Wyniki wyszukiwania - BazTech

1

Antiplane deformation of a bimaterial with thin interfacial nonlinear elastic inclusion

Sulym H., Piskozub Y., Polanski J.

Acta Mechanica et Automatica

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2018

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Vol. 12, no. 3

190--195

EN

The problem of longitudinal shear of bimaterial with thin nonlinear elastic inclusion at the interface of matrix materials is considered. Solution of the problem is constructed using the boundary value problem of combining analytical functions and jump functions method. The model of the thin inclusion with nonlinear resilient parameters is built. Solution of the problem is reduced to a system of singular integral equations with variable coefficients. The convergent iterative method for solving such a system is offered for various nonlinear strain models, including Ramberg-Osgood law. Numerical calculations are carried out for different values of non-linearity characteristic parameters for the inclusion material. Their parameters are analysed for the tensely-deformed matrix under loading a uniformly distributed shear stresses and for a balanced system of the concentrated forces.

2

Analytical determination of the order of stress field singularity in some configurations of multiwedge systems for the case of antiplane deformation

Makhorkin M., Makhorkina T.

ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes

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2017

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Vol. 6, No 3

45--51

EN

In this paper, the possibility of constructing the analytical expressions to determine the order of the stress singularities in multi-wedge composites of the most prevalent geometric configurations for the case of antiplane deformation is considered. Particularly, the analytical solutions of the corresponding characteristic equations are constructed for three-wedge systems whose components have such geometric characteristics [wzór] is а half-plane and attached to it wedges with the such apical angles: (in the presence and absence of a slit) [wzór] is а half-plane and attached to it wedges with such apical angles [wzór] (in the presence and absence of the slit with outlet angle to the linear materials interface) [wzór] is а half-plane and attached to it wedges with such apical angles [wzór]. The analytical solutions of characteristic equations for composite wedges composed of [wzór] elements with identical apical angles are constructed as well. Additional studies, the results of which have not been included in the materials of the article due to their inconvenience, indicate to that there are analytical solutions of the characteristic equation for a composite of this type with more elements. The obtained results make it possible to study the stress-strain state in multi-wedge systems of the considered configurations not restricting ourselves only to the vicinity of the wedges convergence point. In addition, the use of analytical solutions of characteristic equations in systems with a large number of wedges having the same apical angles gives the additional possibilities for analysis the angularly functionally graded materials.

3

Antiplane deformation of a bimaterial containing an interfacial crack with the account of friction. [P.] 1, Single 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. 2

115--121

EN

The paper presents the exact analytic solution to the antiplane problem for a non-homogeneous bimaterial medium containing closed interfacial cracks, which faces can move relatively to each other with dry friction. The medium is subjected to the action of normal and arbitrary single loading in a longitudinal direction. Based on the discontinuity function method the problem is reduced to the solution of the system of singular integral-differential equations for stress and displacement discontinuities at the possible slippage zones. Influence of loading parameters and the effects of friction on the sizes of these zones is analyzed. The stress intensity factors, stress and displacement discontinuities, energy dissipation are determined for several characteristic types of external loading.

4

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.

5

Antiplane deformation of isotropic body witha periodic system of thin rectilinear inclusions

Opanasovich V., Porochovsky V., Delyavsky M.

Journal of Theoretical and Applied Mechanics

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1999

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nr 1

65-79

EN

A new model of thin elastic rectilinear inclusion has been constructed. An approach to the stress-strain state analysis in an isotropic plane reinforced by a periodic system of thin elastic inclusions has been suggested. The formulae for determination of the effective modulus of composite material and stress intensity factors at the inclusion tip depending on volumetric contents of the reinforcing elements and their elastic characteristic have been obtained. Numerical analysis of the problem for various geometrical and mechanical parameters of the composite has been presented. The effect of the ratio between inclusion and matrix elastic modul on the values of stress intensity factors has been studied as well.

PL

W pracy przedstawiono metodę modelowania stanu naprężeń i odkształceń w ciele izotropowym wzmocnionym periodycznym układem cienkich sprężystych inkluzji. Otrzymano równania określające moduły efektywne kompozytu oraz współczynniki intensywności naprężeń w wierzchołkach inkluzji. Przeprowadzono analizę współczynników intensywności naprężeń w zależności od efektywnych modułów.