Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
VSPKc Micromechanical Model - A Novel ROM-based Approach
Submission Author:
Lucas Vignoli , RJ , Brazil
Co-Authors:
Lucas Vignoli, Marcelo Savi, Pedro Manuel Calas Lopes Pacheco, Alexander Kalamkarov
Presenter: Lucas Vignoli
doi://10.26678/ABCM.COBEM2023.COB2023-0731
Abstract
The design of composite structures is a multiscale challenge, from micro to macroscale. Concerning this multiscale characteristic, a large number of variables are involved and analytical approaches become fundamental tools for optimization procedures. Micromechanical models can have a questionable accuracy due to unavoidable issues from manufacturing process as fiber nonuniform distribution, voids and residual stresses. On the other hand, its importance to estimate the effective macromechanical response of the composite using just the constituents’ properties is unquestionable, decreasing the requirement of experimental tests. Regarding these points, the present study aims to develop a novel micromechanical model, namely VSPKc, to estimate the effective elastic properties of unidirectional laminae. Solid mechanical arguments are considered adopting parallel and series associations of elements to define the micromechanical distribution of macromechanical loads. The proposed approach is based on the rule of mixture and considers the unit cell symmetry and a fiber with circular cross section geometry. A set of closed-form equations are derived, resulting in an efficient model with simple implementation and without the need to calibrate any empirical parameter. Finite element simulations using the commercial software Ansys and experimental data are employed as reference solutions in order to verify the model capability to estimate the elastic properties. On this basis, 126 experimental data are compiled from the literature. Other analytical models from the literature are compared with the proposed model that the VSPKc presented the best results concerning both metric, experimental data and finite element simulations. This double validation procedure implies that the VSPKc model has a high reliability. The novel model highlights the importance of considering the fiber circular geometry on the estimation of elastic properties, as well as the unit cell symmetry.
Keywords
Micromechanics of composites, effective elastic properties, Analytical modeling, Finite Element Method
