Mathematical Modeling Of Plastic Deformation Processes In Fcc Materials
by
Svetlana N. Kolupaeva
Tomsk State University of Architecture and Building
Coauthors: Mike E. Semenov

A mathematical model for plastic deformation by slip in FCC materials is developed. The model includes the differential equations of balance for different type of dislocations and deformation point defects, the equation for strain rate by slip mechanisms and equation, which describes deforming influence. The explicit form of equations is constructed as a result of consideration of slip deformation mechanisms. All equations are based on physical and geometrical relations, which are defined by: 1) the crystal lattice; 2) the topology of the structural changes; 3) micromechanics of dislocations. All parameters of the model have physical or geometrical sense.

A complex of applied programs SPFCC for realization of this model is developed. Complex of programs SPFCC realize the model of plastic deformation by slip for deformation with constant strain rate, for constant applied stress, for constant applied loading in the cases of tension and compression. Complex of programs can be used by user who not has an experience in programming and solution of the differential equations.

With use of program complex SPFCC computation experiments for the description of plastic behavior and evolution of deformation defects subsystem in FCC metals (Cu, Ni, Al) and dispersion hardened alloys on their basis is carried out. The received results of computer modeling correspond to experimental data.

Date received: February 28, 2007