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(11) and the ASTM standard E399 that measures plane-strain fracture toughness. The equation used by the above ASTM standard to calculate the crack length is [1](20) a/W=0.99973.95U+2.982U 2 3.214U 3 +51.52U 4 113.0U 5 where(21) U=1/{1+[(ABV m /P)(4W/S)] 1/2} and Vm is the COD.
Regrouping gives the critical crack size for a given applied tensile stress: SCR = NCR/Y(c)0.5. The critical crack size, the largest flaw survives for a given applied stress is: Max=(NCR/Is)2. Once the critical stress is reached, fast fracture occurs with the upper limit of the crack tip velocity the speed of sound.
Note that the stress concentration factor is a function of the geometry of a crack or notch, and not of its size. As the radius of curvature approaches zero, like the tip of a sharp crack, the maximum stress approaches infinity and therefore stress concentration factors cannot be used for a crack.
Crack growth stability is called the resistance curve, or R-curve. For brittle materials, is a constant value equal to. For other materials, increases with increasing.
In addition, crack length can also be measured by using an optical microscope, an optical grid technology (Gucci et al., 1972, Must et al., 1976, James et al., 1981), an acoustic emission method (Gautama et al., 1994) and an ultrasonic method (Ahumada et al., 1983).
Crack opening on the surface of concrete is normally measured using a crack gauge. Depending on the opening of the cracks on the surface, cracks can be described (as tiny as hairline, or cracks with a few millimeters opening). However, this procedure does not provide enough information about the depth of these cracks.
To measure a fresh crack, measure the dimension X at the surface of the concrete. To measure a weathered crack, measure the dimension Z if it's not more than 18 inches deep. Dimension Y on a weathered crack exaggerates crack width.
The critical crack length is a term used to describe the defects in materials. It is the length of the crack that grows after the fracture occurs rapidly at the same stress.
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