2 papers
cond-mat.mtrl-sci2001
An application of the catastrophe theory to building the model of elastic-plastic behaviour of materials. Part 2. 3D model
L. N. Maurin, I. S. Tikhomirova
The three-dimensional elastic-plastic deformation is considered. The catastrophe theory underlies the construction of this process model. It was shown that the variety of stable st…
cond-mat.mtrl-sci2001
An application of the catastrophe theory to building the model of elastic-plastic behaviour of materials. An application of the catastrophe theory to building the model of elastic-plastic behaviour of materials. Part 1. Uniaxial deformation (stress)
L. N. Maurin, I. S. Tikhomirova
The uniaxial elastic-plastic deformation process is considered. Mathematical model of this process was built. According to this model all stable static states form the lattice, whi…