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By Alrick L Smith (Eds.)

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In cementitious m a t e r i a l s , on the other hand, a volume contraction around hard aggregates occurs during hydration and g i v e s r i s e to shrinkage of the cement matrix. S i m i l a r l y , t h i s produces residual s t r a i n s in f a c e t s around aggregates. However, d e s p i t e t h i s difference in the mechanism of internal c o n s t r a i n t operating within the two types of m a t e r i a l s , the consequence i s that the development of residual s t r a i n s in phase or grain boundar i e s g i v e s r i s e to the same end r e s u l t s .

Of each crack, a, ,a , is given as: Klc = S / U a ) = = S n/(7Tan} " (5) Thus K]_c i s a m a t e r i a l - s p e c i f i c property of each volume element of the m a t e r i a l , which i s a prerequis i t e of a unimodal f l a w - s i z e d i s t r i b u t i o n , and i m p l i e s unique v a l u e s of the cohesion strength S mc and s i z e of process zone 2ψ for a l l p a r t s of the material in q u e s t i o n . - 58 - K l c can therefore be expressed as ΚΊ = S /(πψ )/2 le mc v c;/ - (6) v ' Eqs.

As shown in F i g . 4 . 3 f l e x u r a l (B^, BB) and t e n s i o n (ZA* Z B ) s t r e n g t h d a t a can be transposed with r e s p e c t t o the d i f f e r e n t s p e c i f i c s t r e s s e d volumina i f t h e upper and lower bounds of t h e range of v a l i d i t y of t h e d i s t r i b u t i o n f u n c t i o n s a r e n e a r l y t h e same. This can be seen by comparing t h e r e s p e c t i v e s l o p e s i n F i g . 4 . 3 w i t h t h o s e in F i g . 4 . 1 . 4 . 3 MECHANICAL PROPERTIES GP THERMAL CYCLED CERAMICS AND CEMENTITIOUS MATERIALS In t h e p r e v i o u s s e c t i o n , i t was i n d i c a t e d how t h e r e l i a b i l i t y of a nominally l i n e a r - e l a s t i c m a t e r i a l can be a s s e s s e d with parameters which c h a r a c t e r i z e the s t r e n g t h d i s t r i b u t i o n .

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