Journal
JOURNAL OF ENGINEERING MATHEMATICS
Volume 127, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/s10665-021-10098-3
Keywords
3D stresses; Nonlinear shear; Objectivity; Tangential stiffness; Torsion; UD composites
Funding
- opening project of State Key Laboratory of Explosion Science and Technology (Beijing Institute of Technology) [KFJJ9-11M]
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This paper investigates the nonlinear along-fibre shear stress-strain relationship for unidirectionally fibre-reinforced composites and proposes a new formulation based on stress invariants and the rational theoretical framework of nonlinear elasticity. The consistent and objective stress-strain relationship has been obtained and verified through an example of application to a torsion problem.
The nonlinear along-fibre shear stress-strain relationship for unidirectionally fibre-reinforced composites has been investigated in this paper aiming at its applications in general 3D stress conditions in a consistent manner. So far, such relationship has only been addressed in plane stress conditions. In this paper, it has been shown that its straightforward generalisation to 3D stress states lacks objectivity, which is a basic requirement for all theoretical studies of physical problems. A new formulation is proposed based on the stress invariants and the complementary strain energy guided by the rational theoretical framework of nonlinear elasticity. A consistent and objective stress-strain relationship has been obtained and verified through an example of application to a torsion problem.
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