Reduction of the stress concentration around an elliptic hole by using a functionally graded layer
The aim of this paper is to study the problem of stress concentration in an infinite plate with an elliptic hole reinforced by a functionally graded layer based on the complex variable method combined with the technique of conformal mapping. With using the method of piece-wise homogeneous layers, th...
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| Veröffentlicht in: | Acta mechanica Jg. 227; H. 9; S. 2427 - 2437 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Vienna
Springer Vienna
01.09.2016
Springer Springer Nature B.V |
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| ISSN: | 0001-5970, 1619-6937 |
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| Abstract | The aim of this paper is to study the problem of stress concentration in an infinite plate with an elliptic hole reinforced by a functionally graded layer based on the complex variable method combined with the technique of conformal mapping. With using the method of piece-wise homogeneous layers, the general solution for the functionally graded layer having normal arbitrary elastic properties is derived when the plate is subjected to arbitrary constant loads at infinity, and then numerical results are presented for several special examples. It is found that the existence of the functionally graded layer can influence the stress distribution in the plate, and thus choosing proper variations of the normal elastic properties and proper thicknesses of the layer can effectively reduce the stress concentration around the elliptic hole. |
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| AbstractList | The aim of this paper is to study the problem of stress concentration in an infinite plate with an elliptic hole reinforced by a functionally graded layer based on the complex variable method combined with the technique of conformal mapping. With using the method of piece-wise homogeneous layers, the general solution for the functionally graded layer having normal arbitrary elastic properties is derived when the plate is subjected to arbitrary constant loads at infinity, and then numerical results are presented for several special examples. It is found that the existence of the functionally graded layer can influence the stress distribution in the plate, and thus choosing proper variations of the normal elastic properties and proper thicknesses of the layer can effectively reduce the stress concentration around the elliptic hole. |
| Audience | Academic |
| Author | Gao, Cun-Fa Yang, Quanquan |
| Author_xml | – sequence: 1 givenname: Quanquan surname: Yang fullname: Yang, Quanquan email: qqyang@hyit.edu.cn organization: Jiangsu Province Key Laboratory of Advanced Manufacturing Technology, Huaiyin Institute of Technology – sequence: 2 givenname: Cun-Fa surname: Gao fullname: Gao, Cun-Fa organization: State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics |
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| CitedBy_id | crossref_primary_10_1016_j_compstruct_2018_08_078 crossref_primary_10_1007_s12008_019_00607_1 crossref_primary_10_1016_j_camss_2017_07_002 crossref_primary_10_3390_app10072231 crossref_primary_10_1016_j_tws_2019_106223 crossref_primary_10_1016_j_petrol_2021_109437 crossref_primary_10_1007_s00707_017_1974_5 crossref_primary_10_3390_app8122619 crossref_primary_10_1080_15376494_2024_2328758 crossref_primary_10_1016_j_engstruct_2021_112160 crossref_primary_10_1016_j_compstruc_2024_107469 crossref_primary_10_1080_15376494_2024_2320813 crossref_primary_10_1557_jmr_2018_366 crossref_primary_10_3233_SFC_190232 crossref_primary_10_1080_15397734_2025_2477671 crossref_primary_10_3390_ma14247845 crossref_primary_10_1002_zamm_201700371 crossref_primary_10_1016_j_matdes_2018_05_047 crossref_primary_10_1016_j_ijpvp_2021_104402 crossref_primary_10_3390_ma12030422 crossref_primary_10_1016_j_ijmecsci_2018_12_055 crossref_primary_10_1080_15376494_2023_2245830 crossref_primary_10_3233_SFC_210273 crossref_primary_10_1007_s00707_017_1907_3 crossref_primary_10_1108_MMMS_04_2022_0070 |
| Cites_doi | 10.1007/s11433-012-4774-x 10.1007/s00707-013-0901-7 10.1016/j.ijmecsci.2007.11.009 10.1016/j.ijsolstr.2010.10.013 10.1007/s00158-003-0293-8 10.1016/j.compositesb.2014.01.036 10.1080/01495731003656923 10.1016/j.ijsolstr.2009.03.025 10.1016/j.ijsolstr.2008.08.011 10.1016/j.euromechsol.2013.07.009 10.1007/s00707-014-1270-6 10.1007/s10659-013-9434-5 10.1080/01495730801978547 10.1016/S0266-3538(02)00049-0 10.1080/713855900 10.1080/014957390967929 10.1007/s00419-009-0349-3 10.1007/s00158-002-0268-1 10.1016/j.ijsolstr.2013.07.007 |
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| Keywords | Uniaxial Tension Circular Hole Stress Concentration Stress Concentration Factor Hoop Stress |
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| SubjectTerms | Classical and Continuum Physics Complex variables Constants Control Dynamical Systems Elastic constants Elasticity Engineering Engineering Thermodynamics Functionally gradient materials Heat and Mass Transfer Infinity Mathematical models Original Paper Shear stress Solid Mechanics Stress concentration Stress distribution Studies Theoretical and Applied Mechanics Vibration |
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| Title | Reduction of the stress concentration around an elliptic hole by using a functionally graded layer |
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