Numerical analysis of doubly periodic array of cracks/rigid-line inclusions in an infinite isotropic medium using the boundary integral equation method

2005 ◽  
Vol 133 (4) ◽  
pp. 389-405 ◽  
Author(s):  
C. Y. Dong ◽  
Kang Yong Lee
Keyword(s):  
Integral Equation ◽  
Numerical Analysis ◽  
Boundary Integral Equation ◽  
Isotropic Medium ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Periodic Array ◽  
Equation Method ◽  
Rigid Line ◽  
Doubly Periodic Array

Numerical Analysis of Time-Dependent Inelastic Deformation in Metallic Media Using the Boundary-Integral Equation Method

1978 ◽  
Vol 45 (4) ◽  
pp. 785-790 ◽  
Author(s):  
S. Mukherjee ◽  
V. Kumar
Keyword(s):  
Integral Equation ◽  
Numerical Analysis ◽  
Boundary Integral Equation ◽  
Inelastic Deformation ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Time Dependent ◽  
Boundary Integral Equation Method ◽  
Equation Method ◽  
Variable Theory

A numerical analysis procedure using the boundary-integral equation method is presented for the solution of problems of time-dependent inelastic deformation in planar metallic bodies. The formulation allows the use of both classical creep theories as well as newer theories of inelastic deformation using state variables. Numerical results are presented for plane stress problems using either the power law equations of creep or the state variable theory due to Hart. Comparison of BIE and analytical methods for simple problems shows good agreement. Other features of the numerical solutions of more complicated problems are discussed in the paper.

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