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A constant-thickness plate specimen of width w and

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A constant-thickness plate specimen (of width, w, and thickness, t) containing a crack has a compliance, C, given by:

C = A1 + A2 α3

Where a is the crack length, and A1 and A2 are constants.

The specimen is loaded by a cyclic load which varies from 0 (zero) to P (i.e, the stress ratio, R = 0) and the crack propagates in Mode I.

B and m are curve-fitting constants and ΔKI is the amplitude of the opening-mode stress intensity factor.

The fracture toughness is KIC , Young’s modulus is E, the yield strength is Sy and the ultimate tensile strength is Sut.

If the crack growth rate per cycle, da/dNf, is given empirically by the power law;

da/dNf = B (ΔKI ) m

Determine an expression for the number of cycles to failure, Nf if the initial crack size is a0. State any assumptions you make.

Reference no: EM13357489

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