On Generalizations of the Minimal Complementary Energy Variational Principle in Linear Elastostatics
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910598946619392 |
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| author | Yang, Jiashi |
| author_facet | Yang, Jiashi |
| contents | It is shown that when the well-known minimal complementary energy variational principle in linear elastostatics is written in a different form with the strain tensor as an independent variable and the constitutive relation as one of the constraints, the removal of the constraints by Lagrange multipliers leads to a three-field variational principle with the displacement vector, stress field and strain field as independent variables. This three-field variational principle is without constrains and its variational functional is different from those of the existing three-field variational principles. The generalization is not unique. The procedure is mathematical and may be used in other branches of physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06875 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Generalizations of the Minimal Complementary Energy Variational Principle in Linear Elastostatics Yang, Jiashi Classical Physics It is shown that when the well-known minimal complementary energy variational principle in linear elastostatics is written in a different form with the strain tensor as an independent variable and the constitutive relation as one of the constraints, the removal of the constraints by Lagrange multipliers leads to a three-field variational principle with the displacement vector, stress field and strain field as independent variables. This three-field variational principle is without constrains and its variational functional is different from those of the existing three-field variational principles. The generalization is not unique. The procedure is mathematical and may be used in other branches of physics. |
| title | On Generalizations of the Minimal Complementary Energy Variational Principle in Linear Elastostatics |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2409.06875 |