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

Akihide Saimoto; T. Ino; Y. Imai

doi:10.4028/www.scientific.net/KEM.417-418.245

Paper Titles

Study on Structural Vibration Control by Using Shape Memory Alloy
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On Numerical Analysis of Creep Fracture Behaviour of Medium Density Polyethylene
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Creep Behaviour in Reinforced Masonry Walls Interpreted by Acoustic Emission
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Numerical Computation of the Overall Moduli of Two Dimensional Infinite Media with Cracks
p.241

Delaunay-Tessellation Based Elastic-Plastic Analysis by Body Force Method
p.245

Fracture Mechanisms of Metal Plates under Off-Centred Impact
p.249

Elastic Conditioning, Memory and Relaxation Induced by the Presence of Cracks in Concrete
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Fatigue Crack Propagation in Thin Structures
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Creep and Fatigue Damages of Ni-Base-Superalloy Caused by Strain-Induced Anisotropic Diffusion of Component Elements
p.261

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

Abstract:

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.