Parametric study of the deformation of transversely isotropic discs under diametral compression
The displacement field in a circular disc made of a transversely isotropic material is explored in a parametric manner. The disc is assumed to be loaded by a parabolic distribution of compressive radial stresses along two finite arcs of its periphery in the absence of any tangential (frictional) str...
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| Format: | Article |
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Gruppo Italiano Frattura
2017-07-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero41/numero_41_art_51.pdf |
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| _version_ | 1841564259530571776 |
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| author | Christos F. Markides Stavros K. Kourkoulis |
| author_facet | Christos F. Markides Stavros K. Kourkoulis |
| author_sort | Christos F. Markides |
| collection | DOAJ |
| description | The displacement field in a circular disc made of a transversely isotropic material is explored in a parametric manner. The disc is assumed to be loaded by a parabolic distribution of compressive radial stresses along two finite arcs of its periphery in the absence of any tangential (frictional) stresses. Advantage is here taken of a recently introduced closed-form analytic solution for the displacement field developed in an orthotropic disc under diametral compression which was achieved adopting the complex potentials technique for rectilinear anisotropic materials as it was formulated in the pioneering work of S.G. Lekhnitskii. The analytic nature of this solution permits thorough, indepth exploration of the influence of some crucial parameters on the qualitative and quantitative characteristics of the deformation of transversely isotropic circular discs compressed between the jaws of the devise suggested by the International Society for Rock Mechanics for the standardized implementation of the Brazilian-disc test. The parameters considered include the anisotropy ratio (i.e., the ratio of the two elastic moduli characterizing the disc material), the angle between the loading axis and the planes of transverse isotropy and the length of the loaded arcs. Strongly non-linear relationships between these parameters and the components of the displacement field are revealed. |
| format | Article |
| id | doaj-art-9a7ae433b9b547689ec2edcf385ad8aa |
| institution | Kabale University |
| issn | 1971-8993 1971-8993 |
| language | English |
| publishDate | 2017-07-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-9a7ae433b9b547689ec2edcf385ad8aa2025-01-02T23:00:50ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89931971-89932017-07-01114139641110.3221/IGF-ESIS.41.51Parametric study of the deformation of transversely isotropic discs under diametral compressionChristos F. Markides0 Stavros K. Kourkoulis 1National Technical University of Athens, GreeceNational Technical University of Athens, GreeceThe displacement field in a circular disc made of a transversely isotropic material is explored in a parametric manner. The disc is assumed to be loaded by a parabolic distribution of compressive radial stresses along two finite arcs of its periphery in the absence of any tangential (frictional) stresses. Advantage is here taken of a recently introduced closed-form analytic solution for the displacement field developed in an orthotropic disc under diametral compression which was achieved adopting the complex potentials technique for rectilinear anisotropic materials as it was formulated in the pioneering work of S.G. Lekhnitskii. The analytic nature of this solution permits thorough, indepth exploration of the influence of some crucial parameters on the qualitative and quantitative characteristics of the deformation of transversely isotropic circular discs compressed between the jaws of the devise suggested by the International Society for Rock Mechanics for the standardized implementation of the Brazilian-disc test. The parameters considered include the anisotropy ratio (i.e., the ratio of the two elastic moduli characterizing the disc material), the angle between the loading axis and the planes of transverse isotropy and the length of the loaded arcs. Strongly non-linear relationships between these parameters and the components of the displacement field are revealed.http://www.gruppofrattura.it/pdf/rivista/numero41/numero_41_art_51.pdfRectilinearly anisotropic materialsTransverse isotropyAnisotropy ratioBrazilian-disc testDisplacement field |
| spellingShingle | Christos F. Markides Stavros K. Kourkoulis Parametric study of the deformation of transversely isotropic discs under diametral compression Fracture and Structural Integrity Rectilinearly anisotropic materials Transverse isotropy Anisotropy ratio Brazilian-disc test Displacement field |
| title | Parametric study of the deformation of transversely isotropic discs under diametral compression |
| title_full | Parametric study of the deformation of transversely isotropic discs under diametral compression |
| title_fullStr | Parametric study of the deformation of transversely isotropic discs under diametral compression |
| title_full_unstemmed | Parametric study of the deformation of transversely isotropic discs under diametral compression |
| title_short | Parametric study of the deformation of transversely isotropic discs under diametral compression |
| title_sort | parametric study of the deformation of transversely isotropic discs under diametral compression |
| topic | Rectilinearly anisotropic materials Transverse isotropy Anisotropy ratio Brazilian-disc test Displacement field |
| url | http://www.gruppofrattura.it/pdf/rivista/numero41/numero_41_art_51.pdf |
| work_keys_str_mv | AT christosfmarkides parametricstudyofthedeformationoftransverselyisotropicdiscsunderdiametralcompression AT stavroskkourkoulis parametricstudyofthedeformationoftransverselyisotropicdiscsunderdiametralcompression |