scholarly journals Elastic plastic analysis of an elliptical hole in an infinite plate under various combined remote stress by the combination of finite element method and body force method.

1987 ◽  
Vol 53 (496) ◽  
pp. 2340-2348
Author(s):  
Yukitaka MURAKAMI ◽  
Zhen-Yao HUANG ◽  
Yukihiko UCHIYAMA
2009 ◽  
Vol 417-418 ◽  
pp. 245-248
Author(s):  
Akihide Saimoto ◽  
T. Ino ◽  
Y. Imai

The occurrence of small scale plasticity can be modeled physically by force doublets embedded in an elastic medium and therefore the plasticity problem can be treated by the superposition of elastic solutions. This idea for the treatment of an inelastic strain is reviewed and generalized to develop a versatile program for two-dimensional elastic-plastic problems based on Body Force Method. In the present study, a treatment of an elastic-perfect plastic body is discussed in detail. The increment of the density of force doublets, which has one to one correspondence to the increment of plastic strain, can be determined from Prandtl-Reuss equation. It was also found the Delaunay triangulation is useful and convenient for the automated elastic-plastic analysis.


2013 ◽  
Vol 577-578 ◽  
pp. 1-4
Author(s):  
Takuichiro Ino ◽  
Shohei Ueno ◽  
Akihide Saimoto

A Continously Embedded Force Doublet over the Particular Region can be Regardedas the Distributing Eigen Strain. this Fact Implies that many Sorts of Inelastic Strain can Bereplaced by the Force Doublet. in the Present Paper, the Force Doublet is Used to Alter the Localconstitutive Relationship. as a Result, a Method for Analyzing the General Inclusion Problem Inwhich the Material Properties of the Inclusion are Not only Different from those of the Matrixmaterial but also can be even a Function of Spacial Coordinate Variables is Proposed. Thetheoretical Background of the Present Analysis is Explained Followed by some Representativenumerical Results.


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