Equilibrium of a screw dislocation near the interface in a coated solid
A Fourier-transform-based method for the calculation of stresses produced by dislocations in multilayer materials is proposed. In order to illustrate the approach proposed, the components of the stress tensor of a screw dislocation in a solid with a coating have been calculated and the equilibrium p...
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| Veröffentlicht in: | Physics of metals and metallography 2012-05, Vol.113 (5), p.448-454 |
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| container_title | Physics of metals and metallography |
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| creator | Voskoboinikov, R. E. |
| description | A Fourier-transform-based method for the calculation of stresses produced by dislocations in multilayer materials is proposed. In order to illustrate the approach proposed, the components of the stress tensor of a screw dislocation in a solid with a coating have been calculated and the equilibrium position of the dislocation near the interface has been determined. It is demonstrated that the ratio α =
a
/
l
of the equilibrium position
a
of the dislocation to the coating thickness
l
is asymptotically proportional to the ratio
q
= μ
1
/μ
2
of the shear moduli of the coating and the substrate material. |
| doi_str_mv | 10.1134/S0031918X12050109 |
| format | Article |
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a
/
l
of the equilibrium position
a
of the dislocation to the coating thickness
l
is asymptotically proportional to the ratio
q
= μ
1
/μ
2
of the shear moduli of the coating and the substrate material.</description><identifier>ISSN: 0031-918X</identifier><identifier>EISSN: 1555-6190</identifier><identifier>DOI: 10.1134/S0031918X12050109</identifier><language>eng</language><publisher>Dordrecht: SP MAIK Nauka/Interperiodica</publisher><subject>Asymptotic properties ; Chemistry and Materials Science ; Coating ; Coatings ; Dislocations ; Materials Science ; Mathematical analysis ; Metallic Materials ; Metallography ; Multilayers ; Screw dislocations ; Stress tensors ; Theory of Metals</subject><ispartof>Physics of metals and metallography, 2012-05, Vol.113 (5), p.448-454</ispartof><rights>Pleiades Publishing, Ltd. 2012</rights><rights>COPYRIGHT 2012 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c388t-1d9a030b2bd86e0157357f68346443155eb604e02b743c14bc7c1d9569fc518a3</citedby><cites>FETCH-LOGICAL-c388t-1d9a030b2bd86e0157357f68346443155eb604e02b743c14bc7c1d9569fc518a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0031918X12050109$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0031918X12050109$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51298</link.rule.ids></links><search><creatorcontrib>Voskoboinikov, R. E.</creatorcontrib><title>Equilibrium of a screw dislocation near the interface in a coated solid</title><title>Physics of metals and metallography</title><addtitle>Phys. Metals Metallogr</addtitle><description>A Fourier-transform-based method for the calculation of stresses produced by dislocations in multilayer materials is proposed. In order to illustrate the approach proposed, the components of the stress tensor of a screw dislocation in a solid with a coating have been calculated and the equilibrium position of the dislocation near the interface has been determined. It is demonstrated that the ratio α =
a
/
l
of the equilibrium position
a
of the dislocation to the coating thickness
l
is asymptotically proportional to the ratio
q
= μ
1
/μ
2
of the shear moduli of the coating and the substrate material.</description><subject>Asymptotic properties</subject><subject>Chemistry and Materials Science</subject><subject>Coating</subject><subject>Coatings</subject><subject>Dislocations</subject><subject>Materials Science</subject><subject>Mathematical analysis</subject><subject>Metallic Materials</subject><subject>Metallography</subject><subject>Multilayers</subject><subject>Screw dislocations</subject><subject>Stress tensors</subject><subject>Theory of Metals</subject><issn>0031-918X</issn><issn>1555-6190</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kU1LxDAQhoMouK7-AG8FL166zjQfbY-L6CoseFDBW0nT6RrpNm7SIv57U9aDKJJDwszzDG8Yxs4RFohcXD0CcCyxeMEMJCCUB2yGUspUYQmHbDa106l_zE5CeAMQQig-Y6ub3Wg7W3s7bhPXJjoJxtNH0tjQOaMH6_qkJ-2T4ZUS2w_kW22mVySN0wM1SXCdbU7ZUau7QGff95w93948Xd-l64fV_fVynRpeFEOKTamBQ53VTaEIUOZc5q0quFBC8BiYagWCIKtzwQ2K2uQmOlKVrZFYaD5nl_u5797tRgpDtbXBUNfpntwYKoQiy-LnMIvoxS_0zY2-j-kihVJxIQqI1GJPbXRHle1bN3ht4mloa43rqbWxvuQK8lIJNQm4F4x3IXhqq3dvt9p_xqnVtIvqzy6ik-2dENl-Q_5nlP-kL0p9iCQ</recordid><startdate>20120501</startdate><enddate>20120501</enddate><creator>Voskoboinikov, R. 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E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Equilibrium of a screw dislocation near the interface in a coated solid</atitle><jtitle>Physics of metals and metallography</jtitle><stitle>Phys. Metals Metallogr</stitle><date>2012-05-01</date><risdate>2012</risdate><volume>113</volume><issue>5</issue><spage>448</spage><epage>454</epage><pages>448-454</pages><issn>0031-918X</issn><eissn>1555-6190</eissn><abstract>A Fourier-transform-based method for the calculation of stresses produced by dislocations in multilayer materials is proposed. In order to illustrate the approach proposed, the components of the stress tensor of a screw dislocation in a solid with a coating have been calculated and the equilibrium position of the dislocation near the interface has been determined. It is demonstrated that the ratio α =
a
/
l
of the equilibrium position
a
of the dislocation to the coating thickness
l
is asymptotically proportional to the ratio
q
= μ
1
/μ
2
of the shear moduli of the coating and the substrate material.</abstract><cop>Dordrecht</cop><pub>SP MAIK Nauka/Interperiodica</pub><doi>10.1134/S0031918X12050109</doi><tpages>7</tpages></addata></record> |
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| identifier | ISSN: 0031-918X |
| ispartof | Physics of metals and metallography, 2012-05, Vol.113 (5), p.448-454 |
| issn | 0031-918X 1555-6190 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1082204412 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Asymptotic properties Chemistry and Materials Science Coating Coatings Dislocations Materials Science Mathematical analysis Metallic Materials Metallography Multilayers Screw dislocations Stress tensors Theory of Metals |
| title | Equilibrium of a screw dislocation near the interface in a coated solid |
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