By Betsch P., Stein E.
Substitute formulations of isotropic huge pressure elasto-plasticity are offered that are in particular well matched for the implementation into assumed pressure components. in response to the multiplicative decomposition of the deformation gradient into elastic and plastic elements 3 exact eigenvalue difficulties regarding the reference, intermediate and present configuration are investigated. those eigenvalue difficulties arc hooked up via similarity differences which guard the eigenvalues. They play an immense position within the next improvement of other constitutive formulations and the corresponding finite aspect implementation. The built constitutive tactics depend on the suitable Cauchy-Green tensor, or equivalently at the Green-Lagrangian pressure tensor, instead of the deformation gradient. accordingly, they are often utilized on to assumed pressure parts. particularly, we're concerned about effective low order shell parts for which the assumed pressure process has confirmed to be tremendous strong to beat spurious locking results.
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