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Title: Contact mechanics for coated spheres that includes the transition from weak to strong adhesion

Journal Article · · Journal of Materials Research
 [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Recently published results for a rigid spherical indenter contacting a thin, linear elastic coating on a rigid planar substrate have been extended to include the case of two contacting spheres, where each sphere is rigid and coated with a thin, linear elastic material. This is done by using an appropriately chosen effective radius and coating modulus. Finally, the earlier work has also been extended to provide analytical results that span the transition between the previously derived Derjaguin–Müller–Toporov (DMT)-like (work of adhesion/coating-modulus ratio is small) and Johnson–Kendall–Roberts (JKR)-like (work of adhesion/coating-modulus ratio is large) limits.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1426947
Report Number(s):
SAND-2007-1810J; applab; 526861
Journal Information:
Journal of Materials Research, Vol. 22, Issue 09; ISSN 0884-2914
Publisher:
Materials Research SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

References (16)

The role of van der Waals forces in adhesion of micromachined surfaces journal July 2005
Master curves for Hertzian indentation on coating/substrate systems journal January 2004
Effect of contact deformations on the adhesion of particles journal November 1975
Adhesive contact to a coated elastic substrate journal February 2007
Accounting for the JKR–DMT transition in adhesion and friction measurements with atomic force microscopy journal January 2005
Adhesion in the contact of a spherical indenter with a layered elastic half-space journal September 2006
A detailed analysis of adhesion mechanics between a compliant elastic coating and a spherical probe journal September 2004
Elastic contact to a coated half-space: Effective elastic modulus and real penetration journal February 2004
Combined empirical–analytical method for determining contact radius and indenter displacement during Hertzian indentation on coating/substrate systems journal September 2004
Surface Energy and the Contact of Elastic Solids
  • Johnson, K. L.; Kendall, K.; Roberts, A. D.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 324, Issue 1558 https://doi.org/10.1098/rspa.1971.0141
journal September 1971
Thin-coating contact mechanics with adhesion journal October 2006
Contact Mechanics book January 1985
Adhesion of spheres: The JKR-DMT transition using a dugdale model journal April 1992
Adhesion between a spherical indenter and an elastic solid with a compliant elastic coating journal February 2001
Continuum Mechanics Modeling of Adhesion and Friction journal January 1996
High-Performance Surface-Micromachined Inchworm Actuator journal February 2004

Cited By (2)

Intermolecular Forces, Adhesion, and the Elastic Foundation journal March 2013
Mechanical modeling and characteristic study for the adhesive contact of elastic layered media journal October 2017

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