S. Doll et al., On volumetric locking of low-order solid and solid-shell elements for finite elastoviscoplastic deformations and selective reduced integration, ENG COMPUTA, 17(6-7), 2000, pp. 874-902
As known from nearly incompressible elasticity, selective reduced integrati
on (SRI) is a simple and effective method of overcoming the volumetric lock
ing problem in 2D and 3D solid elements. This method of finite elastoviscop
lasticity is discussed as are its well-known limitations. In this context,
an isochoric-volumetric decoupled material behavior is assumed and thus the
additive deviatoric-volumetric decoupling of the consistent algorithmic mo
duli tensor is essential By means of several numerical examples, the perfor
mance of elements using selective reduced integration is demonstrated and c
ompared to the performance of other elements such as the enhanced assumed s
train elements. If is shown that a minor modification, with little numerica
l effort, leads to rather robust element behaviour. The application of this
process to so-called solid-shell elements for thin-walled structures is al
so discussed.