Fracture Mechanics Online Class

SIF Computation >SIF Handbooks (LEMF)

Picture IV.13: Centered crack in a finite plate.

Solutions of crack problems for plates of finite dimensions are tabulated in handbooks. The solutions are obtained by different means (analytical, numerical, ...) for different crack lengths.

As an example we report here a method for the problem of a centered crack of size $2a$ loaded in mode I in a plate of width $2W$, see Picture IV.13, under the condition $h/W>3$. The resolution method reads

Some of the possible solutions for the function $f\left(\tfrac{a}{W}\right)$ are tabulated here below

Picture IV.14: Numerical results based on Laurent seriesexpension (Isida, 1973)