TY - JOUR
T1 - Construction of adhesion maps for contacts between a sphere and a half-space
T2 - Considering size effects of the sphere
AU - Zhang, Yuyan
AU - Wang, Xiaoli
AU - Li, Hanqing
AU - Yang, Weixu
N1 - Publisher Copyright:
© 2015 Elsevier Inc.
PY - 2015/11/5
Y1 - 2015/11/5
N2 - Previous adhesion maps, such as the JG (Johnson-Greenwood) and YCG (Yao-Ciavarella-Gao) maps, are used to guide the selection of Bradley, DMT, M-D, JKR and Hertz models. However, when the size of the contact sphere decreases to the small scale, the applicability of JG and YCG maps is limited because the assumptions regarding the contact region profile, interaction between contact bodies and sphere shape in the classical models constituting these two maps are no longer valid. To avoid this limitation, in this paper, a new numerical model considering size effects of the sphere is established first and then introduced into the new adhesion maps together with the YGG (Yao-Guduru-Gao) model and Hertz model. Regimes of these models in the new map under a certain sphere radius are demarcated by the criteria related to the relative force differences and the ratio of contact radius to sphere radius. In addition, the approaches at pull-off, jump-in and jump-out for different Tabor parameters and sphere radii are provided in the new maps. Finally, to make the new maps more feasible, the numerical results of approaches, force and contact radius involved in the maps are formularized by using the piecewise fitting.
AB - Previous adhesion maps, such as the JG (Johnson-Greenwood) and YCG (Yao-Ciavarella-Gao) maps, are used to guide the selection of Bradley, DMT, M-D, JKR and Hertz models. However, when the size of the contact sphere decreases to the small scale, the applicability of JG and YCG maps is limited because the assumptions regarding the contact region profile, interaction between contact bodies and sphere shape in the classical models constituting these two maps are no longer valid. To avoid this limitation, in this paper, a new numerical model considering size effects of the sphere is established first and then introduced into the new adhesion maps together with the YGG (Yao-Guduru-Gao) model and Hertz model. Regimes of these models in the new map under a certain sphere radius are demarcated by the criteria related to the relative force differences and the ratio of contact radius to sphere radius. In addition, the approaches at pull-off, jump-in and jump-out for different Tabor parameters and sphere radii are provided in the new maps. Finally, to make the new maps more feasible, the numerical results of approaches, force and contact radius involved in the maps are formularized by using the piecewise fitting.
KW - Adhesion map
KW - Adhesive contact
KW - Piecewise fitting
KW - Size effect
UR - http://www.scopus.com/inward/record.url?scp=84938281477&partnerID=8YFLogxK
U2 - 10.1016/j.jcis.2015.07.027
DO - 10.1016/j.jcis.2015.07.027
M3 - Article
AN - SCOPUS:84938281477
SN - 0021-9797
VL - 458
SP - 255
EP - 265
JO - Journal of Colloid and Interface Science
JF - Journal of Colloid and Interface Science
ER -