P. Steinmann et P. Betsch, A localization capturing FE-interface based on regularized strong discontinuities at large inelastic strains, INT J SOL S, 37(30), 2000, pp. 4061-4082
The objective of this work is the development of a finite element interface
formulation tailored to capture localization within geometrically nonlinea
r solid mechanics. In this context, strong discontinuities are considered a
s the final failure mechanism within localization problems. The failure kin
ematics are governed by a jump in the nonlinear deformation map across a di
scontinuity surface. In the finite element discretization the interface ele
ment is endowed with these kinematics. As a consequence, the interface stif
fness is dominated by the weighted spatial localization tensor. Based on th
ese developments a localization capturing procedure is advocated and is com
putationally highlighted. (C) 2000 Elsevier Science Ltd. All rights reserve
d.