Energies of circular inclusions: sliding versus bonded interfaces

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Lubarda V. A. and Markenscoff X. 1999Energies of circular inclusions: sliding versus bonded interfacesProc. R. Soc. Lond. A.455961–974http://doi.org/10.1098/rspa.1999.0344SectionRestricted accessEnergies of circular inclusions: sliding versus bonded interfaces V. A. Lubarda V. A. Lubarda Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA Google Scholar Find this author on PubMed Search for more papers by this author and X. Markenscoff X. Markenscoff Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA Google Scholar Find this author on PubMed Search for more papers by this author V. A. Lubarda V. A. Lubarda Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA Google Scholar Find this author on PubMed Search for more papers by this author and X. Markenscoff X. Markenscoff Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA Google Scholar Find this author on PubMed Search for more papers by this author Published:08 March 1999https://doi.org/10.1098/rspa.1999.0344AbstractThe elastic strain energies of circular inclusions with sliding and bonded interfaces are compared. It is shown that the energy in the inclusion with a sliding interface due to uniform eigenstrain is greater than the energy in the inclusion with a bonded interface if the Poisson ratio of the material is less than 1/6, and smaller if it is greater than 1/6. The total energy in the inclusion and the matrix due to uniform eigenstrain is always smaller in the case of a sliding inclusion. The opposite is true for the inclusion under remote uniform loading at infinity. The relationships between the energies of sliding and bonded inhomogeneities are also derived. Previous ArticleNext Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Firooz S, Steinmann P and Javili A (2021) Homogenization of Composites With Extended General Interfaces: Comprehensive Review and Unified Modeling, Applied Mechanics Reviews, 10.1115/1.4051481, 73:4, Online publication date: 1-Jul-2021. Lubarda V (2017) On elastic fields of perfectly bonded and sliding circular inhomogeneities in an infinite matrix, Acta Mechanica, 10.1007/s00707-017-2033-y, 229:4, (1597-1611), Online publication date: 1-Apr-2018. Lubarda V (2017) An analysis of edge dislocation pileups against a circular inhomogeneity or a bimetallic interface, International Journal of Solids and Structures, 10.1016/j.ijsolstr.2017.09.004, 129, (146-155), Online publication date: 1-Dec-2017. Kattis M, Karalis N and Gkouti E (2013) Energy Changes In a Stressed Unbounded Matrix Containing a Inhomogeneity Due to Formation of a Non-perfect Interface, International Journal of Fracture, 10.1007/s10704-013-9910-8, 185:1-2, (217-224), Online publication date: 1-Jan-2014. Zhou K, Hoh H, Wang X, Keer L, Pang J, Song B and Wang Q (2013) A review of recent works on inclusions, Mechanics of Materials, 10.1016/j.mechmat.2013.01.005, 60, (144-158), Online publication date: 1-Jul-2013. Kattis M and Karalis N (2012) Elastic Energies in Circular Inhomogeneities: Imperfect Versus Perfect Interfaces, Journal of Elasticity, 10.1007/s10659-012-9397-y, 111:2, (131-151), Online publication date: 1-Apr-2013. Xu B, Mueller R and Wang M (2009) The Eshelby property of sliding inclusions, Archive of Applied Mechanics, 10.1007/s00419-009-0391-1, 81:1, (19-35), Online publication date: 1-Jan-2011. Lubarda V (2003) Circular inclusions in anti-plane strain couple stress elasticity, International Journal of Solids and Structures, 10.1016/S0020-7683(03)00227-0, 40:15, (3827-3851), Online publication date: 1-Jul-2003. Wang X and Shen Y (2002) An Edge Dislocation in a Three-Phase Composite Cylinder Model With a Sliding Interface, Journal of Applied Mechanics, 10.1115/1.1467090, 69:4, (527-538), Online publication date: 1-Jul-2002. Lubarda V and Markenscoff X (1998) On the Stress Field in Sliding Ellipsoidal Inclusions With Shear Eigenstrain, Journal of Applied Mechanics, 10.1115/1.2791922, 65:4, (858-862), Online publication date: 1-Dec-1998. This Issue08 March 1999Volume 455Issue 1983 Article InformationDOI:https://doi.org/10.1098/rspa.1999.0344Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Published online08/03/1999Published in print08/03/1999 License: Citations and impact KeywordsEshelby inclusionseigenstrainsliding interfacePapkovich–Neuber potentialsstrain energy