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

Table 5

Characteristic eigenvalues of V-notch problem when 𝐶₁₁/𝐶₂₂ = 32.

2𝛼	𝜃
	10°		20°		30°		40°		50°		60°		70°		80°
	𝜉1	𝜉2	𝜉1	𝜉2	𝜉1	𝜉2	𝜉1	𝜉2	𝜉1	𝜉2	𝜉1	𝜉2	𝜉1	𝜉2	𝜉1	𝜉2
190°	0.9383544	1.8765620	0.9375017	1.8748302	0.9358295	1.8714294	0.9328018	1.8652572	0.9271630	1.8537207	0.9156380	1.8300284	0.8883484	1.7736743	0.8177936	1.6281756
200°	0.8837766	1.7665839	0.8822227	1.7633014	0.8791667	1.7568144	0.8736061	1.7449163	0.8631675	1.7223247	0.8416098	1.6750388	0.7909583	1.5632250	0.6867746	1.3375999
210°	0.8350726	1.6673544	0.8329023	1.6624997	0.8286071	1.6527989	0.8207038	1.6346735	0.8055930	1.5992951	0.7736118	1.5229344	0.7007226	1.3501031	0.6040837	1.1317090
240°	0.7160093	1.4159385	0.7120920	1.4046503	0.7040059	1.3806731	0.6879708	1.3312028	0.6538841	1.2229404	0.5878978	1.0238868	0.5382270	0.8890728	0.5231031	0.8477859
270°	0.6264983	1.2064383	0.6203072	1.1806093	0.6063290	1.1193694	0.5758734	1.0000000	0.5336490	0.8148305	0.5145313	0.7463110	0.5084959	0.7230788	0.5063534	0.7139696
300°	0.5585617	1.0047370	0.5486459	0.9336876	0.5277819	0.7857225	0.5105224	0.6807309	0.5046508	0.6461264	0.5026413	0.6325957	0.5018261	0.6262824	0.5014813	0.6233311
330°	0.5118620	0.7488441	0.5050930	0.6348976	0.5017876	0.5848921	0.5007722	0.5681839	0.5004135	0.5610688	0.5002638	0.5575139	0.5001946	0.5556253	0.5001632	0.5546819
360°	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000	0.5000000