Stress concentration on the contour of a plate opening of an arbitrary corner radius of curvature
Само за регистроване кориснике
1997
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
Nowadays the title problem is usually dealt with using the finite element method (FEM). However, due to a high stress gradient an extremely fine mesh is needed in the vicinity of the contour, and even then the results obtained are of a questionable accuracy in the zones with a small radius of curvature (corners of rectangular openings). In this paper, a different - analytical -approach to the problem was applied by using Muskhelishvilli's solutions based on conformal mapping. Involving functions of a complex variable - and so being very complicated - these solutions were practically applicable for a narrow corner-radius-of-curvature spectrum only. However, after an adequate transformation and reduction to a programmable algorithm, they allowed systematic analyses for an arbitrary small corner radius of the contour and thus a more accurate formulation of its influence on the stress concentration factor (SCF) in a convenient manner.
Кључне речи:
Stress concentration factor / Plate opening / Hole corner radius of curvature / Conformal mappingИзвор:
Marine Structures, 1997, 10, 1, 1-12Издавач:
- Elsevier BV
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Motok, Milorad PY - 1997 UR - https://machinery.mas.bg.ac.rs/handle/123456789/148 AB - Nowadays the title problem is usually dealt with using the finite element method (FEM). However, due to a high stress gradient an extremely fine mesh is needed in the vicinity of the contour, and even then the results obtained are of a questionable accuracy in the zones with a small radius of curvature (corners of rectangular openings). In this paper, a different - analytical -approach to the problem was applied by using Muskhelishvilli's solutions based on conformal mapping. Involving functions of a complex variable - and so being very complicated - these solutions were practically applicable for a narrow corner-radius-of-curvature spectrum only. However, after an adequate transformation and reduction to a programmable algorithm, they allowed systematic analyses for an arbitrary small corner radius of the contour and thus a more accurate formulation of its influence on the stress concentration factor (SCF) in a convenient manner. PB - Elsevier BV T2 - Marine Structures T1 - Stress concentration on the contour of a plate opening of an arbitrary corner radius of curvature EP - 12 IS - 1 SP - 1 VL - 10 DO - 10.1016/s0951-8339(96)00012-3 ER -
@article{ author = "Motok, Milorad", year = "1997", abstract = "Nowadays the title problem is usually dealt with using the finite element method (FEM). However, due to a high stress gradient an extremely fine mesh is needed in the vicinity of the contour, and even then the results obtained are of a questionable accuracy in the zones with a small radius of curvature (corners of rectangular openings). In this paper, a different - analytical -approach to the problem was applied by using Muskhelishvilli's solutions based on conformal mapping. Involving functions of a complex variable - and so being very complicated - these solutions were practically applicable for a narrow corner-radius-of-curvature spectrum only. However, after an adequate transformation and reduction to a programmable algorithm, they allowed systematic analyses for an arbitrary small corner radius of the contour and thus a more accurate formulation of its influence on the stress concentration factor (SCF) in a convenient manner.", publisher = "Elsevier BV", journal = "Marine Structures", title = "Stress concentration on the contour of a plate opening of an arbitrary corner radius of curvature", pages = "12-1", number = "1", volume = "10", doi = "10.1016/s0951-8339(96)00012-3" }
Motok, M.. (1997). Stress concentration on the contour of a plate opening of an arbitrary corner radius of curvature. in Marine Structures Elsevier BV., 10(1), 1-12. https://doi.org/10.1016/s0951-8339(96)00012-3
Motok M. Stress concentration on the contour of a plate opening of an arbitrary corner radius of curvature. in Marine Structures. 1997;10(1):1-12. doi:10.1016/s0951-8339(96)00012-3 .
Motok, Milorad, "Stress concentration on the contour of a plate opening of an arbitrary corner radius of curvature" in Marine Structures, 10, no. 1 (1997):1-12, https://doi.org/10.1016/s0951-8339(96)00012-3 . .