Non-Linear Constitutive Equations for Transversely Isotropic Materials Belonging to the С∞ and С∞h Symmetry Groups
| Autor: | S.V. Tsvetkov |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
General Computer Science General Mathematics Constitutive equation General Engineering General Physics and Astronomy 02 engineering and technology General Chemistry Symmetry group 01 natural sciences 010305 fluids & plasmas Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Transverse isotropy 0103 physical sciences Mathematical physics |
| Zdroj: | Herald of the Bauman Moscow State Technical University. Series Natural Sciences. :46-59 |
| ISSN: | 1812-3368 |
| DOI: | 10.18698/1812-3368-2019-3-46-59 |
| Popis: | Transversely isotropic materials feature infinite-order symmetry axes. Depending on which other symmetry elements are found in the material structure, five symmetry groups may be distinguished among transversely isotropic materials. We consider constitutive equations for these materials. These equations connect two symmetric second-order tensors. Two types of constitutive equations describe the properties of these five material groups. We derived constitutive equations for materials belonging to the C∞ and C∞h symmetry groups in the tensor function form. To do this, we used corollaries of Curie's Symmetry Principle. This makes it possible to obtain a fully irreducible form of the tensor function. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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