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.

CONSTRAINED LINEARLY ELASTIC MATERIALS REINFORCED BY TWO FAMILIES OF FIBRES

TONON, Maria Luisa
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.
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http://www.ijpam.eu
Tonon, M.L
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/1560844
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