Experimental study of residual stresses in thin-walled rotational shells made of composite materials by means of the annular element removal method

1981 ◽  
Vol 16 (4) ◽  
pp. 503-508
Author(s):  
V. L. Blagonadezhin ◽  
A. V. Dmitriev

A numerical method called element removal method is designed to calculate singular minimizers which cannot be approximated by simple applications of standard numerical methods because of the so-called Lavrentiev phenomenon. The convergence of the method is proved. The results of numerical experiments show that the method is effective.


Magnesium ◽  
2005 ◽  
pp. 700-705
Author(s):  
Anders Eric Wollmar Jarfors ◽  
Tan Ming Jen ◽  
Jonas. Bäckman

1995 ◽  
Vol 05 (03) ◽  
pp. 387-399 ◽  
Author(s):  
ZHIPING LI

A numerical method called element removal method is applied to calculate singular minimizers in problems of hyperelasticity. The method overcomes the difficulty in finite element approximations caused by restrictions, such as det (I+∇u)>0, on admissible functions and can avoid Lavrentiev phenomenon if it does occur in the problem. The convergence of the method is proved.


2017 ◽  
Vol 57 (4) ◽  
pp. 1809-1813 ◽  
Author(s):  
Francesco Danzi ◽  
James M. Gibert ◽  
Giacomo Frulla ◽  
Enrico Cestino

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