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EN
The present work concerns the description of the yield state of biodegradable materials. As examples, biodegradable polymers are chosen – cornpole CRP-M2, starch fatty acid ester, and PLA/PBAT, poly(lactic acid) (PLA) blended with poly(butylene adipate/terephthalate) (PBAT) [1, 2]. These biodegradable, plant-derived bioplastics are a promising alternative to petroleum-based plastics. To describe the onset of plasticity in the bioplastics under discussion, Burzyński ’s hypothesis of material effort has been applied [3, 4]. The applied criteria account for the strength differential effect and for the shear correction resulting from the difference between experimental and theoretical values obtained as a result of the Huber-Mises approach [5, 6]. In general, these properties of yield state are characteristic for polymers. The description of yield state for bioplastics is an issue that has hardly been investigated, which illustrates the novel nature of this paper where this topic is discussed.
EN
The aim of the paper is to propose an extension of the Burzyński hypothesis of material effort to account for the influence of the third invariant of stress tensor deviator. In the proposed formulation the contribution of the density of elastic energy of distortion in material effort is controlled by Lode angle. The resulted yield condition is analyzed and possible applications and comparison with the results known in the literature are discussed.
PL
Celem pracy jest propozycja rozszerzenia hipotezy wytężenia Burzyńskiego dla uwzględnienia wpływu trzeciego niezmiennika dewiatora tensora naprężenia. W proponowanym sformułowaniu udział gęstości sprężystej energii odkształcenia postaciowego jest kontrolowany przez funkcję zależną od kąta Lodego. Wyprowadzony warunek plastyczności porównano ze znanymi wynikami z literatury oraz przedyskutowano jego możliwe zastosowania.
EN
The paper contains a short presentation of main idea of energy-based hypothesis of material effort proposed by Burzyński with discussion of the resulting failure criteria. Some examples illustrating applications of these criteria are discussed and visualizations of limit surfaces in the space of principal stresses are presented.
PL
Praca zawiera krótką prezentację głównej idei energetycznej hipotezy wytężenia zaproponowanej przez Burzyńskiego wraz z dyskusją wynikających z niej kryteriów wytrzymałości. Przedstawiono kilka przykładów zastosowań tych kryteriów wraz z wizualizacją granicznych powierzchni w przestrzeni naprężeń głównych.
EN
The main idea of energy-based hypothesis of material effort proposed by Burzyński is briefly presented and the resulting failure criteria are discussed. Sonic examples, based on the own studies, which depict applications of these criteria are discussed and visualizations of limit surfaces in the spacce of principal stresses are presented.
5
Content available remote Burzynski yield condition vis-a-vis the related studies reported in the literature
EN
The paper is written in accompaniment of the publication of English translation of W. Burzyński's paper, which deals with the yield criterion for materials revealing the sensitivity of yield strength to pressure derived by W. Burzyński during preparation of his doctor thesis in 1927]. More recently the dependence of yield strength on pressure is related to the so-called strength differential (SD) effect, i.e. asymmetry of elastic range, cf. e.g. Therefore, the original Burzyński's formulation of yield condition remains actual and acquires increasing significance. The position of Burzyński's energy-based approach in the literature is reported and his main achievement in this field concerning the recent studies is discussed.
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