Abstract
The paper presents some numerical applications of the problems in which constitutive difficulties influence significantly the complexity of the models. In particular, the examples are focused on three domains. There are: the analysis of localization of plastic deformations in ductile materials as well as the estimation of speed of its development and fracture, biomechanical complexities for fatigue analysis of tooth implants and the analysis of spine segment and finally, the failure of brittle materials (concrete) and structures under fast explosive loading.
I appreciate the cooperation, fruitful discussions and continuous exchanging of ideas with my friends: Professors Piotr Perzyna (Institute of Fundamental Technological Research, Warsaw, Poland), Janusz Klepaczko (LPMM Metz, France), George Voyiadjis (LSU Baton Rouge, USA), Wieslaw Hedzelek (Medical University, Poznan, Poland), Adam Glema (my home Institution), Alexis Rusinek (Metz University, France), Dr Witold Kakol (my home Institution) and my PhD students Dr Marcin Wierszycki, MSc.TTomasz Jankowiak, MSc. Wojciech Sumelka and MSc. Piotr Sielicki Their influence on my understanding of the topics of constitutive complexities and this presentation can not be overestimated.
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Ćodygowski, T. (2009). Selected Constitutive Relations in Practical Computations. In: Klepaczko, J.R., Ćodygowski, T. (eds) Advances in Constitutive Relations Applied in Computer Codes. CISM International Centre for Mechanical Sciences, vol 515. Springer, Vienna. https://doi.org/10.1007/978-3-211-99709-3_4
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DOI: https://doi.org/10.1007/978-3-211-99709-3_4
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