Instabilities and cavitation in cylindrical wavy line contact: A Maugis analysis (2025)

Van Dokkum, J. S., Pérez-Ràfols, F., & Nicola, L. (2024). Instabilities and cavitation in cylindrical wavy line contact: A Maugis analysis. International Journal of Solids and Structures, 305, Article 113008. https://doi.org/10.1016/j.ijsolstr.2024.113008

Van Dokkum, Jan Steven ; Pérez-Ràfols, Francesc ; Nicola, Lucia. / Instabilities and cavitation in cylindrical wavy line contact : A Maugis analysis. In: International Journal of Solids and Structures. 2024 ; Vol. 305.

@article{ab155db2181c4b28bcfea5a0ba7006cd,

title = "Instabilities and cavitation in cylindrical wavy line contact: A Maugis analysis",

abstract = "The Maugis analysis is applied to adhesive contact between a cylinder with various wave profiles and a semi-infinite, elastic half-plane. We extend the analysis of Waters, Lee and Guduru, who consider the adhesive contact of a Hertzian indenter on a semi-infinite, elastic half-space with axi-symmetric, wave profiles. This work gives the closed-form contact mechanical solution for continuous, line contact without the need for any approximation. The resulting semi-analytical model serves to complement existing (numerical) models of adhesive line contact with the static load-area response as a reference. Herewith we analyse adhesion-induced loading-unloading hysteresis and contrast semi-analytical and numerical result to assess the limit of the former analysis. We confirm that roughness-induced dissipation vanishes with increasing wave roughness and decreasing Maugis parameter due to an increase in the range of adhesion and cavitation. Instability and cavitation are mutually exclusive at a given load-area locus yet occur successively in the same contact. An interesting result is that the Johnson parameter, that is known to govern the amplification of adhesion in the JKR-limit, bounds the load-area envelope irrespective of Maugis parameter. However, the Johnson parameter does not control the occurrence of roughness-induced dissipation and thus interface toughening.",

keywords = "Adhesion, Analytical solutions, Contact, Cylinder",

author = "{Van Dokkum}, {Jan Steven} and Francesc P{\'e}rez-R{\`a}fols and Lucia Nicola",

note = "Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.",

year = "2024",

doi = "10.1016/j.ijsolstr.2024.113008",

language = "English",

volume = "305",

journal = "International Journal of Solids and Structures",

issn = "0020-7683",

publisher = "Elsevier",

}

Van Dokkum, JS, Pérez-Ràfols, F & Nicola, L 2024, 'Instabilities and cavitation in cylindrical wavy line contact: A Maugis analysis', International Journal of Solids and Structures, vol. 305, 113008. https://doi.org/10.1016/j.ijsolstr.2024.113008

Instabilities and cavitation in cylindrical wavy line contact: A Maugis analysis. / Van Dokkum, Jan Steven; Pérez-Ràfols, Francesc; Nicola, Lucia.
In: International Journal of Solids and Structures, Vol. 305, 113008, 2024.

Research output: Contribution to journal › Article › Scientific › peer-review

TY - JOUR

T1 - Instabilities and cavitation in cylindrical wavy line contact

T2 - A Maugis analysis

AU - Van Dokkum, Jan Steven

AU - Pérez-Ràfols, Francesc

AU - Nicola, Lucia

N1 - Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2024

Y1 - 2024

N2 - The Maugis analysis is applied to adhesive contact between a cylinder with various wave profiles and a semi-infinite, elastic half-plane. We extend the analysis of Waters, Lee and Guduru, who consider the adhesive contact of a Hertzian indenter on a semi-infinite, elastic half-space with axi-symmetric, wave profiles. This work gives the closed-form contact mechanical solution for continuous, line contact without the need for any approximation. The resulting semi-analytical model serves to complement existing (numerical) models of adhesive line contact with the static load-area response as a reference. Herewith we analyse adhesion-induced loading-unloading hysteresis and contrast semi-analytical and numerical result to assess the limit of the former analysis. We confirm that roughness-induced dissipation vanishes with increasing wave roughness and decreasing Maugis parameter due to an increase in the range of adhesion and cavitation. Instability and cavitation are mutually exclusive at a given load-area locus yet occur successively in the same contact. An interesting result is that the Johnson parameter, that is known to govern the amplification of adhesion in the JKR-limit, bounds the load-area envelope irrespective of Maugis parameter. However, the Johnson parameter does not control the occurrence of roughness-induced dissipation and thus interface toughening.

AB - The Maugis analysis is applied to adhesive contact between a cylinder with various wave profiles and a semi-infinite, elastic half-plane. We extend the analysis of Waters, Lee and Guduru, who consider the adhesive contact of a Hertzian indenter on a semi-infinite, elastic half-space with axi-symmetric, wave profiles. This work gives the closed-form contact mechanical solution for continuous, line contact without the need for any approximation. The resulting semi-analytical model serves to complement existing (numerical) models of adhesive line contact with the static load-area response as a reference. Herewith we analyse adhesion-induced loading-unloading hysteresis and contrast semi-analytical and numerical result to assess the limit of the former analysis. We confirm that roughness-induced dissipation vanishes with increasing wave roughness and decreasing Maugis parameter due to an increase in the range of adhesion and cavitation. Instability and cavitation are mutually exclusive at a given load-area locus yet occur successively in the same contact. An interesting result is that the Johnson parameter, that is known to govern the amplification of adhesion in the JKR-limit, bounds the load-area envelope irrespective of Maugis parameter. However, the Johnson parameter does not control the occurrence of roughness-induced dissipation and thus interface toughening.

KW - Adhesion

KW - Analytical solutions

KW - Contact

KW - Cylinder

UR - http://www.scopus.com/inward/record.url?scp=85203284601&partnerID=8YFLogxK

U2 - 10.1016/j.ijsolstr.2024.113008

DO - 10.1016/j.ijsolstr.2024.113008

M3 - Article

AN - SCOPUS:85203284601

SN - 0020-7683

VL - 305

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

M1 - 113008

ER -

Van Dokkum JS, Pérez-Ràfols F, Nicola L. Instabilities and cavitation in cylindrical wavy line contact: A Maugis analysis. International Journal of Solids and Structures. 2024;305:113008. doi: 10.1016/j.ijsolstr.2024.113008