On the stress concentration around a hole in an infinite plate subject to a uniform load at infinity
In this paper stress concentration around a hole in an infinite plate that is subjected to a uniform load at infinity is considered. The stress is calculated by using a modified Muskhelishvili complex variable method. The method is illustrated by several examples of stress distribution around polygo...
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| Veröffentlicht in: | International journal of mechanical sciences Jg. 53; H. 4; S. 254 - 261 |
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| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Oxford
Elsevier Ltd
01.04.2011
Elsevier |
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| ISSN: | 0020-7403, 1879-2162 |
| Online-Zugang: | Volltext |
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| Abstract | In this paper stress concentration around a hole in an infinite plate that is subjected to a uniform load at infinity is considered. The stress is calculated by using a modified Muskhelishvili complex variable method. The method is illustrated by several examples of stress distribution around polygonal holes of a complex geometry utilizing the Schwartz–Chistoffel mapping function. |
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| AbstractList | In this paper stress concentration around a hole in an infinite plate that is subjected to a uniform load at infinity is considered. The stress is calculated by using a modified Muskhelishvili complex variable method. The method is illustrated by several examples of stress distribution around polygonal holes of a complex geometry utilizing the Schwartz–Chistoffel mapping function. |
| Author | Batista, Milan |
| Author_xml | – sequence: 1 givenname: Milan surname: Batista fullname: Batista, Milan email: milan.batista@fpp.uni-lj.si organization: University of Ljubljana, Faculty of Maritime Studies and Transport, EU, Slovenia |
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| Keywords | Stress concentration Muskhelishvili method Schwartz–Chistoffel mapping Plane elasticity Conformal mapping Uniform load Stress analysis Hole Infinite medium Mechanical properties Schwartz-Chistoffel mapping Conformal transformation Complex variable method |
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| References | Ugodchikov, Dlugach, Stepanov (bib11) 1970 Driscoll, Trefethen (bib2) 2002 Savin (bib10) 1961 Chao, Lu, Chen a, Chen (bib1) 2009; 46 Exadaktylosa, Stavropoulou (bib4) 2002; 39 Muskhelishvili (bib8) 1977 Huo, Bobet, Fernandez, Ramırez (bib6) 2006; 21 Milne-Thomson (bib7) 1960 Rezaeepazhand, Jafri (bib9) 2010; 52 England (bib3) 1971 Green, Zerna (bib5) 1968 England (10.1016/j.ijmecsci.2011.01.006_bib3) 1971 Green (10.1016/j.ijmecsci.2011.01.006_bib5) 1968 Rezaeepazhand (10.1016/j.ijmecsci.2011.01.006_bib9) 2010; 52 Driscoll (10.1016/j.ijmecsci.2011.01.006_bib2) 2002 Savin (10.1016/j.ijmecsci.2011.01.006_bib10) 1961 Chao (10.1016/j.ijmecsci.2011.01.006_bib1) 2009; 46 Huo (10.1016/j.ijmecsci.2011.01.006_bib6) 2006; 21 Milne-Thomson (10.1016/j.ijmecsci.2011.01.006_bib7) 1960 Muskhelishvili (10.1016/j.ijmecsci.2011.01.006_bib8) 1977 Ugodchikov (10.1016/j.ijmecsci.2011.01.006_bib11) 1970 Exadaktylosa (10.1016/j.ijmecsci.2011.01.006_bib4) 2002; 39 |
| References_xml | – volume: 39 start-page: 905 year: 2002 end-page: 916 ident: bib4 article-title: A closed-form elastic solution for stresses and displacements around tunnels publication-title: International Journal of Rock Mechanics & Mining Sciences – volume: 46 start-page: 2959 year: 2009 end-page: 2965 ident: bib1 article-title: Analytical solution for a reinforcement layer bonded to an elliptic hole under a remote uniform load publication-title: International Journal of Solids and Structures – year: 1961 ident: bib10 publication-title: Stress concentration around holes. – year: 1970 ident: bib11 publication-title: Solution of boundary problems of plane elasticity theory on digital and analog computers – year: 2002 ident: bib2 article-title: Schwartz–Christoffel mapping – year: 1971 ident: bib3 article-title: Complex variable methods in elasticity – year: 1968 ident: bib5 publication-title: Theoretical elasticity – volume: 52 start-page: 96 year: 2010 end-page: 102 ident: bib9 article-title: Stress concentration in metallic plates with special shaped cutout publication-title: International Journal of Mechanical Sciences – year: 1960 ident: bib7 article-title: Plane elastic system – year: 1977 ident: bib8 article-title: Some basic problems of the mathematical theory of elasticity – volume: 21 start-page: 613 year: 2006 end-page: 625 ident: bib6 article-title: Analytical solution for deep rectangular structures subjected publication-title: Tunnelling and Underground Space Technology – volume: 39 start-page: 905 year: 2002 ident: 10.1016/j.ijmecsci.2011.01.006_bib4 article-title: A closed-form elastic solution for stresses and displacements around tunnels publication-title: International Journal of Rock Mechanics & Mining Sciences – year: 1968 ident: 10.1016/j.ijmecsci.2011.01.006_bib5 – year: 2002 ident: 10.1016/j.ijmecsci.2011.01.006_bib2 – year: 1960 ident: 10.1016/j.ijmecsci.2011.01.006_bib7 – year: 1977 ident: 10.1016/j.ijmecsci.2011.01.006_bib8 – year: 1961 ident: 10.1016/j.ijmecsci.2011.01.006_bib10 – year: 1970 ident: 10.1016/j.ijmecsci.2011.01.006_bib11 – year: 1971 ident: 10.1016/j.ijmecsci.2011.01.006_bib3 – volume: 52 start-page: 96 issue: 1 year: 2010 ident: 10.1016/j.ijmecsci.2011.01.006_bib9 article-title: Stress concentration in metallic plates with special shaped cutout publication-title: International Journal of Mechanical Sciences – volume: 21 start-page: 613 year: 2006 ident: 10.1016/j.ijmecsci.2011.01.006_bib6 article-title: Analytical solution for deep rectangular structures subjected publication-title: Tunnelling and Underground Space Technology – volume: 46 start-page: 2959 year: 2009 ident: 10.1016/j.ijmecsci.2011.01.006_bib1 article-title: Analytical solution for a reinforcement layer bonded to an elliptic hole under a remote uniform load publication-title: International Journal of Solids and Structures |
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| SubjectTerms | Complex variables Conformal mapping Exact sciences and technology Fundamental areas of phenomenology (including applications) Infinity Mapping Mathematical analysis Muskhelishvili method Physics Plane elasticity Schwartz–Chistoffel mapping Solid mechanics Static elasticity (thermoelasticity...) Stress concentration Stress distribution Stresses Structural and continuum mechanics |
| Title | On the stress concentration around a hole in an infinite plate subject to a uniform load at infinity |
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