2018 - Sustainable Industrial Processing Summit & Exhibition
4-7 November 2018, Rio Othon Palace, Rio De Janeiro, Brazil
| Modelling Shape Memory Effect in Hybrid Composite Lucas Vignoli1; Marcelo Amorim Savi1; 1FEDERAL UNIVERSITY OF RIO DE JANEIRO, Rio de Janeiro, Brazil; PAPER: 360/Manufacturing/Regular (Oral) SCHEDULED: 15:15/Wed./Mar Azul (50/1st) ABSTRACT: Composite materials have been widely used in a large range of industrial applications, mainly because of their lightweight characteristics and high capability to increase strength and stiffness in certain directions, especially in unidirectional laminates. On the other hand, the unique thermomechanical behavior of Shape Memory Alloys (SMAs) has a set of remarkable properties resulting from microscopic phase transformation, allowing the possibility to design new devices that consider pseudoelasticity and shape memory effect (SME) [1,2]. In this study, a unidirectional composite made by SMA fibers embedded in an epoxy matrix is considered. Two different temperature cycles are modelled: first, the curing manufacture process is simulated [3], and then the applied temperature on the SMA fibers to induce the SME. The generalized plane strain state is assumed, and two approaches are used to model the interaction between fibers and matrix. A simplified 1D model, which considers fibers and matrix as springs in parallel, is introduced to evaluate the maximum recovery capability of the composite and a 2D equivalent cell model is used to represent a hexagonal array [4]. The Brinson constitutive model [5] and its modified version with the von Mises equivalent for general stress state [6,7] are applied for the SMA fibers, while the matrix is assumed linearly-elastic with properties defined as functions of the temperature. The maximum recoverable strain range is found to be function not only of the SMA maximum recoverable strain but also of the matrix and interface failures [8]. Results indicate a good correlation between both approaches, however the 2D model has the advantage to be able to computer interface stresses and nonuniform phase transformation. A comparison with the analytical single-fiber model is also carried out [9]. References: [1] D.D.A. Costa, M.A. Savi, (2017), "Nonlinear dynamics of an SMA-pendulum system", Nonlinear Dynamics, 87, 1617-1627. <br />[2] P.B.C., Leal, M.A. Savi, (2018), "Shape Memory Alloy-Based Mechanism for Aeronautical Application: Theory, Optimization and Experiment", Aerospace Science and Technology, 76, 155-163.<br />[3] J.B. Berman, S.R. White, (1996), "Theoretical modelling of residual and transformational stresses in SMA composites", 5, 731-743.<br />[4] A.B. Morais, (1996), "Modelling Lamina Longitudinal Compression Strength of Carbon Fibre Composite Laminates", Journal of Composite Materials, 30, 1115-1131.<br />[5] L.C. Brinson, (1993), "One dimensional constitutive behavior of shape memory alloys: themomechanical derivation with non-constant material functions and redefined martensite internal variable", Journal of Intelligent Material Systems and Structures, 4, 229-242.<br />[6] D. Lagoudas, D. Hartl, Y. Chemisky, L. Machado, P. Popov, (2012), "Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys", International Journal of Plasticity, 32, 155-183.<br />[7] S. Enemark, I.F. Santos, M.A. Savi, (2016), "Modelling, characterisation and uncertainties of stabilised pseudoelastic shape memory alloy helical springs", Journal of Intelligent Material Systems and Structures, 27, 2721-2743. <br />[8] Y. Huang, L. Xu, S.K. Ha, (2012), "Prediction of three-dimensional composite laminate response using micromechanics of failure", Journal of Composite Materials, 46, 2431-2442. <br />[9] Y. Wang, L. Zhou, Z. Wang, H. Huang, L. Ye, (2011), "Analysis of internal stresses induced by strain recovery in a single SMA fiber-matrix composite", Composites: Part B, 42, 1135-1143. |
