Analytical and numerical study of the stress field in a circular semi- ring under combined diametral compression and bending
The stress field developed in a circular semi-ring under the combined action of diametral compression and bending is explored both analytically and numerically. The analytic solution is implemented by means of the complex potentials technique as it was formulated by Muskhelishvili, while for the...
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Gruppo Italiano Frattura
2018-12-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/2173 |
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| author | Stavros K Kourkoulis Ermioni D. Pasiou Christos F. Markides |
| author_facet | Stavros K Kourkoulis Ermioni D. Pasiou Christos F. Markides |
| author_sort | Stavros K Kourkoulis |
| collection | DOAJ |
| description | The stress field developed in a circular semi-ring under the combined action of diametral compression and bending is explored both analytically and numerically. The analytic solution is implemented by means of the complex potentials technique as it was formulated by Muskhelishvili, while for the numerical study a finite element model, properly validated based on experimental data, is used. The analytic solution provided closed formulae for the stress field along strategic loci of the specimen, while the numerical model permitted thorough parametric investigation of the dependence of critical quantities on geometrical and loading factors. The idea behind the study is to assess the potentialities of the circular semi-ring as a possible substitute of the familiar Brazilian disc, in the direction of curing drawbacks of the latter. It was concluded that a circular semi-ring subjected to eccentric diametral compression provides reliable data for the tensile strength of very brittle materials, relieved from ambiguities characterizing the standardized Brazilian-disc test. |
| format | Article |
| id | doaj-art-bb83bda956814ab69dbd41f8d41e9701 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2018-12-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-bb83bda956814ab69dbd41f8d41e97012025-01-02T23:01:01ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932018-12-011347Analytical and numerical study of the stress field in a circular semi- ring under combined diametral compression and bendingStavros K Kourkoulis0Ermioni D. Pasiou1Christos F. Markides2National Technical University of AthensNational Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, Labo¬ratory for Testing and Materials, 5, Heroes of Polytechnion Avenue, Zografou Campus, Theocaris Building, 157 73, GreeceNational Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, Labo¬ratory for Testing and Materials, 5, Heroes of Polytechnion Avenue, Zografou Campus, Theocaris Building, 157 73, GreeceThe stress field developed in a circular semi-ring under the combined action of diametral compression and bending is explored both analytically and numerically. The analytic solution is implemented by means of the complex potentials technique as it was formulated by Muskhelishvili, while for the numerical study a finite element model, properly validated based on experimental data, is used. The analytic solution provided closed formulae for the stress field along strategic loci of the specimen, while the numerical model permitted thorough parametric investigation of the dependence of critical quantities on geometrical and loading factors. The idea behind the study is to assess the potentialities of the circular semi-ring as a possible substitute of the familiar Brazilian disc, in the direction of curing drawbacks of the latter. It was concluded that a circular semi-ring subjected to eccentric diametral compression provides reliable data for the tensile strength of very brittle materials, relieved from ambiguities characterizing the standardized Brazilian-disc test.https://www.fracturae.com/index.php/fis/article/view/2173Circular semi-ringBrazilian-disc testTensile strengthComplex potentialsFinite element methodStress field |
| spellingShingle | Stavros K Kourkoulis Ermioni D. Pasiou Christos F. Markides Analytical and numerical study of the stress field in a circular semi- ring under combined diametral compression and bending Fracture and Structural Integrity Circular semi-ring Brazilian-disc test Tensile strength Complex potentials Finite element method Stress field |
| title | Analytical and numerical study of the stress field in a circular semi- ring under combined diametral compression and bending |
| title_full | Analytical and numerical study of the stress field in a circular semi- ring under combined diametral compression and bending |
| title_fullStr | Analytical and numerical study of the stress field in a circular semi- ring under combined diametral compression and bending |
| title_full_unstemmed | Analytical and numerical study of the stress field in a circular semi- ring under combined diametral compression and bending |
| title_short | Analytical and numerical study of the stress field in a circular semi- ring under combined diametral compression and bending |
| title_sort | analytical and numerical study of the stress field in a circular semi ring under combined diametral compression and bending |
| topic | Circular semi-ring Brazilian-disc test Tensile strength Complex potentials Finite element method Stress field |
| url | https://www.fracturae.com/index.php/fis/article/view/2173 |
| work_keys_str_mv | AT stavroskkourkoulis analyticalandnumericalstudyofthestressfieldinacircularsemiringundercombineddiametralcompressionandbending AT ermionidpasiou analyticalandnumericalstudyofthestressfieldinacircularsemiringundercombineddiametralcompressionandbending AT christosfmarkides analyticalandnumericalstudyofthestressfieldinacircularsemiringundercombineddiametralcompressionandbending |