SOLUTION OF A MULTIPLE CRACK PROBLEM UNDER THE INFLUENCE OF A LINEAR STRESS DISTRIBUTION AND COALESCED YIELD ZONES
In this paper, a novel modified strip yield model is proposed to evaluate the load-bearing capacity of an infinite isotropic plate containing five collinear straight cracks with coalesced yield zones. It is assumed that these yield zones are subjected to a linearly varying yield stress. The well-kno...
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| Vydané v: | Journal of applied mechanics and technical physics Ročník 64; číslo 1; s. 118 - 130 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Moscow
Pleiades Publishing
01.02.2023
Springer Nature B.V |
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| ISSN: | 0021-8944, 1573-8620 |
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| Abstract | In this paper, a novel modified strip yield model is proposed to evaluate the load-bearing capacity of an infinite isotropic plate containing five collinear straight cracks with coalesced yield zones. It is assumed that these yield zones are subjected to a linearly varying yield stress. The well-known complex variable method is used. To assess the results, numerical studies are carried out for different cracks lengths. Good agreement of the results obtained is observed with previously published data. |
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| AbstractList | In this paper, a novel modified strip yield model is proposed to evaluate the load-bearing capacity of an infinite isotropic plate containing five collinear straight cracks with coalesced yield zones. It is assumed that these yield zones are subjected to a linearly varying yield stress. The well-known complex variable method is used. To assess the results, numerical studies are carried out for different cracks lengths. Good agreement of the results obtained is observed with previously published data. |
| Author | Hasan, S. Akhtar, N. Shekhar, S. |
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| Cites_doi | 10.1016/0013-7944(83)90048-6 10.1016/S0013-7944(00)00086-2 10.1007/s13369-013-0763-2 10.1115/1.2812386 10.1016/0013-7944(78)90035-8 10.3233/SFC-160189 10.1016/S0013-7944(99)00139-3 10.1115/1.801535 10.1016/0020-7225(70)90016-9 10.1016/j.tafmec.2015.04.002 10.1002/nme.1620170308 10.1016/0022-5096(60)90013-2 10.3934/matersci.2017.2.302 10.1016/j.mechrescom.2020.103584 |
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| Keywords | multi-site damage load-bearing capacity stress intensity factor Dugdale model crack-tip opening displacement |
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| References | Tada, Paris, Erwin (CR14) 2000 Akhtar, Hasan (CR11) 2017; 4 Collins, Cartwright (CR6) 2001; 68 Hasan, Akhtar (CR7) 2015; 78 Dugdale (CR2) 1960; 8 Elangovan, Ramamurthy, Dattaguru, Selladurai (CR9) 2014; 39 Kanninen (CR3) 1970; 8 Feng, Gross (CR15) 2000; 65 Hasan, Akhtar (CR8) 2015; 9 Gdoutos (CR13) 2005 Theocaris (CR5) 1983; 18 Nishimura (CR12) 1999; 121 Xu, Xie (CR10) 2020; 109 Blandford, Ingraffea, Liggett (CR1) 1981; 17 Harrop (CR4) 1978; 10 Z. Xu (1292_CR10) 2020; 109 P.S. Theocaris (1292_CR5) 1983; 18 Xi-Qiao Feng (1292_CR15) 2000; 65 M.F. Kanninen (1292_CR3) 1970; 8 S. Hasan (1292_CR8) 2015; 9 T. Nishimura (1292_CR12) 1999; 121 H. Tada (1292_CR14) 2000 S. Hasan (1292_CR7) 2015; 78 George E. Blandford (1292_CR1) 1981; 17 E.E. Gdoutos (1292_CR13) 2005 L.P. Harrop (1292_CR4) 1978; 10 Donald S. Dugdale (1292_CR2) 1960; 8 R.A. Collins (1292_CR6) 2001; 68 R. Elangovan (1292_CR9) 2014; 39 N. Akhtar (1292_CR11) 2017; 4 |
