IJPAM: Volume 107, No. 4 (2016)
REINFORCED BY TWO FAMILIES OF FIBRES
Department of Mathematics ``Giuseppe Peano''
University of Turin
Via Carlo Alberto 10, Turin, 10123, ITALY
Abstract. In this paper the linearized finite theory of elasticity is applied to obtain linear constitutive equations for constrained materials reinforced by two orhogonal families of fibres. Explicit expressions for the three stress tensors are derived for inextensible in both fibre directions materials, for incompressible materials and finally for materials that are both incompressible and inextensible in the two fibre directions. Comparison with the corresponding constitutive equations provided by the classical approach shows that the classical equations are not accurate to first order in the strain.
Received: March 17, 2016
AMS Subject Classification: 74B99, 74E10, 74A10
Key Words and Phrases: constraints, linearized finite elasticity, constitutive equations, orthotropic symmetry
Download paper from here.
DOI: 10.12732/ijpam.v107i4.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 845 - 858