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EnglishIn this paper the linearized finite theory of elas- ticity is applied to obtain linear constitutive equations for con- strained materials reinforced by two orhogonal families of fi- bres. Explicit expressions for the three stress tensors are de- rived for inextensible in both fibre directions materials, for in- compressible materials and finally for materials that are both incompressible and inextensible in the two fibre directions. Comparison with the corresponding constitutive equations pro- vided by the classical approach shows that the classical equa- tions are not accurate to first order in the strain.
| Titolo: | CONSTRAINED LINEARLY ELASTIC MATERIALS REINFORCED BY TWO FAMILIES OF FIBRES |
| Autori Riconosciuti: | |
| Autori: | Tonon, M.L |
| Data di pubblicazione: | 2016 |
| Abstract: | In this paper the linearized finite theory of elas- ticity is applied to obtain linear constitutive equations for con- strained materials reinforced by two orhogonal families of fi- bres. Explicit expressions for the three stress tensors are de- rived for inextensible in both fibre directions materials, for in- compressible materials and finally for materials that are both incompressible and inextensible in the two fibre directions. Comparison with the corresponding constitutive equations pro- vided by the classical approach shows that the classical equa- tions are not accurate to first order in the strain. |
| Volume: | 107 |
| Fascicolo: | 4 |
| Pagina iniziale: | 845 |
| Pagina finale: | 858 |
| Digital Object Identifier (DOI): | 10.12732/ijpam.v107i4.4 |
| URL: | http://www.ijpam.eu |
| Rivista: | INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS |
| Appare nelle tipologie: | 03A-Articolo su Rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Constrained...fibres Bozza.pdf | 3 Pre-print | Open Access Visualizza/Apri | ||
| TONON 2016.pdf | 2 PDF Editoriale | Open Access Visualizza/Apri |
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