Mathematical foundations of limit criterion for anisotropic materials

• Autorzy: Ostrowska-Maciejewska J. , Szeptyński P. , Pęcherski R. B.

Identyfikatory

DOI

10.2478/amm-2013-0155

Warianty tytułu

PL

Matematyczne podstawy warunku granicznego dla materiałów anizotropowych

• Języki publikacji: EN

Abstrakty

EN

In the paper a new proposition of limit state criteria for anisotropic solids exhibiting different strengths at tension and compression is presented. The proposition is based on the concept of energetically orthogonal decompositions of stress state introduced by Rychlewski. The concept of stress state dependent parameters describing the influence of certain stress modes on the total measure of material effort was firstly presented by Burzynski. The both concepts are reviewed in the paper. General formulation of a new limit criterion as well as its specification for certain elastic symmetries is given. It is compared with some of the other known limit criteria for anisotropic solids. General methodology of acquiring necessary data for the criterion specification is presented. The ideas of energetic and limit state orthogonality are discussed - their application in representation of the quadratic forms of energy and limit state criterion as a sum of square terms is shown.

PL

Artykuł przedstawia nową propozycję kryterium stanu granicznego dla anizotropowych ciał stałych wykazujących różną wytrzymałość przy rozciąganiu i ściskaniu. Propozycja ta opiera się na koncepcji energetycznie ortogonalnych rozkładów stanu naprężenia zaproponowanej przez Rychlewskiego. Pomysł wykorzystania zależnych od stanu naprężenia parametrów określających wpływ konkretnych form naprężenia na całkowitą miarę wytężenia materiału po raz pierwszy został przedstawiony przez Burzyńskiego. W pracy omówione są obydwie koncepcje. Przedstawione jest ogólne sformułowanie nowego warunku granicznego, jak również jego specyfikacja dla wybranych symetrii sprężystych. Kryterium to zostało porównane z niektórymi innymi spośród znanych kryteriów granicznych dla ciał anizotropowych. Przedstawiono ogólną metodologię pozyskiwania danych wymaganych do specyfikacji kryterium.

Słowa kluczowe

EN

anisotropy; strength hypothesis; material effort; yield condition; plastic potential; strength differential effect; elasticity; plasticity

PL

anizotropia; stan naprężenia; wytężenie materiału; wytrzymałość; warunek graniczny; elastyczność; plastyczność

• Wydawca: Institute of Metallurgy and Materials Science of Polish Academy of Sciences ; Committee of Materials Engineering and Metallurgy of Polish Academy of Sciences
• Czasopismo: Archives of Metallurgy and Materials
• Rocznik: 2013
• Tom: Vol. 58, iss. 4
• Strony: 1223--1235
• Opis fizyczny: Bibliogr. 62 poz., wzory

Twórcy

autor

Ostrowska-Maciejewska J.

• Institute ff Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B, 02-106 Warsaw, Poland

autor

Szeptyński P.

• AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Department of the Strength and Fatigue of Materials and Structures, al. A. Mickiewicza 30, 30-059 Kraków, Poland

autor

Pęcherski R. B.

• Institute ff Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B, 02-106 Warsaw, Poland

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