Stress Distribution in an Infinite Plate with Circular Hole by Modified Body Force Method

2020 ◽  
pp. 163-174
Author(s):  
Shrikrishna Badiger ◽  
D. S. Ramakrishna
Keyword(s):  
Stress Distribution ◽  
Circular Hole ◽  
Body Force ◽  
Infinite Plate ◽  
Force Method ◽  
Body Force Method

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.

Two-Dimensional Stress Analysis of an Infinite Plate with Anisotropic Inclusions by BFM

2019 ◽  
Vol 827 ◽  
pp. 397-403
Author(s):  
Takuichiro Ino ◽  
Yohei Sonobe ◽  
Atsuhiro Koyama ◽  
Akihide Saimoto
Keyword(s):  
Mechanical Properties ◽  
Stress Field ◽  
Stress Analysis ◽  
Body Force ◽  
Infinite Plate ◽  
Inclusion Problem ◽  
Homogeneous Material ◽  
Two Dimensional ◽  
Force Method ◽  
Body Force Method

Based on the principle of a Body Force Method (BFM), any inclusion problem can besolved only by using a Kelvin solution which corresponds to a stress field caused by a point forceacting in a homogeneous infinite plate, regardless of the mechanical properties of the inclusion. Thischaracteristic is true even for an anisotropic inclusion in which the number of independent elasticconstants are larger than that of a homogeneous material. In the present study, some problems among anisotropic inclusions were analyzed numerically to demonstrate the validity.

The solution of the dynamic field of the Haskell fault model reconsidered

1982 ◽  
Vol 72 (4) ◽  
pp. 1069-1083
Author(s):  
R. D. List
Keyword(s):  
Half Space ◽  
Displacement Field ◽  
Body Force ◽  
Fault Model ◽  
Earthquake Source ◽  
Infinite Space ◽  
Force Method ◽  
Body Force Method ◽  
Rupture Speed ◽  
Seismic Dislocations

abstract A method of obtaining the displacement field of the Haskell model of an earthquake source, based on the well-known equivalence of seismic dislocations and body force, is described. It is shown that the solution of Madariaga (1978) can be generalized and that the two methods are equivalent for the problem of a rectangular dislocation expanding on a plane in an infinite space with a variable rupture speed and variable slip in the direction of rupture. One of the advantages of the equivalent body force method is that it can be used to readily obtain the transformed solution to the Haskell model in a half-space for a rectangular dislocation, expanding with variable rupture speed and variable slip.

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