scholarly journals Elastic-plastic analysis of an infinite plate with an elliptic hole by body force method.

1985 ◽  
Vol 51 (465) ◽  
pp. 1471-1476 ◽  
Author(s):  
Hironobu NISITANI ◽  
Dai-heng CHEN
Keyword(s):  
Body Force ◽  
Elliptic Hole ◽  
Infinite Plate ◽  
Elastic Plastic ◽  
Force Method ◽  
Body Force Method ◽  
Plastic Analysis

Delaunay-Tessellation Based Elastic-Plastic Analysis by Body Force Method

2009 ◽  
Vol 417-418 ◽  
pp. 245-248
Author(s):  
Akihide Saimoto ◽  
T. Ino ◽  
Y. Imai
Keyword(s):  
Body Force ◽  
Inelastic Strain ◽  
Small Scale ◽  
Delaunay Tessellation ◽  
Elastic Plastic ◽  
Force Method ◽  
Body Force Method ◽  
Plastic Analysis ◽  
Plasticity Problem ◽  
Perfect Plastic

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.

scholarly journals Interference Analysis between Crack and General Inclusion in an Infinite Plate by Body Force Method

2013 ◽  
Vol 577-578 ◽  
pp. 1-4
Author(s):  
Takuichiro Ino ◽  
Shohei Ueno ◽  
Akihide Saimoto
Keyword(s):  
Material Properties ◽  
Body Force ◽  
Infinite Plate ◽  
Inelastic Strain ◽  
Inclusion Problem ◽  
Interference Analysis ◽  
Force Method ◽  
Body Force Method

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.

Body Force Method for Melan Problem With Hole Using Complex Potentials

2007 ◽  
Author(s):  
B. S. Manjunath ◽  
D. S. Ramakrishna
Keyword(s):  
Stress Analysis ◽  
Body Force ◽  
Infinite Plate ◽  
The Body ◽  
Complex Potentials ◽  
Actual Condition ◽  
Principle Of Superposition ◽  
Concentrated Load ◽  
Force Method ◽  
Body Force Method

The problem of a half plane with concentrated load acting at an interior point is known as melan problem as shown in Fig.1. In the present case melan problem with hole is considered as shown in Fig.2. The body force method is developed for the above case. Body force method is a method based on principle of superposition [1]. In the body force method the actual condition is treated as an imaginary condition i.e. the semi-infinite plate with hole and interior load is treated as a plate without hole; the actual hole is regarded as imaginary on whose periphery boundary forces are applied. The problem is solved by superimposing the stress fields of the boundary forces and concentrated force acting at an arbitrary point to satisfy the prescribed boundary conditions so that the stress condition of the actual plate is approximately equal to that of the imaginary plate [2]. The complex variable method of stress analysis is a versatile technique for stress analysis Problem. The formulas for melan problem are derived and described [3]. Complex potentials are used for stress analysis.

Body Force Method for Flamant Problem Using Complex Potentials

2006 ◽  
Author(s):  
B. S. Manjunath ◽  
D. S. Ramakrishna
Keyword(s):  
Stress Analysis ◽  
Body Force ◽  
Infinite Plate ◽  
The Body ◽  
Complex Potentials ◽  
Actual Condition ◽  
Principle Of Superposition ◽  
Concentrated Force ◽  
Force Method ◽  
Body Force Method

Body force method is a method based on principle of superposition. In the body force method the actual condition is treated as an imaginary condition i.e. the semi-infinite plate with hole is treated as a plate without hole; the actual hole is regarded as imaginary on whose periphery boundary forces are applied. The problem is solved by superimposing the stress fields of the boundary forces and concentrated force acting at an arbitrary point to satisfy the prescribed boundary conditions so that the stress condition of the actual plate is approximately equal to that of the imaginary plate. The flamant problem with hole is shown below in Fig. 1.The complex variable method of stress analysis is a versatile technique for stress analysis Problem. The formulas for flamant problem are derived and described. Complex potentials are used for stress analysis. In the present paper, semi-infinite plate with hole is considered for analysis by body force method.

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