Abstract
Geometrical non-linearity is one of the aspects to be taken into account for accurate analysis of fibre reinforced polymers (FRPs), since large displacements and rotations may be observed in many of its structural applications such as in aircraft wings and wind turbine blades. In this paper, a co-rotational formulation and implementation of an invariant-based anisotropic plasticity model are presented for geometrically non-linear analysis of FRPs. The anisotropic constitutive equations are formulated in the format of isotropic tensors functions. The model assumes an anisotropic pressure-dependent yield function, and in addition to this, a non-associated plastic potential function in order to model realistic plastic deformations in FRPs. The formulation is then cast in the co-rotational framework to consider the geometrical non-linear effects in an efficient manner. The developed model is implemented in the commercial finite element (FE) software ABAQUS/Implicit via the means of the user-defined material subroutine (UMAT). The kinematics within the co-rotational frame is explained briefly while the important aspects regarding the numerical treatment and implementation are discussed in detail. Representative numerical examples at different scales are presented to demonstrate the applicability and robustness of the proposed development.
Highlights
Modern industry demands materials which are environmentally friendly by reducing the carbon footprint, improving safety by offering higher strengths and resistance to fatigue etc., and decreasing operational costs through virtue of fewer inspections and repairs required [1]
For the sake of transparency, this paper focuses on the extension of the geometrically linear plasticity model presented in [15] for unidirectional (UD) fibre reinforced polymers (FRPs), to take into account the geometrical non-linear effects due to large displacements and rotations
The second regarded the employment of the result stemming from the previous step in the constitutive block of the weak formulation of the balance of linear momentum, which was discretized in space by means of finite element method (FEM) and solved by means of a standard incremental-iterative Newton–Raphson scheme
Summary
Modern industry demands materials which are environmentally friendly by reducing the carbon footprint, improving safety by offering higher strengths and resistance to fatigue etc., and decreasing operational costs through virtue of fewer inspections and repairs required [1]. The co-rotational Lagrangian formulation provides the solution, where the idea is to decompose the motion of the body into rigid body motions i.e., deflections and rotations, and pure deformations It has been mostly employed for beam and shell formulations for isotropic materials [22,23,24,25] as such beam and shell elements are used for applications within small deformations, but it is not limited to that. The reader is referred to [24,30] In this contribution, an invariant-based anisotropic elasto–plastic model is formulated and implemented within the co-rotational framework for its application in geometrically non-linear analysis of FRPs. The anisotropic constitutive equations are represented in the form of isotropic tensor functions.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
