Polymers Textiles

Application of Fracture Mechanics to Composite Materials by Klaus Friedrich (Eds.)

By Klaus Friedrich (Eds.)

This quantity presents an invaluable precis of present wisdom at the software of fracture mechanics to composite fabrics. it's been written to fill the space among the literature on primary rules of fracture mechanics and the specified guides at the fracture homes of traditional fabrics, equivalent to metals, polymers and ceramics. the information are represented within the type of approximately 420 figures (including diagrams, schematics and pictures) and eighty tables. the writer index covers greater than 500 references, and the topic index greater than one thousand key terms

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7) i n s t e a d o f t h e m o r e a c c u r a t e e x p r e s s i o n in e q . ) If e q s . (4) a n d (5) a r e c o m b i n e d , it is e a s i l y f o u n d t h a t t h e p r o b a b i l i t y o f f a i l u r e ( o r t h e c u m u l a t i v e d i s t r i b u t i o n f u n c t i o n for t h e s t r e n g t h ) o f t h e l o n g fibre is g i v e n b y F (v) n = l-exp[-n(a/a) l (8) h w h i c h , c l e a r l y , is a l s o a W e i b u l l d i s t r i b u t i o n w i t h t h e same t h e s i n g l e c h a i n e l e m e n t , a n d t h e "rescaled" s h a p e p a r a m e t e r as for s c a l e p a r a m e t e r an~ .

Liebowitz (Academic Press, N e w York, 1968) ch. 2. L. Bowie and C E . Freese, Int. J. Fract. Mech. 8 (1972) 49-58. [20] J. Sweeney, J. Strain. Anal. 21(2) (1986) 99-107. Application of Fracture Mechanics to Composite Materials edited by K. Friedrich © Elsevier Science Publishers Β. , 1989 Chapter 2 Statistical Concepts in the Study of Fracture of Fibres and Composites H. Daniel Department Properties WAGNER of Materials Research, The Weizmann Institute of Science, Rehovot 76100, Israel Contents Abstract 39 1.

5) t h e p r o b a b i l i t y o f f a i l u r e o f t h e c h a i n is still v e r y s m a l l , 1 0 ~ . I n o t h e r w o r d s , t h e s t r e n g t h o f t h e c h a i n is still v e r y h i g h . 0952, w h i c h m e a n s t h a t a p p r o x i m a t e l y o n e c h a i n o u t o f t e n w i t h t h i s l e n g t h , will fail u n d e r l o a d σ: t h e s t r e n g t h o f t h e c h a i n is ( s t a t i s t i c a l l y s p e a k i n g ) much lower. D. , for m a t e r i a l s w i t h h i g h m e c h a n i c a l r e l i a b i l i t y ) t h e first t e r m is d o m i n a n t , g i v i n g t h e f o l l o w i n g r u l e - o f - t h u m b [ 2 5 ] for t h e p r o b a b i l i t y of failure of a weakest-link structure, FM)^nF(a).

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