NDLI: The effects of anisotropic surface elasticity on the contact problem in an anisotropic material

Content Provider	Springer Nature Link
Author	Wang, Xu Schiavone, Peter
Copyright Year	2016
Abstract	We study the contribution of surface elasticity to the two-dimensional contact problem in a generally anisotropic material using the Stroh sextic formalism. Surface elasticity is incorporated into the model of deformation using an anisotropic version of the continuum-based surface/interface model of Gurtin and Murdoch. Full-field analytic solutions are obtained in terms of exponential integrals for an anisotropic half-space when the contact surface is subjected to two particular types of loading: first, we consider the case of a uniform load (shearing and pressure) applied to an infinitely long strip of the contact surface and second, by reducing the strip to zero width, we deduce the corresponding result for a concentrated line force acting on the contact surface. The analysis indicates that the surface deformation gradient is finite in the first case of uniform loading of the strip and exhibits a weak logarithmic singularity at the location of the applied concentrated line force in the second case.
Ending Page	151
Page Count	11
Starting Page	141
File Format	PDF
ISSN	00220833
e-ISSN	15732703
Journal	Journal of Engineering Mathematics
Issue Number	1
Volume Number	101
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-03-14
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Anisotropic elasticity Analysis Classical Mechanics Contact problem Classical linear elasticity Applications of Mathematics Mathematical Modeling and Industrial Mathematics Surface elasticity Exponential integral Stroh formalism
Content Type	Text
Resource Type	Article
Subject	Mathematics Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Stroh Formalism and Rayleigh Waves

Propagation of slip pulse along frictionless contact interface with local separation between two piezoelectric solids

Analysis of dynamic instability of interfacial slip waves based on the surface impedance tensor

Boundary element solution of the plane elasticity problem for an anisotropic body with free smooth boundaries

Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material

Coupled fields of two-dimensional anisotropic magneto-electro-elastic solids with an elliptical inclusion

The completeness and a new derivation of the Stroh formalism of anisotropic linear elasticity

Research on an orthogonal relationship for orthotropic elasticity

Mathematical models arising from a survey of ferromagnetic materials under magnetisation

The effects of anisotropic surface elasticity on the contact problem in an anisotropic material

Similar Documents

Stroh Formalism and Rayleigh Waves

Propagation of slip pulse along frictionless contact interface with local separation between two piezoelectric solids

Analysis of dynamic instability of interfacial slip waves based on the surface impedance tensor

Boundary element solution of the plane elasticity problem for an anisotropic body with free smooth boundaries

Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material

Coupled fields of two-dimensional anisotropic magneto-electro-elastic solids with an elliptical inclusion

The completeness and a new derivation of the Stroh formalism of anisotropic linear elasticity

Research on an orthogonal relationship for orthotropic elasticity

Mathematical models arising from a survey of ferromagnetic materials under magnetisation

The effects of anisotropic surface elasticity on the contact problem in an anisotropic material