TY  - JOUR
AU  - Lyashenko, I. A.
AU  - Pastewka, Lars
AU  - Persson, Bo
TI  - On the Validity of the Method of Reduction of Dimensionality: Area of Contact, Average Interfacial Separation and Contact Stiffness
JO  - Tribology letters
VL  - 52
IS  - 2
SN  - 1573-2711
CY  - Basel
PB  - Baltzer
M1  - FZJ-2015-03798
SP  - 223 - 229
PY  - 2013
AB  - It has recently been suggested that many contact mechanics problems between solids can be accurately studied by mapping the problem on an effective one-dimensional (1D) elastic foundation model. Using this 1D mapping, we calculate the contact area and the average interfacial separation between elastic solids with nominally flat but randomly rough surfaces. We show, by comparison to exact numerical results, that the 1D mapping method fails even qualitatively. We also calculate the normal interfacial stiffness K and compare it with the result of an analytic study. We attribute the failure of the elastic foundation model to the incorrect treatment of the long-range elastic coupling between the asperity contact regions.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000326081700006
DO  - DOI:10.1007/s11249-013-0208-9
UR  - https://juser.fz-juelich.de/record/201503
ER  -