Wave propagation in shape memory alloy rods under impulsive loads Academic Article uri icon

abstract

  • A dynamic analysis is given of the wave propagation in a polycrystalline shape memory alloy semi-infinite rod subject to an impulsive load described by a rectangular loading function. This is a continuation of the previous study for which the impact load is described by a step loading function, and for which the rod undergoes martensitic phase transformation only. In the presence of unloading, the rod also undergoes reverse transformation from martensite to austenite. A maximum internal dissipation criterion is proposed to select a unique dynamic solution, in which an elastic unloading wave front precedes the reverse transformation wave front. This elastic unloading wave will meet with the forward transformation wave at a later time, leading to a sequence of wave encounters and progressively more complicated profiles of the state variables. The asymptotic behaviour of the solution and the energy dissipation are discussed.

published proceedings

  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

author list (cited authors)

  • Chen, Y., & Lagoudas, D. C

citation count

  • 6

complete list of authors

  • Chen, Yi-Chao||Lagoudas, Dimitris C

publication date

  • September 2005