Delaunay-Tessellation Based Elastic-Plastic Analysis by Body Force Method
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.
M.H Aliabadi, S. Abela, S. Baragetti, M. Guagliano and Han-Seung Lee
A. Saimoto et al., "Delaunay-Tessellation Based Elastic-Plastic Analysis by Body Force Method", Key Engineering Materials, Vols. 417-418, pp. 245-248, 2010