NDLI: Contact problems for a finitely deformed incompressible elastic halfspace

Content Provider	Springer Nature Link
Author	Selvadurai, A. P. S.
Copyright Year	2014
Abstract	This paper examines the class of problems related to the interaction between a finitely deformed incompressible elastic halfspace and contacting elements that include smooth, flat rigid indenters with elliptical and circular shapes and a thick plate of infinite extent. The contact between the finitely deformed elastic halfspace and the contacting elements is assumed to be bilateral. The interaction between both the rigid circular indenter and the finitely deformed halfspace is induced by a Mindlin force that acts at the interior of the halfspace regions and by exterior loads. Similar considerations apply for the contact between the flexible plate of infinite extent and the finitely deformed elastic halfspace. The theory of small deformations superposed on large deformations proposed by Green et al. (Proc R Soc Ser A 211:128–155, 1952) is used as the basis for the formulation of the problem, and results of potential theory and integral transform techniques are used to develop the analytical results. In particular, explicit results are presented for the displacement of the rigid elliptical indenter and the maximum deflection of the flexible plate induced by the Mindlin forces, when the finitely deformed halfspace region has a strain energy function of the Mooney–Rivlin form.
Starting Page	287
Ending Page	304
Page Count	18
File Format	PDF
ISSN	09351175
Journal	Continuum Mechanics and Thermodynamics
Volume Number	27
Issue Number	1-2
e-ISSN	14320959
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-08-10
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Small deformations superposed on large Elliptical and circular indenters Mindlin’s problem Plate-halfspace interaction Reissner thick plate theory Classical Continuum Physics Engineering Thermodynamics, Heat and Mass Transfer Theoretical and Applied Mechanics Structural Materials
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Materials Science

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