Nonlinear Thermo-Mechanical Behaviour Analysis of Activated Composites With Shape Memory Alloy Fibres

Moghbeli, S.; Mahmoodi, M.J.

Nonlinear Thermo-Mechanical Behaviour Analysis of Activated Composites With Shape Memory Alloy Fibres

Document Type : Persian

Authors

S. Moghbeli ¹
M.J. Mahmoodi ²

¹ MSc. Student, Faculty of Mechanical and Energy Engineering, Shahid Beheshti University, Tehran, Iran

² Assistant professor, Faculty of Mechanical and Energy Engineering, Shahid Beheshti University, Tehran, Iran

Abstract

General thermo-mechanical behavior of composites reinforced by shape memory alloy fibers is predicted using a three-dimensional analytical micromechanical method to consider the effect of fibers activation. Composite due to the micromechanical method can be exposed to general normal and shear mechanical and thermal loading which cause to activate the shape memory alloy fibers within polymeric matrix finally. Considering the capabilities of the presented micromechanical model; the fibers arrangement within the matrix is simulated as square distribution. Representative volume element of the composite system consists of two-phases including shape memory alloys fibers and polymeric matrix which is exposed to axial cyclic mechanical loading. In order to display the effect of fiber activation on the overall response of composite, the behavior of polymeric matrix is assumed elastic and shape memory alloy fibers is considered nonlinear inelastic based on 3-D Lagoudas model is simulated. The model is capable to predict the phase transformation and super elastic behavior of shape memory alloys. In order to develop thermo-mechanical equations of the shape memory alloy in the unit cell model, Newton-Raphson nonlinear numerical solution method is used. In the results, the effects of significant parameters on the thermo-mechanical response of composites are investigated and then the composite thermo-mechanical response is demonstrated in the high and low temperature interval and the effect of shape memory alloy wire activation in the composite is addressed. The presented results show that the composite residual strain in mechanical unloading decreases by enhancing temperature. Therefore, the composite residual strain approaches to zero when the temperature is higher than at which austenite transformation finishes. Comparison between the present research results with available previous researches shows good agreement

Keywords

References

[1] Lagoudas D.C., ShapeMemory Alloys: Modeling and Engineering Applications, Springer, 2008

[2] Birman V., Review of mechanics of shape memory alloy structures, Applied Mechanics Reviews, 506, 1997, pp. 29-45.

[3] Ostachowicz W.M., Krawczuk M., and Zak A., Dynamics and buckling of multilayer composite plates with embedded SMA weirs, Journal of Composite Structures, 48, 2000, pp. 163-167.

[4] Birman V., Saravanos D.A. and Hopkins D.A., Micromechanics of Composites With Shape Memory Alloy Fibers in Uniform Thermal Fields, American Institute of Aeronautics and Astronautics Journal, 34(9), 1998, pp. 1905-1912.

[5] Lagoudas D.C., BO, Z. Qidwai M.A., Micromechanics of Active Metal Matrix Composites with Shape Memory Alloy Fibers, in Inelasticity and Micromechanics of Metal Matrix Composites, Studies in Applied Mechanics, G.Z. Voyiadjis and J-W. Ju, eds., Vol. 41, Elsevier, Amsterdam, pp. 163-190, 1994.

[6] Cherkaoui M., Sun Q.P. and Song G.Q., Micromechanics modelling of composite with ductile matrix and shape memory alloy reinforcement, International Journal of Solids and Structures, 37, 2000, pp. 1577-1594.

[7] Aboudi J., Micromechanical analysis of composites by the method of cells, Applied Mechanics Reviews, 49, 1996, pp. 83-91.

[8] Paley M. and Aboudi j., Micromechanical Analysis of Composites by the Generalized Cells Model, Mechanics of Materials, 14, 1992, pp. 127-139.

[9] Jarali C.S., Raja S. and Upadhya A.R., Micro-mechanical behaviors of SMA composite materials under hygro-thermo-elastic strain fields, International Journal of Solids and Structures, 45, 2008, pp .2399-2419.

[10] Aboudi J, Micromechanically based constitutive equations for shape memory fiber composites undergoing large deformations. Smart Material and Structure, 13, 2004, pp. 828-837.

[11] Auricchio F., A robust integration-algorithm for a finite-strain shape-memory- alloy super elastic model, International Journal of plasticity, 17, 2001, pp. 971-990.

[12] Freed Y. and Aboudi J., Thermo mechanically coupled micromechanical analysis of shape memory alloy composites undergoing transformation induced plasticity. Journal of Intelligent Material Systems and Structures, 20(23), 2009, pp. 23-38.

[13] Auricchio F., Reali A. and Stefanelli U., A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity. International Journal of plasticity, 23, 2007, pp. 207-226.

[14] Marfia S. and Sacco E., Analysis of SMA composite laminates using a multiscale modelling technique. International Journal for Numerical Methods in Engineering, 70, 2007, pp. 1182-1208.

[15] Sepe V., Marfia, S. and Sacco, E., A non-uniform TFA homogenization technique based on piecewise interpolation functions of the inelastic field, International Journal of Solids and Structures, 50, 2013, pp.725-742.

[16] Evangelista V., Marfia S. and Sacco E., Phenomenological 3D and 1D consistent models for SMA materials, Computational Mechanics. 44, 2009, pp. 405-421.

[17] Damanpack A.R., Aghdam M.M., Shakeri M., Micro-mechanics of composite with SMA fibers embedded in metallic/ polymeric matrix under off-axial loadings, European Journal of Mechanics A/Solids. 49, 2015, pp. 467-480.

[18] Aghdam M.M., Smith D. J. and Pavier M. J., Finite Element Micromechanical Modelling of Yield and Collapse behavior of Metal Matrix Composites, Journal of the Mechanics and Physics of Solids. 48(3), 2000, pp. 499-528.

[19] Mahmoodi M. J., Aghdam M. M. and Shakeri M., Micromechanical modeling of interface damage of metal matrix composites subjected to off-axis loading, Materials & Design. 31(2), 2010, pp. 829-836.

[20] Gilat R. and Aboudi J., Dynamic response of active composite plates: shape memory alloy fibers in polymeric/metallic matrices, International Journal of Solids and Structures, 41, 2004, pp.5717-5731.

[21] Chapra S.C., Applied Numerical Methods with Matlab for Engineers and Scientists, 3rd Ed, Raghothaman Srinivasan, 2012.