In-plane stress analysis of two nanoscale holes under surface tension
Studied in this paper is the surface tension-induced stress field around two nanoscale holes in an infinite, elastic matrix. The complex variable method is adopted to describe the assumed plane-strain deformation of the structure. The stress boundary conditions at the surfaces of the holes are formu...
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| Veröffentlicht in: | Archive of applied mechanics (1991) 2020-06, Vol.90 (6), p.1363-1372 |
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| container_title | Archive of applied mechanics (1991) |
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| creator | Wang, Shuang Yang, Hai-Bing Gao, Cunfa Chen, Zengtao |
| description | Studied in this paper is the surface tension-induced stress field around two nanoscale holes in an infinite, elastic matrix. The complex variable method is adopted to describe the assumed plane-strain deformation of the structure. The stress boundary conditions at the surfaces of the holes are formulated via the integral-type Gurtin–Murdoch model. The stress field is finally obtained with the aid of conformal mapping and series expansion methods. Numerical examples are demonstrated for the case of one approximately triangular, smooth hole and one approximately square, smooth hole. A detailed discussion is carried out about the influence of the distance between the two holes on the stress field. |
| doi_str_mv | 10.1007/s00419-020-01672-9 |
| format | Article |
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The complex variable method is adopted to describe the assumed plane-strain deformation of the structure. The stress boundary conditions at the surfaces of the holes are formulated via the integral-type Gurtin–Murdoch model. The stress field is finally obtained with the aid of conformal mapping and series expansion methods. Numerical examples are demonstrated for the case of one approximately triangular, smooth hole and one approximately square, smooth hole. 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A detailed discussion is carried out about the influence of the distance between the two holes on the stress field.</description><subject>Approximation</subject><subject>Boundary conditions</subject><subject>Classical Mechanics</subject><subject>Complex variables</subject><subject>Conformal mapping</subject><subject>Engineering</subject><subject>Numerical methods</subject><subject>Original</subject><subject>Plane strain</subject><subject>Plane stress</subject><subject>Series expansion</subject><subject>Stress analysis</subject><subject>Stress distribution</subject><subject>Surface tension</subject><subject>Theoretical and Applied Mechanics</subject><issn>0939-1533</issn><issn>1432-0681</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kEFLAzEQRoMoWKt_wFPAc3SS7G6ao5SqhYIXPYfsbFZb1qRmdpH-e7eu4M3TXN77GB5j1xJuJYC5I4BCWgEKBMjKKGFP2EwWWgmoFvKUzcBqK2Sp9Tm7INrByJcKZmy1jmLf-Rg49TkQcR99d6At8dTy_ivx6GMi9F3g76kLxIfYhMxpyK3HwPsQaZviJTtrfUfh6vfO2evD6mX5JDbPj-vl_UaglrYXaLFEr0xjbKmVR9k0WCMsag-NRlVJKytfVK1BqI3VpW8sSoOojDK6LlHP2c20u8_pcwjUu10a8vgxOaVtaSoNlR0pNVGYE1EOrdvn7YfPByfBHXO5KZcbc7mfXO4o6UmiEY5vIf9N_2N9A9XYbXQ</recordid><startdate>20200601</startdate><enddate>20200601</enddate><creator>Wang, Shuang</creator><creator>Yang, Hai-Bing</creator><creator>Gao, Cunfa</creator><creator>Chen, Zengtao</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-0106-9638</orcidid></search><sort><creationdate>20200601</creationdate><title>In-plane stress analysis of two nanoscale holes under surface tension</title><author>Wang, Shuang ; Yang, Hai-Bing ; Gao, Cunfa ; Chen, Zengtao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-c9c5ca27d79532ac1ddcbc08ba0d3c261916a46f7c0b7935ad9c17cc27273b5c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Approximation</topic><topic>Boundary conditions</topic><topic>Classical Mechanics</topic><topic>Complex variables</topic><topic>Conformal mapping</topic><topic>Engineering</topic><topic>Numerical methods</topic><topic>Original</topic><topic>Plane strain</topic><topic>Plane stress</topic><topic>Series expansion</topic><topic>Stress analysis</topic><topic>Stress distribution</topic><topic>Surface tension</topic><topic>Theoretical and Applied Mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Shuang</creatorcontrib><creatorcontrib>Yang, Hai-Bing</creatorcontrib><creatorcontrib>Gao, Cunfa</creatorcontrib><creatorcontrib>Chen, Zengtao</creatorcontrib><collection>CrossRef</collection><jtitle>Archive of applied mechanics (1991)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Shuang</au><au>Yang, Hai-Bing</au><au>Gao, Cunfa</au><au>Chen, Zengtao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>In-plane stress analysis of two nanoscale holes under surface tension</atitle><jtitle>Archive of applied mechanics (1991)</jtitle><stitle>Arch Appl Mech</stitle><date>2020-06-01</date><risdate>2020</risdate><volume>90</volume><issue>6</issue><spage>1363</spage><epage>1372</epage><pages>1363-1372</pages><issn>0939-1533</issn><eissn>1432-0681</eissn><abstract>Studied in this paper is the surface tension-induced stress field around two nanoscale holes in an infinite, elastic matrix. 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| issn | 0939-1533 1432-0681 |
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| subjects | Approximation Boundary conditions Classical Mechanics Complex variables Conformal mapping Engineering Numerical methods Original Plane strain Plane stress Series expansion Stress analysis Stress distribution Surface tension Theoretical and Applied Mechanics |
| title | In-plane stress analysis of two nanoscale holes under surface tension |
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