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    					| THREE-DIMENSIONAL ORIENTATION ANALYSIS FOR COLD-ROLLED 08Al STEEL SHEET | 
  					 
  					  										
						| Liang Zhide;Xu Jiazheng;Wang Fu North-Eastern Institute of Technology | 
					 
															
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				Cite this article: 
				
					
			      Liang Zhide;Xu Jiazheng;Wang Fu North-Eastern Institute of Technology. THREE-DIMENSIONAL ORIENTATION ANALYSIS FOR COLD-ROLLED 08Al STEEL SHEET. Acta Metall Sin, 1980, 16(3): 276-282.	
				  
				
				
					
						
							
								
									
									
									
									
									 
          
          
            
              
				
												  
													
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													     		                            						                            																	    Abstract  An ALGOL-60 program is written for the calculation of the ODF for cubicmetals. Using this program the cold-rolled texture of 08Al steel sheet has beendetermined. It is shown that this texture is composed of two branches: the weakerone is concentrated {001}〈110〉, other has a stronger {111} fiber component anda strong {211} 〈011〉. In this program the ODF is expanded in a series of generalized sphericalharmonics truncated at l=16 and is inversed from two pole figures of the sample.The weights α_l~i have been introduced in the calculation of the coefficients W_(Imn) ofthe series for l=4,6,8,10,14. It has been proved that a_l~i is determined by the ?_i,Φ_i and l, and is independent of the orientation distribution of the plane i in thesamples. Furthermore, the numerical values of Z_(lmn)(ξ) are calculated by a simplerecurrence relation. The program, as a whole, is rather simple and time-saving.
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															    																	Received:  18 March 1980
																	    
															    															    															  
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															  [1] 周永忻,黄清珠,陈乾惕,邓定庆,蒲绍康,金属学报,14(1978) ,292.  [2] Lopata, S. L. and Kula, E. B., Trans. AIME, 224 (1962) , 865.  [3] Elias, J. A. and Heckler, A. J., Trans. AIME, 239 (1967) , 1237.  [4] Bunge, H-J., Z. Metallk., 56 (1965) , 872.  [5] Roe, R-J., J. Appl. Phys., 36 (1965) , 2024.  [6] Roe, R-J., J. Appl. Phys., 37 (1966) , 2069.  [7] Morris, P. R. and Heckler, A. J., Advances of X-Ray Analysis, Vol. 11, Newkirk, J. B., Mallett, G. R. and Pfeiffer, H. G., Plenum Press, New York, 1968, p. 454.  [8] Morris, P. R. and Heckler, A. J., Trans. AIME, 245 (1969) , 1877.  [9] Morris, P. R., Texture Cryst. Solids, 2 (1976) , 57.  [10] Sneddon, I. N., Special Functions of Mathematical Physics and chemistry, Oliver and Boyd, 1956, Chap. Ⅱ. [11] 梁志德,徐家桢,王福,Calculation of the Augmented Jacobi Polynomails by Means of Recurrence Relation(待发表). | 
														   
																											 
									             
									           
             
			            			 
			
             
								                
															
																
																	
																																																																									
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