An efficient algorithm based on micromechanics to predict response of metal matrix composites activated with shape memory alloy fiber

In this paper, by applying a new programming mode, thermomechanical behavior of activated composite with shape memory alloy fiber is extracted subjected to cyclic off axis loading using a 3D analytical micromechanical model. Object-orientation and its applied principles are implemented on the micromechanical model and response of the composite is determined by Newton - Raphson nonlinear numerical solution method at different thermal interval. In order to achieve an optimal response, a factor as convergence coefficient in the Newton - Raphson nonlinear solution method is employed. Representative volume element of the composite consists of two-phases including shape memory alloy fiber and metal matrix. behavior of the metallic matrix is considered as viscoplastic while shape memory alloys is assumed nonlinear inelastic based on Lagoudas model which is able to model phase transformation and superelastic behavior of the shape memory alloys. Moreover, arrangement of fibers within the matrix is considered randomly. Thermomechanical responses of composite at different temperature ranges are investigated to display the shape memory effect and superelasticity properties of shape memory fiber. In this regard, at the first, the composite system is exposed to cyclic mechanical loading and unloading and then exposed to thermal loading. Shape memory effect property of shape memory wire and composite are compared and the effects of forces within the active composite induced via axially constraining of the composite are investigated. Furthermore, the effect of fiber orientation is illustrated. Comparison between the present research results and previous available researches shows good agreement.