This paper presents an explicit form of Tatara's theory for the large-deformation elastic spherical contact in the absence of adhesion and friction. In the case of the linear Young's modulus and neglecting the radial expansion of the contact surface, the Hertz's linear relationship between the contact radius and the power of 1/2 to the elastic displacement is modified by adding a term of the elastic displacement, while the Hertz's relationship between the applied load and the contact radius still holds. In the case of the nonlinear Young's modulus and considering the radial expansion of the contact surface, the relationship between the contact radius before the deformation and the elastic displacement is explicitly given by introducing a term of the power of 3/2 to the radius of the sphere into the Hertz's relationship. Utilizing this relationship, the explicit dependence of the applied load and the contact radius after the deformation on the contact radius and the elastic displacement are also obtained. Based on the Tatara et al.'s model for the large-deformation elastic spherical contact with a constant modulus and without the radial expansion of the contact surface, the extended JKR adhesion model is derived along Johnson et al.’s path. Introducing the DMT adhesion, the extended COS adhesion model is obtained along Schwarz's path. It provides a theoretical basis for studying the large-deformation elastic spherical contact.
Tribology International – Elsevier
Published: Mar 1, 2018
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.
Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.
All the latest content is available, no embargo periods.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera