A Mathematical Approach to Establishing Constitutive Models for Geomaterials
The mathematical foundation of the traditional elastoplastic constitutive theory for geomaterials is presented from the mathematical point of view, that is, the expression of stress-strain relationship in principal stress/strain space being transformed to the expression in six-dimensional space. A n...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/739068 |
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| author | Guang-hua Yang Yu-xin Jie Guang-xin Li |
| author_facet | Guang-hua Yang Yu-xin Jie Guang-xin Li |
| author_sort | Guang-hua Yang |
| collection | DOAJ |
| description | The mathematical foundation of the traditional elastoplastic constitutive theory for geomaterials is presented from the mathematical point of view, that is, the expression of stress-strain relationship in principal stress/strain space being transformed to the expression in six-dimensional space. A new framework is then established according to the mathematical theory of vectors and tensors, which is applicable to establishing elastoplastic models both in strain space and in stress space. Traditional constitutive theories can be considered as its special cases. The framework also enables modification of traditional constitutive models. |
| format | Article |
| id | doaj-art-1e43e2e9bd0a46429583d7a05453d6ad |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1e43e2e9bd0a46429583d7a05453d6ad2025-02-03T06:13:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/739068739068A Mathematical Approach to Establishing Constitutive Models for GeomaterialsGuang-hua Yang0Yu-xin Jie1Guang-xin Li2Guangdong Provincial Research Institute of Water Conservancy and Hydropower, Guangzhou 510610, ChinaState Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, ChinaState Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, ChinaThe mathematical foundation of the traditional elastoplastic constitutive theory for geomaterials is presented from the mathematical point of view, that is, the expression of stress-strain relationship in principal stress/strain space being transformed to the expression in six-dimensional space. A new framework is then established according to the mathematical theory of vectors and tensors, which is applicable to establishing elastoplastic models both in strain space and in stress space. Traditional constitutive theories can be considered as its special cases. The framework also enables modification of traditional constitutive models.http://dx.doi.org/10.1155/2013/739068 |
| spellingShingle | Guang-hua Yang Yu-xin Jie Guang-xin Li A Mathematical Approach to Establishing Constitutive Models for Geomaterials Journal of Applied Mathematics |
| title | A Mathematical Approach to Establishing Constitutive Models for Geomaterials |
| title_full | A Mathematical Approach to Establishing Constitutive Models for Geomaterials |
| title_fullStr | A Mathematical Approach to Establishing Constitutive Models for Geomaterials |
| title_full_unstemmed | A Mathematical Approach to Establishing Constitutive Models for Geomaterials |
| title_short | A Mathematical Approach to Establishing Constitutive Models for Geomaterials |
| title_sort | mathematical approach to establishing constitutive models for geomaterials |
| url | http://dx.doi.org/10.1155/2013/739068 |
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