Mathematical Problems in Engineering

Research Article

The Characteristic Solutions to the V-Notch Plane Problem of Anisotropy and the Associated Finite Element Method

Table 4

Characteristic eigenvalues of V-notch problem when = 8.
2
10°20°30°40°50°60°70°80°
190°0.9300319 1.85975390.9295683 1.8557960 0.9252591 1.8500525 0.9204215 1.8402016 0.9122592 1.82355210.8983587 1.7951506 0.8753016 1.7480014 0.8442929 1.6846406
200°0.8682780 1.7344681 0.8656370 1.7288880 0.8606216 1.7182604 0.8520654 1.7000556 0.8377687 1.6694968 0.8140318 1.6185886 0.7772342 1.5397211 0.7346126 1.4488744
210°0.8144412 1.6229892 0.8108555 1.6149757 0.8040481 1.5996819 0.7924631 1.5734684 0.7732964 1.5297892 0.7425320 1.4594576 0.6993252 1.3612058 0.6581962 1.2687287
240°0.6868593 1.3415308 0.6811489 1.3251930 0.6703026 1.2937616 0.6521517 1.2404467 0.6245291 1.1589485 0.5906116 1.0602030 0.5627811 0.9806798 0.5479446 0.9383353
270°0.5969306 1.1069820 0.5898858 1.0778538 0.5769633 1.0235558 0.5581487 0.9442040 0.5384141 0.8624828 0.5247156 0.8064764 0.5174707 0.7762371 0.5141545 0.7618821
300°0.5367164 0.8897706 0.5303145 0.8434998 0.5210972 0.7768489 0.5128778 0.7183591 0.5078752 0.6825068 0.5052792 0.6629644 0.5039741 0.6524804 0.5033598 0.6472710
330°0.5056623 0.6756323 0.5037204 0.6363077 0.5021314 0.6041338 0.5012388 0.5853208 0.5007847 0.5749354 0.5005517 0.5690795 0.5004307 0.5657721 0.5003720 0.5640673
360°0.50000000.50000000.50000000.50000000.50000000.50000000.50000000.50000000.50000000.50000000.50000000.50000000.50000000.50000000.50000000.5000000