The Simulation and Modelling of the Crack Path of Biomaterials

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Analysis of issues related to the cracking process of materials requires a quantitative description of the problem which frequently, due to its complexity, is difficult or impossible to solve. In a number of cases, the deficiencies of a quantitative description made using classical methods are compensated for by such unconventional tools as percolation, which requires creating an appropriate model. The aim of the study was to use a three-dimensional minimal spanning tree (3DMST) to create a model of the crack path, based on an example of a metallic biomaterial. For this purpose, a stereometric file, obtained as a result of measuring its fracture surface, was applied.

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141-144

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January 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] A. Neimitz: Crack mechanics. PWN, Warszawa (1998).

Google Scholar

[2] P. Pawlus: Surface topography. Oficyna Wydawnicza Politechniki Rezszowskiej, Rzeszow (2001).

Google Scholar

[3] R. Van de Weygaert, B.J.T. Jones, V.J. Martinez: The minimal spanning tree as an estimator for generalized dimensions. Physics Letters A. Vol. 169 (1992), pp.145-150.

DOI: 10.1016/0375-9601(92)90584-9

Google Scholar

[4] S. Stach: Methodology of examining fracture surfaces of biomaterials by means of modelling and multifractal analysis. in: Advances in Soft Computing, Book: Information Technologies in Biomedicine edited by E. Pietka and J. Kawa, Springer Berlin / Heidelberg (2010).

DOI: 10.1007/978-3-642-13105-9_43

Google Scholar

[5] D.W. Heerman: Computer simulation in phisics. Wydawnictwa Naukowo Techniczne, Warszawa (2007).

Google Scholar

[6] D. Smith: Engineering Computation with MATLAB. Addison Wesley Publishing Company (2009).

Google Scholar

[7] B. Bollobás, O. Riordan: Percolation. Cambridge University Press (2006).

Google Scholar

[8] J. Wołoszyn: Software for percolation phenomena research in chaotic systems. Zeszyty Naukowe 724, Akademia Ekonomiczna w Krakowie (2006).

Google Scholar

[9] S. Weisman: Metals for implantation in the Human Body. Ann. N. Y. Sci. Vol. 1 (1986), pp.80-101.

Google Scholar

[10] D. Austin: Percolation: Slipping through the Cracks. American Mathematical Society (2008).

Google Scholar