TY - GEN

T1 - Penny-Shaped Equilibrium Cracks in Aligned Composites

AU - Grekov, M.A.

AU - Morozov, N.F.

AU - Ponikarov, N. V.

PY - 2003

Y1 - 2003

N2 - A model is suggested for a partially bridged penny-shaped crack (axisymmetric problem) in a brittle aligned material like for a composite ceramic. Two different fracture criteria for its components (matrix and fiber) are accepted. On the basis of an analytical solution for a homogeneous anisotropic body, a force-separation law, and Novozhilov’s brittle fracture criterion, the variation intervals of a diameter of an equilibrium crack and the width of a bridged crack part are estimated. It is shown that, like a fracture toughness, the critical width of the bridged crack part can be accepted as a constant parameter for a composite material reinforced by fibers. The value of this parameter for a penny-shaped crack is the same as for a crack under plane deformation. For two types of ceramics the variation intervals of a bridged part of a critical crack are found, and a dependence of an ultimate load upon the size of the crack in 2-D and axisymmetric problems is presented.

AB - A model is suggested for a partially bridged penny-shaped crack (axisymmetric problem) in a brittle aligned material like for a composite ceramic. Two different fracture criteria for its components (matrix and fiber) are accepted. On the basis of an analytical solution for a homogeneous anisotropic body, a force-separation law, and Novozhilov’s brittle fracture criterion, the variation intervals of a diameter of an equilibrium crack and the width of a bridged crack part are estimated. It is shown that, like a fracture toughness, the critical width of the bridged crack part can be accepted as a constant parameter for a composite material reinforced by fibers. The value of this parameter for a penny-shaped crack is the same as for a crack under plane deformation. For two types of ceramics the variation intervals of a bridged part of a critical crack are found, and a dependence of an ultimate load upon the size of the crack in 2-D and axisymmetric problems is presented.

UR - https://link.springer.com/chapter/10.1007/978-94-010-0109-0_18

M3 - Conference contribution

SN - 9781402012839

T3 - Solid Mechanics and Its Applications

SP - 203

EP - 216

BT - IUTAM Symposium on Field Analyses for Determination of Material Parameters - Experimental and Numerical Aspects

PB - Springer Nature

T2 - IUTAM Symposium on Field Analyses for Determination of Material Parameters — Experimental and Numerical Aspects

Y2 - 31 July 2000 through 4 August 2000

ER -