Energy-Based Yield Condition for Orthotropic Materials Exhibiting Asymmetry of Elastic Range
The aim of the paper is to formulate physically well founded yield condition for initially anisotropic solids revealing the asymmetry of elastic range. The initial anisotropy occurs in material primarily due to thermo-mechanical pre-processing and plastic deformation during the manufacturing process...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2020-05-01
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| Series: | Archives of Metallurgy and Materials |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/116056/PDF/AMM-2020-2-33-Nowak.pdf |
| _version_ | 1798040939382439936 |
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| author | R.B. Pęcherski A. Rusinek T. Fras M. Nowak Z. Nowak |
| author_facet | R.B. Pęcherski A. Rusinek T. Fras M. Nowak Z. Nowak |
| author_sort | R.B. Pęcherski |
| collection | DOAJ |
| description | The aim of the paper is to formulate physically well founded yield condition for initially anisotropic solids revealing the asymmetry of elastic range. The initial anisotropy occurs in material primarily due to thermo-mechanical pre-processing and plastic deformation during the manufacturing processes. Therefore, materials in the “as-received” state become usually anisotropic. After short account of the known limit criteria for anisotropic solids and discussion of mathematical preliminaries the energy-based criterion for orthotropic materials was formulated and confronted with experimental data and numerical predictions of other theories. Finally, possible simplifications are discussed and certain model of isotropic material with yield condition accounting for a correction of shear strength due to initial anisotropy is presented. The experimental verification is provided and the comparison with existing approach based on the transformed-tensor method is discussed. |
| first_indexed | 2024-04-11T22:14:35Z |
| format | Article |
| id | doaj.art-4bc555ab475845c0b8f481ca56d770e1 |
| institution | Directory Open Access Journal |
| issn | 2300-1909 |
| language | English |
| last_indexed | 2024-04-11T22:14:35Z |
| publishDate | 2020-05-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Metallurgy and Materials |
| spelling | doaj.art-4bc555ab475845c0b8f481ca56d770e12022-12-22T04:00:27ZengPolish Academy of SciencesArchives of Metallurgy and Materials2300-19092020-05-01vol. 65No 2771778https://doi.org/10.24425/amm.2020.132819Energy-Based Yield Condition for Orthotropic Materials Exhibiting Asymmetry of Elastic RangeR.B. PęcherskiA. RusinekT. FrasM. NowakZ. NowakThe aim of the paper is to formulate physically well founded yield condition for initially anisotropic solids revealing the asymmetry of elastic range. The initial anisotropy occurs in material primarily due to thermo-mechanical pre-processing and plastic deformation during the manufacturing processes. Therefore, materials in the “as-received” state become usually anisotropic. After short account of the known limit criteria for anisotropic solids and discussion of mathematical preliminaries the energy-based criterion for orthotropic materials was formulated and confronted with experimental data and numerical predictions of other theories. Finally, possible simplifications are discussed and certain model of isotropic material with yield condition accounting for a correction of shear strength due to initial anisotropy is presented. The experimental verification is provided and the comparison with existing approach based on the transformed-tensor method is discussed.https://journals.pan.pl/Content/116056/PDF/AMM-2020-2-33-Nowak.pdfenergy-based yield conditionorthotropic solidsinitial anisotropystrength differential effectnumerical simulation |
| spellingShingle | R.B. Pęcherski A. Rusinek T. Fras M. Nowak Z. Nowak Energy-Based Yield Condition for Orthotropic Materials Exhibiting Asymmetry of Elastic Range Archives of Metallurgy and Materials energy-based yield condition orthotropic solids initial anisotropy strength differential effect numerical simulation |
| title | Energy-Based Yield Condition for Orthotropic Materials Exhibiting Asymmetry of Elastic Range |
| title_full | Energy-Based Yield Condition for Orthotropic Materials Exhibiting Asymmetry of Elastic Range |
| title_fullStr | Energy-Based Yield Condition for Orthotropic Materials Exhibiting Asymmetry of Elastic Range |
| title_full_unstemmed | Energy-Based Yield Condition for Orthotropic Materials Exhibiting Asymmetry of Elastic Range |
| title_short | Energy-Based Yield Condition for Orthotropic Materials Exhibiting Asymmetry of Elastic Range |
| title_sort | energy based yield condition for orthotropic materials exhibiting asymmetry of elastic range |
| topic | energy-based yield condition orthotropic solids initial anisotropy strength differential effect numerical simulation |
| url | https://journals.pan.pl/Content/116056/PDF/AMM-2020-2-33-Nowak.pdf |
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