Two tools for the science of material effort : – a review paper

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.

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Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).

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The paper was presented at the XIIIth conference PLASTMET’2023, Łańcut Zamek, 7-10 October, 2023, in a session in honour of Prof. Ryszard B. Pęcherski organized by prof. Romana Śliwa and prof. Katarzyna Kowalczyk-Gajewska.