Stress concentration in a finite functionally graded material plate
This paper is to study the two-dimensional stress distribution of a finite functionally graded material （FGM） plate with a circu- lar hole under arbitrary constant loads. Using the method of piece-wise homogeneous layers, the stress analysis of the finite FGM plate having radial arbitrary elastic pr...
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| Veröffentlicht in: | Science China. Physics, mechanics & astronomy mechanics & astronomy, 2012-07, Vol.55 (7), p.1263-1271 |
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| container_title | Science China. Physics, mechanics & astronomy |
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| creator | Yang, QuanQuan Gao, CunFa Chen, WenTao |
| description | This paper is to study the two-dimensional stress distribution of a finite functionally graded material （FGM） plate with a circu- lar hole under arbitrary constant loads. Using the method of piece-wise homogeneous layers, the stress analysis of the finite FGM plate having radial arbitrary elastic properties is made based on the complex variable method combined with the least square boundary collocation technique. Numerical results of stress distribution around the hole are then presented for different loading conditions, different material properties and different plate sizes, respectively. It is shown that the stress concentration in the finite plate is generally enhanced compared with the case of an infinite plate, but it can be significantly reduced by choosing proper change ways of the radial elastic modulus. |
| doi_str_mv | 10.1007/s11433-012-4774-x |
| format | Article |
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Using the method of piece-wise homogeneous layers, the stress analysis of the finite FGM plate having radial arbitrary elastic properties is made based on the complex variable method combined with the least square boundary collocation technique. Numerical results of stress distribution around the hole are then presented for different loading conditions, different material properties and different plate sizes, respectively. It is shown that the stress concentration in the finite plate is generally enhanced compared with the case of an infinite plate, but it can be significantly reduced by choosing proper change ways of the radial elastic modulus.</description><identifier>ISSN: 1674-7348</identifier><identifier>EISSN: 1869-1927</identifier><identifier>DOI: 10.1007/s11433-012-4774-x</identifier><language>eng</language><publisher>Heidelberg: SP Science China Press</publisher><subject>Astronomy ; Boundaries ; Classical and Continuum Physics ; Complex variables ; Elastic properties ; Functionally gradient materials ; Indexing in process ; Least squares method ; Material properties ; Mathematical analysis ; Mathematical models ; Modulus of elasticity ; Observations and Techniques ; Physics ; Physics and Astronomy ; Stress analysis ; Stress concentration ; Stress distribution ; 功能梯度材料 ; 复变函数方法 ; 应力分布 ; 应力集中 ; 无限大板 ; 最小二乘 ; 负载条件 ; 配置技术</subject><ispartof>Science China. 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Physics, mechanics & astronomy</title><addtitle>Sci. China Phys. Mech. Astron</addtitle><addtitle>SCIENCE CHINA Physics, Mechanics ＆ Astronomy</addtitle><description>This paper is to study the two-dimensional stress distribution of a finite functionally graded material （FGM） plate with a circu- lar hole under arbitrary constant loads. Using the method of piece-wise homogeneous layers, the stress analysis of the finite FGM plate having radial arbitrary elastic properties is made based on the complex variable method combined with the least square boundary collocation technique. Numerical results of stress distribution around the hole are then presented for different loading conditions, different material properties and different plate sizes, respectively. It is shown that the stress concentration in the finite plate is generally enhanced compared with the case of an infinite plate, but it can be significantly reduced by choosing proper change ways of the radial elastic modulus.</description><subject>Astronomy</subject><subject>Boundaries</subject><subject>Classical and Continuum Physics</subject><subject>Complex variables</subject><subject>Elastic properties</subject><subject>Functionally gradient materials</subject><subject>Indexing in process</subject><subject>Least squares method</subject><subject>Material properties</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Modulus of elasticity</subject><subject>Observations and Techniques</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Stress analysis</subject><subject>Stress concentration</subject><subject>Stress distribution</subject><subject>功能梯度材料</subject><subject>复变函数方法</subject><subject>应力分布</subject><subject>应力集中</subject><subject>无限大板</subject><subject>最小二乘</subject><subject>负载条件</subject><subject>配置技术</subject><issn>1674-7348</issn><issn>1869-1927</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>eNqFUU1LAzEUXETBUvsDvEW8eFnN52ZzlOIXFDyo55DsvtQt22yb7EL7781SUfBgc8ljmJnHm8myS4JvCcbyLhLCGcsxoTmXkue7k2xCykLlRFF5muYigZLx8jybxbjC6TGFueSTbP7WB4gRVZ2vwPfB9E3nUeORQa7xTQ_IDb4aQdO2e7QMpoYarU0PoTEt2rRpusjOnGkjzL7_afbx-PA-f84Xr08v8_tFXnFO-hyIK8BgbJnDhljBCytKV2GhgFAm61paaYBZKJ2ljDNj68omQCplJeCaTbObg-8mdNsBYq_XTaygbY2Hbog6nUk4Z4Kr41RCBaVKCH6cigtFMSNydL3-Q111Q0jJRE1VClxQXJLEIgdWFboYAzi9Cc3ahH2y0mNf-tCXTn3psS-9Sxp60MTE9UsIv87_ia6-F312frlNup9NnLIUBRfsC3l6oso</recordid><startdate>20120701</startdate><enddate>20120701</enddate><creator>Yang, QuanQuan</creator><creator>Gao, CunFa</creator><creator>Chen, WenTao</creator><general>SP Science China Press</general><general>Springer Nature B.V</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope><scope>7TG</scope><scope>KL.</scope></search><sort><creationdate>20120701</creationdate><title>Stress concentration in a finite functionally graded material plate</title><author>Yang, QuanQuan ; 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Using the method of piece-wise homogeneous layers, the stress analysis of the finite FGM plate having radial arbitrary elastic properties is made based on the complex variable method combined with the least square boundary collocation technique. Numerical results of stress distribution around the hole are then presented for different loading conditions, different material properties and different plate sizes, respectively. It is shown that the stress concentration in the finite plate is generally enhanced compared with the case of an infinite plate, but it can be significantly reduced by choosing proper change ways of the radial elastic modulus.</abstract><cop>Heidelberg</cop><pub>SP Science China Press</pub><doi>10.1007/s11433-012-4774-x</doi><tpages>9</tpages></addata></record> |
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| subjects | Astronomy Boundaries Classical and Continuum Physics Complex variables Elastic properties Functionally gradient materials Indexing in process Least squares method Material properties Mathematical analysis Mathematical models Modulus of elasticity Observations and Techniques Physics Physics and Astronomy Stress analysis Stress concentration Stress distribution 功能梯度材料 复变函数方法 应力分布 应力集中 无限大板 最小二乘 负载条件 配置技术 |
| title | Stress concentration in a finite functionally graded material plate |
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