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1

Criterion for crack initiation from notch located at the interface of bi-material structure

Mieczkowski Grzegorz

Eksploatacja i Niezawodność

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2019

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Vol. 21, no. 2

301--310

EN

The fracture process of bi-material structure with the notch was analysed in this work. For fracture prediction, a criterion based on the Theory of Critical Distances was used. Under analysis were elements made of aluminium alloy and polymer combination (with a various structural notch-tip angle), which then were subjected to the three-point bending test. Values of critical loads resulting from the used hypothesis were compared with values obtained from the experiment. Validation of the selected criterion required defining a qualitative and quantitative description of singular stress fields present around the structural notch-tip area. Therefore, such solutions were obtained and methodology of their determining was discussed.

PL

W pracy przedstawiono wyniki badań dotyczących pękania struktury bi-materiałowej z karbem usytuowanym na interfejsie. Do prognozowania inicjacji procesu pękania zastosowano kryterium oparte na punktowej teorii krytycznych dystansów. Analizowano elementy wykonane ze stopu aluminium i polimerów (PC, PMMA), które poddane były trójpunktowemu zginaniu. Wartości obciążeń krytycznych wynikających z wykorzystanej hipotezy porównano z wartościami uzyskanymi z eksperymentu. Walidacja wybranego kryterium wymagała określania jakościowego i ilościowego opisu osobliwych pól naprężeń, występujących w okolicy wierzchołkowej karbu strukturalnego. W związku z tym, uzyskano takie rozwiązania i omówiono metodykę ich otrzymywania.

2

Antiplane deformation of a bimaterial containing an interfacial crack with the account of friction 2. Repeating and cyclic loading

Sulym H., Piskozub L., Piskozub Y., Pasternak I.

Acta Mechanica et Automatica

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2015

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Vol. 9, no. 3

178--184

EN

The paper presents the exact solution of the antiplane problem for an inhomogeneous bimaterial with the interface crack exposed to the normal load and cyclic loading by a concentrated force in the longitudinal direction. Using discontinuity function method the problem is reduced to the solution of singular integral equations for the displacement and stress discontinuities at the domains with sliding friction. The paper provides the analysis of the effect of friction and loading parameters on the size of these zones. Hysteretic behaviour of the stress and displacement discontinuities in these domains is observed.

3

The compliance approach for analyzing bimaterial interface cracks

Abdel-Fattah H., Hamoush S. A.

Computer Assisted Mechanics and Engineering Sciences

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2004

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Vol. 11, No. 4

275-281

EN

A numerical method is presented for analyzing the mixed mode interface crack between two dissimilar isotropic materials. A simple and efficient solution procedure is developed based on the finite element method and the compliance approach in conjunction with the fundamental relations in fracture mechanics. The procedure makes it possible to separate the Mode I and Mode II stress intensity factors KI and KII respectively for an interfacial crack in bi-material media under different loading conditions. The strain energy release rate is first computed, then using the compliance method and the known auxiliary solutions, the values for KI and KII are evaluated. The procedure is investigated for different crack extensions. The formulations used for computing the strain energy release rate and the stress intensity factors are presented. The method converges to accurate solutions for small crack extensions. A numerical example is presented to demonstrate the accuracy of the proposed model.

4

Partial material replacement without stress redistribution

Matuszak A.

Archives of Mechanics

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2002

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Vol. 54, nr 1

35-54

EN

A partial material replacement causes stress redistribution in comparison to the original structure made of a homogeneous material. The article presents a possibility to design a geometry of the replacement which keeps the state of stress unchanged. It is shown that for a class of two-dimensional configurations, it is possible to find a solution of this problem. Conditions for the existence of an appropriate geometry are given. A method to obtain the shape of the replaced part is proposed.