Logarithmic singularity at crack tips in piezoelectric media
The Lekniskii-and Stroh-formalism are often used to study the crack-tip sigularity ofa two-dimensional anisotropic material, such as purely elastic material and piezoelectricmedia. The present work investigates the logarithmic singularity at crack tips inpiezoelectricity. For a semi-infinite crack i...
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Veröffentlicht in: | 中国科学通报:英文版 1996 (7), p.563-566 |
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creator | 秦庆华 余寿文 |
description | The Lekniskii-and Stroh-formalism are often used to study the crack-tip sigularity ofa two-dimensional anisotropic material, such as purely elastic material and piezoelectricmedia. The present work investigates the logarithmic singularity at crack tips inpiezoelectricity. For a semi-infinite crack in an anisotropic piezoelectric media, it is shownthat both stresses and electric displacements at crack tips may be in the order of r-1/2, orr1/2lnr, r1/2ln2r, r-1/2ln3r, as r→0, where r is the distance from crack tip to field point, de-pending on which conditions are satisfied. |
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The present work investigates the logarithmic singularity at crack tips inpiezoelectricity. For a semi-infinite crack in an anisotropic piezoelectric media, it is shownthat both stresses and electric displacements at crack tips may be in the order of r-1/2, orr1/2lnr, r1/2ln2r, r-1/2ln3r, as r→0, where r is the distance from crack tip to field point, de-pending on which conditions are satisfied.</description><identifier>ISSN: 2095-9273</identifier><language>eng</language><subject>crack-tap ; field ; logarithmic ; piezoelectricity ; singularity</subject><ispartof>中国科学通报:英文版, 1996 (7), p.563-566</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/86894X/86894X.jpg</thumbnail><link.rule.ids>314,776,780,4010</link.rule.ids></links><search><creatorcontrib>秦庆华 余寿文</creatorcontrib><title>Logarithmic singularity at crack tips in piezoelectric media</title><title>中国科学通报:英文版</title><addtitle>Chinese Science Bulletin</addtitle><description>The Lekniskii-and Stroh-formalism are often used to study the crack-tip sigularity ofa two-dimensional anisotropic material, such as purely elastic material and piezoelectricmedia. The present work investigates the logarithmic singularity at crack tips inpiezoelectricity. For a semi-infinite crack in an anisotropic piezoelectric media, it is shownthat both stresses and electric displacements at crack tips may be in the order of r-1/2, orr1/2lnr, r1/2ln2r, r-1/2ln3r, as r→0, where r is the distance from crack tip to field point, de-pending on which conditions are satisfied.</description><subject>crack-tap</subject><subject>field</subject><subject>logarithmic</subject><subject>piezoelectricity</subject><subject>singularity</subject><issn>2095-9273</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><recordid>eNpjYeA0MrA01bU0MjfmYOAtLs4yMDAwNLE0MjEw52Sw8clPTyzKLMnIzUxWKM7MSy_NAXErFRJLFJKLEpOzFUoyC4oVMvMUCjJTq_JTc1KTS4qASnNTUzITeRhY0xJzilN5oTQ3g7Kba4izh25yRn5eeiHQtPiCoszcxKLKeBOgnYam5oZmpsbEqQIAbf43mg</recordid><startdate>1996</startdate><enddate>1996</enddate><creator>秦庆华 余寿文</creator><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope></search><sort><creationdate>1996</creationdate><title>Logarithmic singularity at crack tips in piezoelectric media</title><author>秦庆华 余寿文</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-chongqing_primary_40011571653</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>crack-tap</topic><topic>field</topic><topic>logarithmic</topic><topic>piezoelectricity</topic><topic>singularity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>秦庆华 余寿文</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><jtitle>中国科学通报:英文版</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>秦庆华 余寿文</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Logarithmic singularity at crack tips in piezoelectric media</atitle><jtitle>中国科学通报:英文版</jtitle><addtitle>Chinese Science Bulletin</addtitle><date>1996</date><risdate>1996</risdate><issue>7</issue><spage>563</spage><epage>566</epage><pages>563-566</pages><issn>2095-9273</issn><abstract>The Lekniskii-and Stroh-formalism are often used to study the crack-tip sigularity ofa two-dimensional anisotropic material, such as purely elastic material and piezoelectricmedia. The present work investigates the logarithmic singularity at crack tips inpiezoelectricity. For a semi-infinite crack in an anisotropic piezoelectric media, it is shownthat both stresses and electric displacements at crack tips may be in the order of r-1/2, orr1/2lnr, r1/2ln2r, r-1/2ln3r, as r→0, where r is the distance from crack tip to field point, de-pending on which conditions are satisfied.</abstract></addata></record> |
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subjects | crack-tap field logarithmic piezoelectricity singularity |
title | Logarithmic singularity at crack tips in piezoelectric media |
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