Modeling of processes of complex plastic deformation of materials along arbitrary temperature and force loading paths

We develop a mathematical model describing the processes of complex plastic deformation of structural materials (metals and their alloys) under multiaxial nonproportional paths of complex temperature and force loading. To obtain qualitative and quantitative assessment of the constitutive relations developed here, we study how the strain path shape affects the plastic behavior of metals. We show that the version of constitutive relations developed here correctly represents the main elastoplastic deformation effects in metals for arbitrary strain paths.