On the Correlation between the Plastic Deformation and the Fractal Dimension of the Stainless Steel 304 Mesostructure
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On the Correlation between the Plastic Deformation and the Fractal Dimension of the Stainless Steel 304 Mesostructure F. Rivero-Briseño, J. D. Muñoz-Andrade , M. Aguilar-Sánchez, A. Ramírez- Rojas Universidad Autónoma Metropolitana, Ave. San Pablo 180, Reynosa Tamaulipas, México D.F. Email: [email protected]
ABSTRACT In this work we study the elastic-plastic transition of the spatially extended polycrystalline austenitic stainless steel 304 (SEPC-ASS-304) advanced materials during an irreversible deformation process. Such transition was characterized by means of the fractal dimension computed of a sequence of digital images of the mesostructure of the SEPC-ASS-304 surface, obtained during the elastic-plastic transition. Our results show a correlation between the fractal dimension and the evolution of the granular flow during the deformation of such advanced material. Keywords: Fractal, Crystal, Grain Size, Polycrystal. INTRODUCTION Physically, stainless steels are spatially extended polycrystalline systems (SEPCS) where the existence of crystal lattice imperfections modified their internal state. Consequently, the crystal lattice imperfections are distributed over a periodic potential field and a work must be done to create or displace any crystal lattice imperfection to a new relative position. In this way, it is well accepted that the mechanical properties of stainless steels are controlled by the microstructure parameters. On the other hand, it is well established that the mapping of the granular flow during irreversible deformation processes of SEPCS is essential to establish an appropriate model to describe the phenomenology and mechanics of granular flow during plastic deformation. Also, it has been shown experimentally that such phenomenology and the dynamics of the granular flow observed during plastic deformation of SEPCS describes hyperbolic trajectories, which are assisted by the dynamics of cellular dislocations [1-3]. Additionally, it has as well been observed that several advanced materials exhibit fractal properties, therefore this concept has been used to characterize the elastic-plastic transition, where some authors have focused on the elastic-plastic transition of random patterns of flat materials [4, 6]. Consequently, in this scenario, some experimental results reported in the past had been analyzed in order to establish a proper interpretation on the correlation between the plastic deformation and the fractal dimension of the spatially extended polycrystalline austenitic stainless steel 304 (SEPC-ASS-304) mesostructure [1-3].
Mater. Res. Soc. Symp. Proc. Vol. 1275 © Materials Research Society
EXPERIMENTAL The material used for this research was an SEPC-ASS-304 flat tension specimen. The preparation of the surface of the tension specimen was performed by current metallographic technique, in order to reveal the mesostructure before the tension test; we performed grinding, polishing and electrochemical attack. The mesostructure of SEPC-ASS-304 was revealing in two stages of electrochemical
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