PIECEWISE LINEAR MODEL FOR STRENGTHENING AND DESTRUCTION OF SOLID BODIES

V.M. Maslov
VANT. Ser.: Mat. Mod. Fiz. Proc 1996. Вып.1-2. С. 34-46.

      The determining relations in the form of the finite increments represent the evolution of the dissipative system as a sequence of self-organization acts where the state parameter is the functional of the geometrical discrete transformation.
      The strengthening and accumulation of damages as a component of the deformation process is described by the unique parametric space. They are controlled by two factors: energy levels of the elastic field and self-organization acts and the boundary of the deterministic chaos of the state parameter.
      For the axial loading, the description is given for the small cycle loading, unloading, strength yield and long-term strength. The determining relation for three-axis stress state is proposed for the perfect medium; using the coplanarity hypothesis, a model version was considered for the plane deformation curve.