On the transient dynamic antiplane contact problem in the presence of dry friction and slip
Research output: Contribution to journal › Article › peer-review
Standard
On the transient dynamic antiplane contact problem in the presence of dry friction and slip. / Gurrutxaga-Lerma, B.
In: International Journal of Solids and Structures, Vol. 170, 01.10.2019, p. 142-156.Research output: Contribution to journal › Article › peer-review
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - On the transient dynamic antiplane contact problem in the presence of dry friction and slip
AU - Gurrutxaga-Lerma, B.
PY - 2019/10/1
Y1 - 2019/10/1
N2 - This article models the elastodynamic transient contact between two elastically similar half planes under antiplane loading and in the presence of friction. Contact is maintained along the positive real line under the presence of a certain remote contact pressure. An antiplane shear load is applied, which entails interfacial shear traction that opposes the frictional force entailed by the contact pressure. In order to balance the surface tractions, the surface must be allowed to slip. We derive the closed form solution of the interfacial traction due to a general antiplanar displacement distribution using a variant of the Wiener-Hopf technique. We also find closed-form expressions for the interfacial shear traction due to this remote antiplane load. In combination with the frictional force, this leads to an integral equation the solution to which is the distribution of relative slip. We quantify both this and the magnitude of the interfacial shear tractions under diverse loading, showing that transient loading leads to partial reverse slip of the contact surfaces. We show that the reverse slip tends to vanish over time, and that it is ameliorated if the friction coefficient is reduced.
AB - This article models the elastodynamic transient contact between two elastically similar half planes under antiplane loading and in the presence of friction. Contact is maintained along the positive real line under the presence of a certain remote contact pressure. An antiplane shear load is applied, which entails interfacial shear traction that opposes the frictional force entailed by the contact pressure. In order to balance the surface tractions, the surface must be allowed to slip. We derive the closed form solution of the interfacial traction due to a general antiplanar displacement distribution using a variant of the Wiener-Hopf technique. We also find closed-form expressions for the interfacial shear traction due to this remote antiplane load. In combination with the frictional force, this leads to an integral equation the solution to which is the distribution of relative slip. We quantify both this and the magnitude of the interfacial shear tractions under diverse loading, showing that transient loading leads to partial reverse slip of the contact surfaces. We show that the reverse slip tends to vanish over time, and that it is ameliorated if the friction coefficient is reduced.
KW - Antiplane
KW - Contact
KW - Elastodynamic
KW - Slip
KW - Stick
UR - http://www.scopus.com/inward/record.url?scp=85064314358&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2019.04.015
DO - 10.1016/j.ijsolstr.2019.04.015
M3 - Article
AN - SCOPUS:85064314358
VL - 170
SP - 142
EP - 156
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
ER -