Standard Deformations of Nonlinear Elastic Structural Elements with Power-Law Constitutive Model
In this paper, the case of the power dependence between strain and stress is studied, along with the way in which this dependence modifies the calculation methodologies and the results that are obtained in classic cases of stress. The main cases studied are compression (squashing), tension (pulling)...
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MDPI AG
2024-12-01
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| Series: | Mathematics |
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| author | Sorin Vlase Marin Marin |
| author_facet | Sorin Vlase Marin Marin |
| author_sort | Sorin Vlase |
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| description | In this paper, the case of the power dependence between strain and stress is studied, along with the way in which this dependence modifies the calculation methodologies and the results that are obtained in classic cases of stress. The main cases studied are compression (squashing), tension (pulling), bending, shear (cutting), and torsion (twisting). Simple relationships are thus obtained for a wide class of materials that fall into this category. They can be useful to designers because they provide information on mechanical structures in a short time with good precision. |
| format | Article |
| id | doaj-art-ad2e535057fa4272a9884d77f55a3af8 |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-ad2e535057fa4272a9884d77f55a3af82025-08-20T02:57:16ZengMDPI AGMathematics2227-73902024-12-011224399210.3390/math12243992Standard Deformations of Nonlinear Elastic Structural Elements with Power-Law Constitutive ModelSorin Vlase0Marin Marin1Department of Mechanical Engineering, Transilvania University of Brasov, 500036 Brasov, RomaniaDepartment of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, RomaniaIn this paper, the case of the power dependence between strain and stress is studied, along with the way in which this dependence modifies the calculation methodologies and the results that are obtained in classic cases of stress. The main cases studied are compression (squashing), tension (pulling), bending, shear (cutting), and torsion (twisting). Simple relationships are thus obtained for a wide class of materials that fall into this category. They can be useful to designers because they provide information on mechanical structures in a short time with good precision.https://www.mdpi.com/2227-7390/12/24/3992nonlinear materialpower lawstresstraction/compressionbendingshear |
| spellingShingle | Sorin Vlase Marin Marin Standard Deformations of Nonlinear Elastic Structural Elements with Power-Law Constitutive Model Mathematics nonlinear material power law stress traction/compression bending shear |
| title | Standard Deformations of Nonlinear Elastic Structural Elements with Power-Law Constitutive Model |
| title_full | Standard Deformations of Nonlinear Elastic Structural Elements with Power-Law Constitutive Model |
| title_fullStr | Standard Deformations of Nonlinear Elastic Structural Elements with Power-Law Constitutive Model |
| title_full_unstemmed | Standard Deformations of Nonlinear Elastic Structural Elements with Power-Law Constitutive Model |
| title_short | Standard Deformations of Nonlinear Elastic Structural Elements with Power-Law Constitutive Model |
| title_sort | standard deformations of nonlinear elastic structural elements with power law constitutive model |
| topic | nonlinear material power law stress traction/compression bending shear |
| url | https://www.mdpi.com/2227-7390/12/24/3992 |
| work_keys_str_mv | AT sorinvlase standarddeformationsofnonlinearelasticstructuralelementswithpowerlawconstitutivemodel AT marinmarin standarddeformationsofnonlinearelasticstructuralelementswithpowerlawconstitutivemodel |