Dynamic behavior of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips
The dynamic interaction of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips subjected to the anti-plane shear harmonic stress waves was investigated. By using the Fourier transform, the problem can be solved with the help of a pair...
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Veröffentlicht in: | Applied mathematics and mechanics 2007-05, Vol.28 (5), p.615-625 |
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creator | 张培伟 周振功 王彪 |
description | The dynamic interaction of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips subjected to the anti-plane shear harmonic stress waves was investigated. By using the Fourier transform, the problem can be solved with the help of a pair of triple integral equations in which the unknown variable is jump of displacement across the crack surfaces. These equations are solved using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter, the circular frequency of the incident waves and the thickness of the strip upon stress, electric displacement and magnetic flux intensity factors of cracks. |
doi_str_mv | 10.1007/s10483-007-0507-1 |
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By using the Fourier transform, the problem can be solved with the help of a pair of triple integral equations in which the unknown variable is jump of displacement across the crack surfaces. These equations are solved using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter, the circular frequency of the incident waves and the thickness of the strip upon stress, electric displacement and magnetic flux intensity factors of cracks.</description><identifier>ISSN: 0253-4827</identifier><identifier>EISSN: 1573-2754</identifier><identifier>DOI: 10.1007/s10483-007-0507-1</identifier><language>eng</language><publisher>Center for Composite Materials and Structures,Harbin Institute of Technology, Harbin 150080,P.R.China%School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, P.R. 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Numerical examples are provided to show the effect of the functionally graded parameter, the circular frequency of the incident waves and the thickness of the strip upon stress, electric displacement and magnetic flux intensity factors of cracks.</description><subject>Cracks</subject><subject>Dissimilar materials</subject><subject>Dynamics</subject><subject>Functionally gradient materials</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Piezoelectricity</subject><subject>Strip</subject><subject>共线型界面裂纹</subject><subject>功能梯度材料</subject><subject>动力学行为</subject><subject>压电/压磁带材</subject><issn>0253-4827</issn><issn>1573-2754</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNotkc9uEzEQxi0EEqH0AbituCAhLfW_jbdHVFpAqsSFnq2xPU5cvHZqb0i3b8Bb4zS92GP5NzOfvo-QD4x-YZSqi8qoHEXfyp4O7WCvyIoNSvRcDfI1WVE-iF6OXL0l72q9p5RKJeWK_Pu2JJiC7Qxu4W_Ipcu-mw-5sznGkBBKF9KMxYPFzhawf2pD5wNiesZcqDVMITbO75OdQ04Q49JtCjh03S7gU8aIdi7BXjy_JtgknNvGCdrcALGr7XNX35M3HmLF85f7jNzdXP---tHf_vr-8-rrbW-FuJx7MJxbAAtNPioPgIrhoKQzRkjOHHd-HLwTRirB0Cg1OuXo5RqVpWiEEWfk82nuAZKHtNH3eV-a6KqXpT5u46NG3mxsLlLV4E8neFfywx7rrKdQLcYICfO-6nEY1krQ9bqR7ETakmst6PWuhAnKohnVx4j0KSJ9LI8RadZ6Pr70bHPaPIQmxjSHfYiouZQDH6kU_wF-x5TU</recordid><startdate>20070501</startdate><enddate>20070501</enddate><creator>张培伟 周振功 王彪</creator><general>Center for Composite Materials and Structures,Harbin Institute of Technology, Harbin 150080,P.R.China%School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, P.R. 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By using the Fourier transform, the problem can be solved with the help of a pair of triple integral equations in which the unknown variable is jump of displacement across the crack surfaces. These equations are solved using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter, the circular frequency of the incident waves and the thickness of the strip upon stress, electric displacement and magnetic flux intensity factors of cracks.</abstract><pub>Center for Composite Materials and Structures,Harbin Institute of Technology, Harbin 150080,P.R.China%School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, P.R. China</pub><doi>10.1007/s10483-007-0507-1</doi><tpages>11</tpages></addata></record> |
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source | SpringerNature Journals; Alma/SFX Local Collection |
subjects | Cracks Dissimilar materials Dynamics Functionally gradient materials Mathematical analysis Mathematical models Piezoelectricity Strip 共线型界面裂纹 功能梯度材料 动力学行为 压电/压磁带材 |
title | Dynamic behavior of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips |
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