesion increases. The model has applications in computational biomechanics as is demonstrated by the computation of the adhesion of a gecko spatula.
AB - A three-dimensional finite element model for nanoscale contact problems with strong adhesion is presented. The contact description is based on the Lennard-Jones potential, which is suitable to describe van der Waals attraction between interacting bodies. The potential is incorporated into the framework of nonlinear continuum mechanics, and two different formulations, a body force (BF) and a surface force (SF) formulation, are derived. It is demonstrated that the model is highly accurate for contact surfaces where the minimum local curvature radius of the surface roughness is as low as 8 nm. The finite element implementation of the two formulations is provided and the overall contact algorithm is discussed. The numerical accuracy of the finite element discretization is analyzed in detail. It is shown that the SF formulation is more efficient than the BF formulation but loses accuracy as the strength of adhesion increases. The model has applications in computational biomechanics as is demonstrated by the computation of the adhesion of a gecko spatula.
KW - Computational contact
KW - Gecko adhesion
KW - Nanoscale adhesion
KW - Nonlinear continuum mechanics
KW - Nonlinear finite element methods
UR - http://www.scopus.com/inward/record.url?scp=70350144066&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2009.08.019
DO - 10.1016/j.cma.2009.08.019
M3 - Article
AN - SCOPUS:70350144066
VL - 198
SP - 3871
EP - 3883
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 49-52
ER -