A numerical method for the solution of plane crack problems in finite media
A general method for the solution of plane isotropic elasticity crack problems inside a finite medium of arbitrary shape or an infinite medium with holes of arbitrary shape is presented. This method is based on the complex potential approach of plane elasticity problems due to Kolosov and Muskhelish...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1980-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171280000543 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556936616214528 |
|---|---|
| author | P. S. Theocaris N. Ioakimidis |
| author_facet | P. S. Theocaris N. Ioakimidis |
| author_sort | P. S. Theocaris |
| collection | DOAJ |
| description | A general method for the solution of plane isotropic elasticity crack problems inside a finite medium of arbitrary shape or an infinite medium with holes of arbitrary shape is presented. This method is based on the complex potential approach of plane elasticity problems due to Kolosov and Muskhelishvili [1] and makes no assumption on the way of loading of the cracks and of the other boundaries of the medium. |
| format | Article |
| id | doaj-art-1225d697ed504505a4a0e802d3b62d41 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1980-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1225d697ed504505a4a0e802d3b62d412025-02-03T05:44:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013473976010.1155/S0161171280000543A numerical method for the solution of plane crack problems in finite mediaP. S. Theocaris0N. Ioakimidis1Department of Theoretical and Applied Mechanics, The National Technical University of Athens, 5 K. Zografou Street, Zografou, Athens 624, GreeceDepartment of Theoretical and Applied Mechanics, The National Technical University of Athens, 5 K. Zografou Street, Zografou, Athens 624, GreeceA general method for the solution of plane isotropic elasticity crack problems inside a finite medium of arbitrary shape or an infinite medium with holes of arbitrary shape is presented. This method is based on the complex potential approach of plane elasticity problems due to Kolosov and Muskhelishvili [1] and makes no assumption on the way of loading of the cracks and of the other boundaries of the medium.http://dx.doi.org/10.1155/S0161171280000543singular integral equationsplane curvilinear cracksnumerical solutionsstress intensity factorscomplex potentialsCauchy-type principal value integralsLobatto-Chebyshev numerical integration rule. |
| spellingShingle | P. S. Theocaris N. Ioakimidis A numerical method for the solution of plane crack problems in finite media International Journal of Mathematics and Mathematical Sciences singular integral equations plane curvilinear cracks numerical solutions stress intensity factors complex potentials Cauchy-type principal value integrals Lobatto-Chebyshev numerical integration rule. |
| title | A numerical method for the solution of plane crack problems in finite media |
| title_full | A numerical method for the solution of plane crack problems in finite media |
| title_fullStr | A numerical method for the solution of plane crack problems in finite media |
| title_full_unstemmed | A numerical method for the solution of plane crack problems in finite media |
| title_short | A numerical method for the solution of plane crack problems in finite media |
| title_sort | numerical method for the solution of plane crack problems in finite media |
| topic | singular integral equations plane curvilinear cracks numerical solutions stress intensity factors complex potentials Cauchy-type principal value integrals Lobatto-Chebyshev numerical integration rule. |
| url | http://dx.doi.org/10.1155/S0161171280000543 |
| work_keys_str_mv | AT pstheocaris anumericalmethodforthesolutionofplanecrackproblemsinfinitemedia AT nioakimidis anumericalmethodforthesolutionofplanecrackproblemsinfinitemedia AT pstheocaris numericalmethodforthesolutionofplanecrackproblemsinfinitemedia AT nioakimidis numericalmethodforthesolutionofplanecrackproblemsinfinitemedia |