Displacement and Stress Analysis of an Elastic Hollow Disk: Comparison with Strength of Materials' Prediction
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914088956723200 |
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| author | Okamura, Ken Sato, Yosuke Takada, Satoshi |
| author_facet | Okamura, Ken Sato, Yosuke Takada, Satoshi |
| contents | This paper analyzes the stress distribution in a two-dimensional elastic disk under diametric loading, with a focus on enhancing the understanding of concrete and rock materials' mechanical behavior. The study revisits the Brazilian test and addresses its high shear stress issue near loading points by exploring the ring test, which introduces a central hole in the disk. Using dynamic elasticity theory, we derive stress distributions over time and extend the analysis to static conditions. This approach distinguishes between longitudinal and transverse wave effects, providing a detailed stress field analysis. By drawing parallels with curved beam theories, we demonstrate the applicability of dynamic elasticity theory to complex stress problems, offering improved insights into the stress behavior in elastic disks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03282 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Displacement and Stress Analysis of an Elastic Hollow Disk: Comparison with Strength of Materials' Prediction Okamura, Ken Sato, Yosuke Takada, Satoshi Soft Condensed Matter Classical Physics This paper analyzes the stress distribution in a two-dimensional elastic disk under diametric loading, with a focus on enhancing the understanding of concrete and rock materials' mechanical behavior. The study revisits the Brazilian test and addresses its high shear stress issue near loading points by exploring the ring test, which introduces a central hole in the disk. Using dynamic elasticity theory, we derive stress distributions over time and extend the analysis to static conditions. This approach distinguishes between longitudinal and transverse wave effects, providing a detailed stress field analysis. By drawing parallels with curved beam theories, we demonstrate the applicability of dynamic elasticity theory to complex stress problems, offering improved insights into the stress behavior in elastic disks. |
| title | Displacement and Stress Analysis of an Elastic Hollow Disk: Comparison with Strength of Materials' Prediction |
| topic | Soft Condensed Matter Classical Physics |
| url | https://arxiv.org/abs/2505.03282 |