Abstract
Based on an one-dimensional model a Ginzburg-Landau theory of the martensitic phase transition in shape-memory alloys is adopted. Order parameter is the shear strain. The free energy density is an even polynomial of the 6th degree in the shear strain and depends quadratically on the strain gradient. The non-linear equation of adiabatic motion shows, in an infinite system, solitary wave solutions of two types. Soliton-like solutions may be interpreted as nuclei of one phase in a matrix of the other one. In this paper the second type of solutions, namely kinks are dealt with. Kink solutions represent domain walls either between high temperature phase and low temperature phase or between different variants of the low temperature phase. Without external forces the kinks occur only at rest. Driven by external forces the domain wall motion obeys a Rankine-Hugoniot equation. In the stressstrain diagram a generalized Maxwell equal area construction applies.
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