Engineering Transactions, 45, 1, pp. 103–118, 1997

On Interaction Between Mode III Crack and a Nonideal Bimaterial Interface

G.S. Mishuris
Technical University of Rzeszów

Behaviour of a stress field in a neighbourhood of a crack tip placed near a nonideal interface is investigated. Along the interface tractions are continuous, but displacements are assumed to be discontinuous, and proportional to the tractions. Coefficient of proportionality depends on a geometrical form of the interfacial zone.
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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


C. ATKINSON, On the stress intensity factor associated with cracks interacting with an interface between two elastic media, Int. J. Engng. Sci., 13, 489–504, 1975.

C. ATKINSON and H. JAVAHERIAN, Evaluation of stress intensity factors associated with bimaterial cracks, J. Inst. Maths Applics, 26, 235–258, 1980.

G.P. CHEREPANOV, Mechanics of brittle fracture, Mc Graw-Hill, New York 1979.

D.S. DUGDALE, Yielding of steel sheets containing slits, J. Mech. Phys. Solids, 37, 197–208, 1960.

Interlaminar response of composite materials, N.J. PAGANO [Ed.], Composite Materials Series, 5, Elsevier, Amsterdam-Oxford-New York-Tokyo 1989.

M.YA. LEONOV and V.V. PANASYUK, Evolution of small cracks in solid bodies [in Ukrainian], Appl. Mech., 5, 391–101, 1959.

G.S. MISHURIS, On the interaction of a turnpike crack with nonideal bimaterial interfaces in a layered composite [in Russian, translated into English], Mechanics of Composite Materials, 30, 6, 591–610, 1994.

G.S. MISHURIS and Z.S. OLESIAK, On boundary problems in fracture of elastic covaposites, Euro. J. Appl. Math., 6, 591–610, 1995.

G.S. MISHURIS, Influence of interfacial models on a stress field near a crack terminating at a bimaterial interface, Int. J. Solids Structures, 34, 1, 31–46, 1997.

G.S. MISHURIS, Stress singularity as a function of a model of nonideal bimaterial interface (Mode III), Int. J. Solids Structures [in press].

V.V. NOVOZHYLOV, On necessary and sufficient criterion on brittle fracture, Prikl. Mat. Mech. (PMM), 33, 212–216, 1969.

A. SEWERYN, Brittle fracture criterion for structures with sharp notches, Engng. Fract. Mech., 47, 673–681, 1994.

A. SEWERYN and Z. MRÓZ, A non-local stress failure conditions for structural elements under multiaxial loading, Engng. Fract. Mech., 51, 955–973, 1995.

A.A. WELLS, Critical tip opening displacement as fracture criterion, [in:] Proc. Crack Propagation Symp. Granfield, 1, 210–221, 1961.

DOI: 10.24423/engtrans.684.1997