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Papers on singularity in transversely isotropy

Submitted by Taras A. Vasiliev on

Does whoever know anything about singularities in transversely isotropic bodies with complex s1 and s2 (or c1 and c2) Lechnitsky parameters? Whose papers can you recommend me.

I am grateful for any information!

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Taras A. Vasiliev

There two classes of materials wich we can approximate transversely isotropic: fiber composites (s1, s2 real) and such rocks as slates, granites (s1, s2 complex) etc.
Issue about edge singularities and singularities at the tip of the interface crack in composites
were studied by Ting T.C. More detailed information see Chen H.P.
International Journal of Solids and Structures, Volume 35, Number 11, April 1998, pp. 1057-1073(17)
www.ingentaconnect.com/content/els/00207683/1998/00000035/00000011/art0…
But about singularities in rocks I know nothing

Fri, 05/11/2007 - 05:43 Permalink
BoJing Zhu

The singulity index of 3D mixed-mode cracks list in the following tables

The stress singular index varying with the materials parameter

0 0.05 0.1 0.5 0.7 1 2 5 10 30
0.1(0.1) 0 0.1912 0.2539 0.4226 0.4597 0.5 0.5818 0.6879 0.7541 0.8207 0.8670
0.1(0.2) 0 0.1965 0.2614 0.4386 0.4776 0.5199 0.6038 0.7075 0.7689 0.8279 0.8670
0.1(0.3) 0 0.2039   0.2719 0.4600 0.5014 0.5456 0.6309 0.7302 0.7853 0.8354 0.8670
0.1(0.4) 0 0.2149 0.2719 0.4903 0.5343 0.5804 0.6654 0.7567 0.8034 0.8433 0.8670
0.2(0.1) 0 0.1819 0.2430 0.4093 0.4447 0.4823 0.5556 0.6455 0.6984 0.7485 0.7811
0.2(0.2) 0 0.1868 0.2500 0.4238 0.4609 0.5 0.5746 0.6615 0.7099 0.7537 0.7811
0.2(0.3) 0 0.1937 0.2598 0.4431 0.4821 0.5228 0.5978 0.6797 0.7224 0.7591 0.7811
0.2(0.4) 0 0.2040 0.2743 0.4705 0.4821 0.5533 0.6269 0.7006 0.7360 0.7647 0.7811
0.3(0.1) 0 0.1717 0.2309 0.3951 0.4292 0.4646 0.5303 0.6061 0.6484 0.6870 0.7112
0.3(0.2) 0 0.1763 0.2374 0.4081 0.4436 0.4801 0.5465 0.6191 0.6575 0.6909 0.7112
0.3(0.3) 0 0.1827 0.2464 0.4255 0.4625 0.5 0.5661 0.6338 0.6672 0.6950 0.7112
0.3(0.4) 0 0.1923 0.2598 0.4499 0.4884 0.5266 0.5905 0.6505 0.6777 0.6992 0.7112
0.4(0.1) 0 0.1605 0.2174 0.3798 0.4131 0.4467 0.5059 0.5692 0.6026 0.6320 0.6499
0.4(0.2) 0 0.1647 0.2233 0.3913 0.4257 0.4601 0.5194 0.5796 0.6096 0.6350 0.6499
0.4(0.3) 0 0.1706 0.2315 0.4067 0.4422 0.4772 0.5358 0.5913 0.6172 0.6380 0.6499
0.4(0.4) 0 0.1793 0.2437 0.4283 0.4648 0.5 0.5559 0.6044 0.6253 0.6412 0.6499

more information ,y can contact with me

Fri, 05/11/2007 - 10:01 Permalink