Micromechanics modeling of composite with ductile matrix and shape memory alloy reinforcement

Abstract A quantitative micromechanics-based analysis on the role of microstructure and constituent properties in the overall behavior of shape memory alloy (SMA) composite is carried out in the present work. The composite consists of ductile matrix and SMA second phase inclusions. The macroscopic constitutive relations of the composite are established by using self-consistent approach where the micro–macro correlation is realized by volume averaging and by introducing the concept of stress and strain concentration tensors. In this micromechanics modeling, the internal stress and strain in both matrix and SMA and their evolution are derived as function of externally applied thermomechanical loading as well as the degree of phase transformation in SMA. As an application of the present theory in the microstructural design of this novel composite, the constitutive response of composites with spherical SMA particulate embedded in two different elastoplastic matrixes under uniaxial tension is calculated. The obtained results demonstrate several interesting deformation features of the new composite, which are expected to have potential applications in the future.

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