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Papers on singularity in transversely isotropy

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!

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/art00108
But about singularities in rocks I know nothing

BoJing Zhu's picture

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

Great thanks.

Please tell me more information about the problem and materials which you deals with.

How do you build table. What does it mean 0.3(0.3) for example

 

Best regards, Taras 

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