Fractal Model of the Cold Martensitic Transformation in Steels 2001-01-4058
The paper proposes an approach employing fractal geometry to describe growing martensitic phase in austenitic steel. Inside macroscopic volume (specimen), the distribution of martensite is depicted by measure and the scaling properties of this measure describe the important, long scale changes of materials characteristics. The initial postulate consists of specific form of free energy. Besides the uniform material part, it contains also terms coming from each exact-dimensional measure contributing to dimension decomposition of the measure depicting martensite. The final macroscopic constitutive equation becomes some integral over “partial” ones. Various models are studied. Tests were carried for austenitic steel under single- and multi- axial stress states.