On some approaches to the stress-state determination in layered cracked plates

• Autorzy: Delyavsky M. , Opanasovich V. , Olejniczak M.
• Języki publikacji: EN

Abstrakty

EN

A survey of approaches to determination of the stress-state in layered plates with the cracks located symmetrically about their thickeness is presented. The plate is subject to a complex biaxial loading; i.e., tension - shear or bending - torsion, while the crack of length 2a is unloaded. The plate layers can be homogeneous or non-homogeneous, rigid to shear or yielding due to shear. To study such plates the following mathematical models are employed: the plates rigid to shear are considered within the framework of classical plate theory, while those yielding due to shear are within the scope of Timoshenko's theory. The asymptotic formulae for stress distribution near the crack tip in each layer of the plate are obtained; the limiting equilibrium of layered plate having a transverse crack is studied. The results presented can be applied to strength evaluation of layered plates within the framework of fracture mechanics. The paper presents the results obtained by the authors recently and proposes some generalisation.

PL

Analiza stanu naprężeń w płytach warstwowych ze szczelinami W pracy przeprowadza się analizę stanu naprężeń w płytach warstwowych ze szczelinami poddanych dwuosiowemu rozciąganiu lub zginaniu stosując pewną metodę uśredniającą. Wykazuje się, że przy rozciąganiu można oprzeć się na klasycznej teorii płyt warstwowych, zaś w przypadku zginania zginania konieczne jest stosowanie teorii Timoshenki. Wyprowadzono asymptotyczne wzory rozkładu naprężeń w pobliżu wierzchołka szczeliny w każdej warstwie płyty. Wzory te zależą od modułów efektywnych płyty warstwowej oraz od uśrednionego współczynnika intensywności naprężeń. Przedstawiony model zawiera energetyczny test powiększania się szczeliny przy dwuosiowym rozciąganiu płyty.

Słowa kluczowe

EN

layered plates; crack; stress distribution; failure

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2000
• Tom: Vol. 38 nr 4
• Strony: 819--832
• Opis fizyczny: Bibliogr. 19 poz., rys.

Twórcy

autor

Delyavsky M.

• Faculty of Environmental Civil Engineering, University of Technology and Agriculture, Bydgoszcz

autor

Opanasovich V.

• Department of Mechanics and Mathematics University of Lviv, Ukraine

autor

Olejniczak M.

• Faculty of Environmental Civil Engineering, University of Technology and Agriculture, Bydgoszcz

Bibliografia

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