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By David E. Malach

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Extra info for Advances in Mechanical Engineering Research; Volume 2

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28), discussed in Section 3. g. 3), is discussed below. g. 5) E c c , with E  E0  t  n and rp  a  t . g. K Ic ,  y , rp and E0 to obtain an equation in E, t,  c and  c . 5) thus is not a new derived crack rate equation but an alternative writing of the four relations. 2 of [1] showing comparable parameter manipulations of many critical parameter values which can not be applied independently because they are part of the same failure condition. The models further are based on linear viscoelasticitywhich does not exist for polymers.

For connections, plastic deformation in the last case will not yet occur because it is coupled with crack extension. When the dowels of the joint are pressed into the wood, the crack opening increases and thus also crack extension. 11), that when flow occurs, the total applied energy Vδ is used for plastic deformation. 10), and the at the plastic flow coupled crack extension will cause a decrease of the elastic energy. 13) V =(V1   2 ) / 2  V (  1 )  Es where V  2 / 2 is the decrease of the elastic energy by the part of crack extension due to the plastic deformation.

C. M. 7) and can be given in the power of a function: f ( x)  f1 ( x / x0 )  f ( x)  f ( x0 )   f ( x / x )   1/ n n 1 0 and expanded into the row: x  x0 . ( x  x0 ) 2 . f '( x0 )  f ''( x0 )  ....... 1! 2! giving: n    x x  x0 1 1/ n 1/ n 1 f ( x)   f1 (1)   f1 (1) .   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 ).

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