Irrecoverable deformation of tin in terms of the synthetic theory

Loading Surface in the Course of Mechanical-Thermal Treatment and Steady-State Creep of Metals

“…During annealing, according to (9), (11), and (15), we have Therefore, it can be concluded that the loading surface at the end of annealing ( 1 t t  ) retains the shape formed at…”

Stress-Strain Interaction Model of Plasticity

“…[2] [3] [4] [5] [6] [7] [8]. Multilevel theories of irrecoverable deformations, where macro-strains are related to the processes occurring on the micro level of material, provide relatively simple stress-strain and strain-time formulae [9] [10] [11]. The rearrangements of the internal structures within which the particles are being collectively dislocated to new positions of internal equilibrium are frequently explicated in discrete dislocation physics as interactions, e.g.…”

“…Rubber band bonds of lengths =4 cm, =6 cm and =12 cm are investigated in five independent tests each ( Each experiment consists of measurements of elongations Δ after random oneby-one removal of rubber bands. The elongations are used to find the propensity p and intensity i parameters of the CEI model (6)(7)(8)(9)(10)(11). The propensity to interaction p is obtained by measurement of the elongation for a single band under the same load.…”

Loading Surface in the Course of Mechanical-Thermal Treatment and Steady-State Creep of Metals

“…The analytical description of the dependence of steady-state creep rate x ε  on the plastic pre-strain 0 ε x in the course of MTT is carried out in terms of the synthetic theory of irrecoverable deformation [8][9][10][11]. The yield limit of a material in the three-dimensional subspace (R 3 ) of five-dimensional stress deviator space has the shape of a sphere, which correspond to the von-Mises yield criterion:…”

“…In the virgin state, sphere (1) is the inner envelope of tangent planes, which are equidistant to the origin of coordinate in all directions. A loading is presented by a stress-vector, S  , whose components are defined in [8,11]. As the stress-vector grows, it translates on its endpoint tangent planes (the orientation of tangent plane does not vary during the motion).…”