SCATTERING OF THE HARMONIC STRESS WAVE BY CRACKS IN FUNCTIONALLY GRADED PIEZOELECTRIC MATERIALS
The present paper considers the scattering of the time harmonic stress wave by a single crack and two collinear cracks in functionally graded piezoelectric material (FGPM). It is assumed that the properties of the FGPM vary continuously as an exponential function. By using the Fourier transform and...
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Veröffentlicht in: | Acta mechanica solida Sinica 2005-12, Vol.18 (4), p.295-301 |
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creator | Ma Li Nie Wu Wu Linzhi Zhou Zhengong |
description | The present paper considers the scattering of the time harmonic stress wave by a single crack and two collinear cracks in functionally graded piezoelectric material (FGPM). It is assumed that the properties of the FGPM vary continuously as an exponential function. By using the Fourier transform and defining the jumps of displacements and electric potential components across the crack surface as the unknown functions, two pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of the displacement and electric potential components across the crack surface are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the influences of material properties on the dynamic stress and the electric displacement intensity factors. |
doi_str_mv | 10.1007/s10338-005-0537-9 |
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It is assumed that the properties of the FGPM vary continuously as an exponential function. By using the Fourier transform and defining the jumps of displacements and electric potential components across the crack surface as the unknown functions, two pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of the displacement and electric potential components across the crack surface are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the influences of material properties on the dynamic stress and the electric displacement intensity factors.</description><identifier>ISSN: 0894-9166</identifier><identifier>EISSN: 1860-2134</identifier><identifier>DOI: 10.1007/s10338-005-0537-9</identifier><language>eng</language><publisher>School of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China</publisher><subject>固体力学 ; 官能分级压电材料 ; 应力强度因素 ; 应力波</subject><ispartof>Acta mechanica solida Sinica, 2005-12, Vol.18 (4), p.295-301</ispartof><rights>Copyright © Wanfang Data Co. Ltd. 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By using the Fourier transform and defining the jumps of displacements and electric potential components across the crack surface as the unknown functions, two pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of the displacement and electric potential components across the crack surface are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the influences of material properties on the dynamic stress and the electric displacement intensity factors.</description><subject>固体力学</subject><subject>官能分级压电材料</subject><subject>应力强度因素</subject><subject>应力波</subject><issn>0894-9166</issn><issn>1860-2134</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNotkEFPwjAcxRujiYh-AG-NNw_Vf9u16461Flgcm9mGBi9LGR2CZESHkY_vDJ7e5ffey3sIXVO4owDhfUeBc0UABAHBQxKdoAFVEgijPDhFA1BRQCIq5Tm66LoNAAOu2ABVhdFlafM4HeNshMuJxROdT7M0Nrgoc1sU-FW_WPwwxybX5qnAcYpHs9SUcZbqJJnjca4f7SN-ju1bZhNryry3TvVfpk6KS3TWuG3nr_51iGYjW5oJSbJxbHRCakblnngmROMFU1K5RkhOF1QuhQ-FiALwQgnBvKc1NCoMwfnauaUTS-HoApiAUPIhuj3m_ri2ce2q2uy-v9q-sVrtt4fDovKs_waCfnjP3hzZ-n3Xrj7XPb1w9Uez3vqKQaQEk5z_ArlrWuo</recordid><startdate>20051201</startdate><enddate>20051201</enddate><creator>Ma Li Nie Wu Wu Linzhi Zhou Zhengong</creator><general>School of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China</general><general>Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, China%School of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China%Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20051201</creationdate><title>SCATTERING OF THE HARMONIC STRESS WAVE BY CRACKS IN FUNCTIONALLY GRADED PIEZOELECTRIC MATERIALS</title><author>Ma Li Nie Wu Wu Linzhi Zhou Zhengong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c216t-e255fe52868af5631b16d5e755940e58552ee1c0f8770aecaada5d5a1b0250763</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>固体力学</topic><topic>官能分级压电材料</topic><topic>应力强度因素</topic><topic>应力波</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ma Li Nie Wu Wu Linzhi Zhou Zhengong</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><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Acta mechanica solida Sinica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ma Li Nie Wu Wu Linzhi Zhou Zhengong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>SCATTERING OF THE HARMONIC STRESS WAVE BY CRACKS IN FUNCTIONALLY GRADED PIEZOELECTRIC MATERIALS</atitle><jtitle>Acta mechanica solida Sinica</jtitle><addtitle>Acta Mechanica Solida Sinica</addtitle><date>2005-12-01</date><risdate>2005</risdate><volume>18</volume><issue>4</issue><spage>295</spage><epage>301</epage><pages>295-301</pages><issn>0894-9166</issn><eissn>1860-2134</eissn><abstract>The present paper considers the scattering of the time harmonic stress wave by a single crack and two collinear cracks in functionally graded piezoelectric material (FGPM). It is assumed that the properties of the FGPM vary continuously as an exponential function. By using the Fourier transform and defining the jumps of displacements and electric potential components across the crack surface as the unknown functions, two pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of the displacement and electric potential components across the crack surface are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the influences of material properties on the dynamic stress and the electric displacement intensity factors.</abstract><pub>School of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China</pub><doi>10.1007/s10338-005-0537-9</doi><tpages>7</tpages></addata></record> |
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subjects | 固体力学 官能分级压电材料 应力强度因素 应力波 |
title | SCATTERING OF THE HARMONIC STRESS WAVE BY CRACKS IN FUNCTIONALLY GRADED PIEZOELECTRIC MATERIALS |
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