Self-consistent modelling of elastic-viscoplastic polycrystals. (English. Abridged French version) Zbl 0787.73031

Summary: A truly self-consistent scheme for modelling the elastic-viscoplastic behaviour of polycrystals has, at variance with previous attempts, to preserve the elastic-viscoplastic nature of intergranular accommodation. A treatment which obeys this requirement is presented: thanks to a tangent linearization procedure along the load path and to the use of the Laplace-Carson transform method, the problem considered is converted into a symbolically inhomogeneous elastic one with eigenstrains, which has a known classical solution.


74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
74C99 Plastic materials, materials of stress-rate and internal-variable type