Contact problem for regular hexagon weakened with full-strength hole

doi:10.1007/s10483-013-1666-9

Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (2): 239-248.doi: https://doi.org/10.1007/s10483-013-1666-9

Contact problem for regular hexagon weakened with full-strength hole

N. ODISHELIDZE¹ F. CRIADO-ALDEANUEVA² J. M. SANCHEZ³

1. Department of Computer Sciences, Tbilisi State University, Tbilisi 10128, Georgia;
2. Department of Applied Physics II, Polytechnic School, Malaga University, Malaga 29071, Spain;
3. Department of Statistics and Operative Research, Malaga University, Malaga 29071, Spain

收稿日期:2011-11-28 修回日期:2012-09-11 出版日期:2013-02-03 发布日期:2013-01-22
通讯作者: F. CRIADO-ALDEANUEVA, Professor, Ph.D., E-mail: fcriado@uma.es E-mail:fcriado@uma.es

Contact problem for regular hexagon weakened with full-strength hole

N. ODISHELIDZE¹, F. CRIADO-ALDEANUEVA², J. M. SANCHEZ³

1. Department of Computer Sciences, Tbilisi State University, Tbilisi 10128, Georgia;
2. Department of Applied Physics II, Polytechnic School, Malaga University, Malaga 29071, Spain;
3. Department of Statistics and Operative Research, Malaga University, Malaga 29071, Spain

Received:2011-11-28 Revised:2012-09-11 Online:2013-02-03 Published:2013-01-22
Contact: F. CRIADO-ALDEANUEVA, Professor, Ph.D., E-mail: fcriado@uma.es E-mail:fcriado@uma.es

摘要/Abstract

摘要： A problem of the plane elasticity theory is addressed for a doubly connected body with an external boundary of the regular hexagon shape and with a 6-fold symmetric hole at the center. It is assumed that all the six sides of the hexagon are subjected to uniform normal displacements via smooth rigid stamps, while the uniformly distributed normal stress is applied to the internal hole boundary. Using the methods of complex analysis, the analytical image of Kolosov-Muskhelishvili’s complex potentials and the shape of the hole contour are determined from the condition that the circumferential normal stress is constant along the hole contour. Numerical results are given and shown in relevant graphs.

关键词: topography, analytical solutions, polar low, tropical cyclone, complex variable theory, stress state, plate elasticity theory, regular polygon

Abstract: A problem of the plane elasticity theory is addressed for a doubly connected body with an external boundary of the regular hexagon shape and with a 6-fold symmetric hole at the center. It is assumed that all the six sides of the hexagon are subjected to uniform normal displacements via smooth rigid stamps, while the uniformly distributed normal stress is applied to the internal hole boundary. Using the methods of complex analysis, the analytical image of Kolosov-Muskhelishvili’s complex potentials and the shape of the hole contour are determined from the condition that the circumferential normal stress is constant along the hole contour. Numerical results are given and shown in relevant graphs.

Key words: topography, analytical solutions, polar low, tropical cyclone, regular polygon, plate elasticity theory, complex variable theory, stress state

N. ODISHELIDZE F. CRIADO-ALDEANUEVA J. M. SANCHEZ. Contact problem for regular hexagon weakened with full-strength hole[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(2): 239-248.

N. ODISHELIDZE; F. CRIADO-ALDEANUEVA; J. M. SANCHEZ. Contact problem for regular hexagon weakened with full-strength hole[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(2): 239-248.

参考文献

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Contact problem for regular hexagon weakened with full-strength hole

Contact problem for regular hexagon weakened with full-strength hole

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