Advances in Mechanical Engineering Research; Volume 2 by David E. Malach

By David E. Malach

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When half the area of that diagram is taken to be the fracture energy, instead of the total area, then K Ic , mentioned in [4], indeed is corrected 3/ 2 to the right value of: 467/√2 = 330 kNm , giving the first empirical verification of the theory. 77 = 539 MPa. 20) The measured value of Gc from the area under the stress-displacement curve is given in [4] to be 515 N/m. 20), giving again an empirical verification of the theory, now by the tests on the short double edge notched specimens. 6 has a vertical tangent at the top d g / d  g   .

Case c now is the real crack problem by the reversed equal forces that can be analyzed for instance by a finite element method, etc. 1). Deformations due to the normal stresses N of case c, are of lower order in a virtual work equation and should not be accounted. 2 is equal to a mode I test and Gc  GIc . 8) 38 T. A. C. M. 3. 5. 5. 8) applies. 1 resp. 5 . 8) with the measurements, showing an excellent agreement between theory and measurement. 7; η = L/h = 10 (L is distance field loading to support) and b = 79 mm.

F1 (1). 8) when:  f1 (1)  1/ n  1 1/ n 1  f1 (1)   f ' (1) or: n  f1' (1) / f1 (1), n where: f1' (1)    f1  x / x0  /   x / x0   x / x  0 1 and f1 (1)  f ( x0 ) Thus:  x f ( x)  f ( x0 ). 9) It is seen from this derivation of the power law, using only the first 2 expandedterms, that the equation only applies in a limited range of x around x0 . Using this approach on the damage equation: a  2C  sinh( )  C exp( ) gives: Fracture Mechanics of Wood and Wood-like Reinforced Polymers 31  0   a  C.

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