Abstract
In order to check if the Fractal theory could be a useful tool for some quantitative descriptions of the fracture parameters, the present work studied diferent theoretical models. The possibility of using different theoretical models (e.g. the Bazant’s Size Efect Law (SEL) [1], the Modifed Size Efect Law [2, 3] and the Carpinteri’s MultiFractal Scaling Law (MFSL) [4] wich have been already confirmed for the fracture parameters of concrete specimen, and the compatibility of some of the above studied theoretical models relative to the experimental data, using certain recent procedures to study the global and local compatibility have been analysed. The fracture parameters can be considered as main quantities for computational procedures for modeling the fracture of a certain ensemble (a suddenly emerging phenomena). In the next phase, the thermoelastic generation of ultrasonic perturbations in titanium implant material coated with hidroxiapatite was analyzed (using computer simulation) so as to find similarities with material properties as fractal dimensions. The algorithm, the numerical analysis has taken into account three main physical phenomena: the absorption of electromagnetic energy in substance with heat generation; thermal difusion with electromagnetic energy based heat source and elastodynamic wave generation by thermoelastic expansion.
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Pusca, S., Toma, T. (2008). Computational Model for the Study of the Fractal Parameters Characteristic for the Surface of Titanium Dental Implants. In: Elloumi, M., Küng, J., Linial, M., Murphy, R.F., Schneider, K., Toma, C. (eds) Bioinformatics Research and Development. BIRD 2008. Communications in Computer and Information Science, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70600-7_47
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DOI: https://doi.org/10.1007/978-3-540-70600-7_47
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