The non-linear hereditary-type stress-strain relation for metals

摘要: Abstract The stress-strain-time dependance for some metals and alloys based on the idea of non-linear heredity is proposed. In particular theory can be applied to with delayed yielding (low carbon mild steels). It shown that phenomenon yield delay affects slope stress-strain curve in any prescribed loading program. proposed has been description analysis results tests under various unloading rates, also creep relaxation experiments. Using additional assumption basic equation material behaviour repeated incremental elastic waves propagation. problem longitudinal propagation hereditary type medium solved using Laplace transform technique. An asymptotic expantion solution vicinity wave front obtained.