A previously established micromechanical model whose capability to analyze and
predict the behavior of thermoinelastic fibrous composites with one-way
thermomechanical coupling, in which the temperature is prescribed in advance, was
verified. This model is extended herein to incorporate two-way thermomechanical
coupling effects in thermoinelastic composites. As a result of this generalization,
the temperature which is coupled to the mechanical effects, is governed by
the energy equation and is induced into the composite’s constituents as a
result of the application of mechanical loadings. The model is applied to
predict the behavior of composites that consist of shape memory alloy fibers
embedded in metallic and polymeric matrices. Results exhibit the response of
the composites to various types of loading, and the effect of the two-way
thermomechanical coupling that induces temperature deviations from reference
temperatures at which shape memory and pseudoelasticity effects take place at the
fibers.
