By David E. Malach
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Additional info for Advances in Mechanical Engineering Research; Volume 2
Also the theoretical elastic elliptic crack opening displacement of c (2 c) / E is far above the Dugdale value. The Dugdale model thus is a 2 model according to the equilibrium method, based on a chosen, allowable equilibrium system, providing however a too low and thus rejectable lower bound with respect to the theoretical description of Section 2. The same applies for the Hillerborg model which is not based on a constant closing stress f , but on closing stresses proportional to the softening curve.
99, depending on the stability of the test. 3 theoretically explained Wuequation, with a cut off by the line: 2 Y . 3) This equation contains no hardening constants and thus is the critical distortional energy equation for this case. 1) when it wrongly is assumed that the compression and tension strength are equal for wood and orthotropic materials. 3. 2, adaption of the energy release equation is necessary. 5) predicts a too low shear strength. This already was noticed by Griffith. 3 shows a two times higher shear strength of the isotropic matrix than according to the energy method.
6) which thus also applies for notched beams and for end-joints and verifies the lower bound of the strength, predicted by the theory of . This also indicates that only work by shear stresses contributes to fracture. 6(1 – α)α and also that β is about proportional to α and is of the same order. 6) shows that the higher value of the end joint is Fracture Mechanics of Wood and Wood-like Reinforced Polymers 43 determining for this definition of the strength and the same design rules as for notches are possible for joints when not the joint but splitting is determining.