O pewnych zagadnieniach mechaniki pękania ciał z ostrymi i zaokrąglonymi karbami V

Savruk, M.; Kazberuk, A.

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Tytuł artykułu

O pewnych zagadnieniach mechaniki pękania ciał z ostrymi i zaokrąglonymi karbami V

Autorzy

Savruk M. , Kazberuk A.

Treść / Zawartość

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httpwww_actawm_pb_edu_plvol4no3savrukkazberuk.pdf

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Warianty tytułu

On selected fracture mechanics problems for bodies with sharp and rounded V-notches

Języki publikacji

Abstrakty

Przedstawiono przegląd badań z zakresu mechaniki pękania ciał stałych z karbami typu V. Część pierwszą poświęcono metodom rozwiązywania płaskich zadań teorii sprężystości dla obszarów z punktami kątowymi na konturach brzegowych. Zwrócono szczególną uwagę na opracowane przez Autorów jednolite podejście do rozwiązywania zagadnień koncentracji naprężeń w otoczeniu karbów ostrych i zaokrąglonych w obszarach sprężystych. W drugiej części przeanalizowano kryteria pękania ciał z karbami. Na podstawie rozwiązania zagadnienia sprężysto-plastycznego w ramach modelu pasm plastyczności, nieskończonego zaokrąglonego karbu w płaszczyźnie, zaproponowano nowe odkształceniowe kryterium pękania ciał z takimi karbami.

The review of research in the field of fracture mechanics of solids with V-shaped notches was presented. First, we analyzed methods for solving two-dimensional problems of elasticity for domains with angular points. We considered numerical methods of finite and boundary elements, boundary collocation and method of singular integral equations. Particular attention was paid to a unified approach to solving problems of stress concentration near the sharp and rounded V-notches. This approach is based on applying the method of singular integral equations for elastic domains with rounded corners, i.e. the areas with a smooth border. Using modern computers and new methods of calculating quasi-singular integrals allowed obtaining solutions of problems for very small radii of curvature at the notch apex. Applying limit transition we found the stress intensity factors in sharp V-notch vertices. Some known and new results were obtained by this approach. Then, we considered the fracture criteria of solids with notches. Based on the solution of the problem of rounded V-notch with plastic strip at top a new deformation fracture criterion was proposed.

Słowa kluczowe

mechanika pękania ciało stałe karb teoria sprężystości

fracture mechanics solid body notch theory of elasticity

Wydawca

Oficyna Wydawnicza Politechniki Białostockiej

Czasopismo

Acta Mechanica et Automatica

Rocznik

2010

Tom

Vol. 4, no. 3

Strony

113--123

Opis fizyczny

Bibliogr. 84 poz., Wykr.

Twórcy

autor

Savruk M.

autor

Kazberuk A.

Bibliografia

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