Mathematical Problems in Engineering

Research Article

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

Table 3

Characteristic eigenvalues of V-notch problem when = 2.



	10°		20°		30°		40°		50°		60°		70°		80°
	₁	₂	₁	₂	₁	₂	₁	₂

190°	0.9128563	1.8249625	0.9113253	1.8218496	0.9086988	1.8165083	0.9049076	1.8087957	0.8999710	1.7987498	0.8941736	1.7869486	0.8883017	1.7749937	0.8837307	1.7656869
200°	0.8397233	1.6748301	0.8371422	1.6693737	0.8327417	1.6600658	0.8264549	1.6467584	0.8183932	1.6296842	0.8091217	1.6100415	0.7999652	1.5906445	0.7930116	1.5759189
210°	0.7777646	1.5429819	0.7744839	1.5356576	0.7689332	1.5232544	0.7611038	1.5057428	0.7512566	1.4837038	0.7402290	1.4590221	0.7296815	1.4354289	0.7219154	1.4180723
240°	0.6420085	1.2222747	0.6381055	1.2111531	0.6317307	1.1929553	0.6232522	1.1687083	0.6134684	1.1406951	0.6036664	1.1126176	0.5953715	1.0888543	0.5898835	1.0731292
270°	0.5608742	0.9750736	0.5578813	0.9625454	0.5532895	0.9432595	0.5477408	0.9198607	0.5420796	0.8958804	0.5371148	0.8747394	0.5333855	0.8587638	0.5311212	0.8490085
300°	0.5183809	0.7767464	0.5169893	0.7660143	0.5150402	0.7508982	0.5129504	0.7345539	0.5110686	0.7196690	0.5095865	0.7077811	0.5085560	0.6993955	0.5079587	0.6944767
330°	0.5023271	0.6186594	0.5020954	0.6130523	0.5017991	0.6057997	0.5015112	0.5986297	0.5012728	0.5925552	0.5010958	0.5879303	0.5009771	0.5847549	0.5009095	0.5829168
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