Two tools for the science of material effort
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1
Faculty of Technical Sciences, University of Warmia and Mazury, Olsztyn, Poland
2
Department of Theory of Continuous Media and Nanostructures, Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland
3
Institute of Fluid-Flow Machinery, Energy Conversion Department, Polish Academy of Sciences, Gdańsk, Poland
4
Institute of Fluid-Flow Machinery, Energy Conversion Department, Polish Academy of Sciences, Gdańsk, Poland
Submission date: 2023-11-23
Final revision date: 2024-06-04
Acceptance date: 2024-10-08
Online publication date: 2024-11-06
Corresponding author
Zdzisław Nowak
Department of Theory of Continuous Media and Nanostructures, Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawinskiego 5b, 02-106, Warsaw, Poland
Journal of Theoretical and Applied Mechanics 2024;62(4):799-826
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ABSTRACT
This paper discusses the science of material effort from the historical viewpoint. Two general scientific tools: the geometrical descriptive method of Mohr, and the energetic method of Huber are compared and evaluated from the very beginning. Three appropriate stress
invariants are taken into account: stress intensity, stress triaxiality and stress shearness. Especially, much attention is devoted to explanation of the stress shearness invariant, which aims at describing the Lode parameter in a more analytical manner. Two different tools of finding a proper yield surface which contains the above mentioned three stress invariants are discussed in the literature perspective. In particular, the three-parameter yield surface, called the Burzyński-Pęcherski hypothesis is researched and explained from this new point of view.