| References_xml | – volume: 18 start-page: 545 year: 1983 end-page: 559 ident: CR5 article-title: Dugdale models for two collinear unequal cracks publication-title: Engineering Fracture Mechanics doi: 10.1016/0013-7944(83)90048-6 – volume: 68 start-page: 915 year: 2001 end-page: 924 ident: CR6 article-title: An analytical solution for two equal-length collinear strip yield cracks publication-title: Engineering Fracture Mechanics doi: 10.1016/S0013-7944(00)00086-2 – volume: 39 start-page: 2271 year: 2014 end-page: 2276 ident: CR9 article-title: Analytical Determination of Residual Strength and Linkup Strength for Flat Panels, with Multiple Site Damage publication-title: Arabian Journal for Science and Engineering doi: 10.1007/s13369-013-0763-2 – volume: 121 start-page: 352 year: 1999 end-page: 359 ident: CR12 article-title: Strip Yield Analysis on Coalescence of Plastic Zones for Multiple Cracks in a Riveted Stiffened Sheet publication-title: Journal of Engineering Materials and Technology doi: 10.1115/1.2812386 – year: 2005 ident: CR13 publication-title: Fracture Mechanics: An Introduction – volume: 10 start-page: 807 year: 1978 end-page: 816 ident: CR4 article-title: Application of a modified Dugdale model to the K vs COD relation publication-title: Engineering Fracture Mechanics doi: 10.1016/0013-7944(78)90035-8 – volume: 9 start-page: 211 year: 2015 end-page: 232 ident: CR8 article-title: Mathematical model for three equal collinear straight cracks: A modified Dugdale approach publication-title: Strength, Fracture and Complexity doi: 10.3233/SFC-160189 – volume: 65 start-page: 511 year: 2000 end-page: 524 ident: CR15 article-title: On the coalescence of collinear cracks in quasi-brittle materials publication-title: Engineering Fracture Mechanics doi: 10.1016/S0013-7944(99)00139-3 – year: 2000 ident: CR14 publication-title: The Stress Analysis of Cracks Handbook doi: 10.1115/1.801535 – volume: 8 start-page: 85 year: 1970 end-page: 95 ident: CR3 article-title: A solution for a Dugdale crack subjected to a linearly varying tensile loading publication-title: International Journal of Engineering Science doi: 10.1016/0020-7225(70)90016-9 – volume: 78 start-page: 40 year: 2015 end-page: 50 ident: CR7 article-title: Dugdale model for three equal collinear straight cracks: An analytical approach publication-title: Theoretical and Applied Fracture Mechanics doi: 10.1016/j.tafmec.2015.04.002 – volume: 17 start-page: 387 year: 1981 end-page: 404 ident: CR1 article-title: Two-dimensional stress intensity factor computations using the boundary element method publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1620170308 – volume: 8 start-page: 100 year: 1960 end-page: 104 ident: CR2 article-title: Yielding of steel sheets containing slits publication-title: Journal of the Mechanics and Physics of Solids doi: 10.1016/0022-5096(60)90013-2 – volume: 4 start-page: 302 year: 2017 end-page: 316 ident: CR11 article-title: Assessment of the interaction between three collinear unequal straight cracks with unified yield zones publication-title: AIMS Materials Science doi: 10.3934/matersci.2017.2.302 – volume: 109 start-page: 1 year: 2020 end-page: 5 ident: CR10 article-title: A Modified Residual Strength Prediction Method for Aluminum Alloy Plates with MSD publication-title: Mech. 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| SubjectTerms | Applications of Mathematics Boundary conditions Classical and Continuum Physics Classical Mechanics Complex variables Cracks Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Mechanical Engineering Physics Physics and Astronomy Propagation Stress distribution Stress state Yield stress |
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| Title | SOLUTION OF A MULTIPLE CRACK PROBLEM UNDER THE INFLUENCE OF A LINEAR STRESS DISTRIBUTION AND COALESCED YIELD ZONES |
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