Depth-sensing indentation of a transversely isotropic elastic layer: Second-order asymptotic models for canonical indenters
Simple analytical approximations to the frictionless indentation problem for a transversely isotropic layer are obtained for spherical, conical, and pyramidal indenters as well as for axisymmetric indenters of power-low profile and self-similar non-axisymmetric indenters. These approximations are as...
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| Veröffentlicht in: | International journal of solids and structures 2011-12, Vol.48 (25), p.3444-3452 |
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| container_title | International journal of solids and structures |
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| creator | Argatov, I.I. |
| description | Simple analytical approximations to the frictionless indentation problem for a transversely isotropic layer are obtained for spherical, conical, and pyramidal indenters as well as for axisymmetric indenters of power-low profile and self-similar non-axisymmetric indenters. These approximations are asymptotically exact in the small-contact limit. The results obtained are validated in the case of an isotropic layer for spherical and conical indenters. |
| doi_str_mv | 10.1016/j.ijsolstr.2011.08.011 |
| format | Article |
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These approximations are asymptotically exact in the small-contact limit. 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These approximations are asymptotically exact in the small-contact limit. The results obtained are validated in the case of an isotropic layer for spherical and conical indenters.</description><subject>Approximation</subject><subject>Asymptotic model</subject><subject>Asymptotic properties</subject><subject>Axisymmetric</subject><subject>Berkovich indenter</subject><subject>Conical indenter</subject><subject>Depth-sensing indentation</subject><subject>Elastic layers</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Indentation</subject><subject>Indenters</subject><subject>Mathematical analysis</subject><subject>Mechanical contact (friction...)</subject><subject>Physics</subject><subject>Self-similarity</subject><subject>Solid mechanics</subject><subject>Spherical indenter</subject><subject>Structural and continuum mechanics</subject><subject>Unilateral contact problem</subject><subject>Vickers indenter</subject><issn>0020-7683</issn><issn>1879-2146</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqFkM2OFCEUhYnRxHb0FQwbEzdVAsVQ4EozzqjJJC5mXBMabikdGkouM0nHl5dOt25dncU9P7kfIa85Gznj6t1ujDssCVsdBeN8ZHrs8oRsuJ7NILhUT8mGMcGGWenpOXmBuGOMycmwDfn9Cdb2c0DIGPMPGnOA3FyLJdOyUEdbdRkfoSKkA41YWi1r9BSSw9Y1uQPU9_QOfMlhKDVApQ4P-7WV43lfAiSkS6nUu1xy9C6dN3rlS_JscQnh1VkvyPeb6_urL8Ptt89frz7eDl6KqQ3CzIufQc-LcZMOKhjQTkm1OC188Epqzy_Ba62lU24yYPTWSMb8dgIu9Ha6IG9PvWstvx4Am91H9JCSy1Ae0HI1cyGNmVW3qpPV14JYYbFrjXtXD5Yze6Rtd_YvbXukbZm2XXrwzXnDYX9y6dh8xH9pIdWkLtnR9-Hk61zgMUK16CNkDyFW8M2GEv839QeHBpzg</recordid><startdate>20111215</startdate><enddate>20111215</enddate><creator>Argatov, I.I.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope></search><sort><creationdate>20111215</creationdate><title>Depth-sensing indentation of a transversely isotropic elastic layer: Second-order asymptotic models for canonical indenters</title><author>Argatov, I.I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c423t-297fc7e87f9a38d6d9e8a646fa82cdc648c15ec8884a6a39e98b9400cb3e128b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Approximation</topic><topic>Asymptotic model</topic><topic>Asymptotic properties</topic><topic>Axisymmetric</topic><topic>Berkovich indenter</topic><topic>Conical indenter</topic><topic>Depth-sensing indentation</topic><topic>Elastic layers</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Indentation</topic><topic>Indenters</topic><topic>Mathematical analysis</topic><topic>Mechanical contact (friction...)</topic><topic>Physics</topic><topic>Self-similarity</topic><topic>Solid mechanics</topic><topic>Spherical indenter</topic><topic>Structural and continuum mechanics</topic><topic>Unilateral contact problem</topic><topic>Vickers indenter</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Argatov, I.I.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>International journal of solids and structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Argatov, I.I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Depth-sensing indentation of a transversely isotropic elastic layer: Second-order asymptotic models for canonical indenters</atitle><jtitle>International journal of solids and structures</jtitle><date>2011-12-15</date><risdate>2011</risdate><volume>48</volume><issue>25</issue><spage>3444</spage><epage>3452</epage><pages>3444-3452</pages><issn>0020-7683</issn><eissn>1879-2146</eissn><coden>IJSOAD</coden><abstract>Simple analytical approximations to the frictionless indentation problem for a transversely isotropic layer are obtained for spherical, conical, and pyramidal indenters as well as for axisymmetric indenters of power-low profile and self-similar non-axisymmetric indenters. 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| ispartof | International journal of solids and structures, 2011-12, Vol.48 (25), p.3444-3452 |
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| source | Access via ScienceDirect (Elsevier); EZB-FREE-00999 freely available EZB journals |
| subjects | Approximation Asymptotic model Asymptotic properties Axisymmetric Berkovich indenter Conical indenter Depth-sensing indentation Elastic layers Exact sciences and technology Fundamental areas of phenomenology (including applications) Indentation Indenters Mathematical analysis Mechanical contact (friction...) Physics Self-similarity Solid mechanics Spherical indenter Structural and continuum mechanics Unilateral contact problem Vickers indenter |
| title | Depth-sensing indentation of a transversely isotropic elastic layer: Second-order asymptotic models for canonical indenters |
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