Coupled damage and plasticity modelling in transient dynamic analysis of concrete

Abstract

In a concrete structure subjected to an explosion, for example a concrete slab, the material is subjected to various states of stress which lead to as many mode of rupture. Close to the explosive, a state of strong hydrostatic compression is observed. This state of stress produces an irreversible compaction of the material. Away from the zone of explosion, confinement decreases and the material undergoes compression with a state of stress, which is slightly triaxial. Finally, the compression wave can be reflected on a free surface and becomes a tensile wave, which by interaction with the compression wave, produces scabbing. We present in this paper a model aimed at describing these three failure modes. It is based on visco-plasticity and rate dependent damage in which a homogenisation method is used in order to include the variation of the material porosity due to compaction. The model predictions are compared with several experiments performed on the same concrete. Computations of split Hopkinson tests on confined concrete, a tensile test with scabbing, and an explosion on a concrete slab are presented.

Influence of the meso-structure in dynamic fracture simulation of concrete under tensile loading

“…We propose to adopt a rate dependent cohesive law to reproduce with better accuracy the experimental observations of strain-rate strengthening. While rate dependency has been taken into account in several concrete models, using either a rate-dependent damage formulation [16,9], visco-plasticity [37] or a coupling between both formulations [10], little attempts have been made to couple rate dependency with a meso-scale modeling of concrete. A noteworthy exception includes some recent work, for instance Cusatis et al [45] within the lattice framework and [26] within a (viscoelastic viscoplastic) damage formulation with interfacial transition zone.…”

Simulation of dynamic behavior of quasi-brittle materials with new rate dependent damage model

“…First, a viscous-damage formulation, similar to a Perzyna-type of viscoplasticity, was used to describe the rate of damage (see for example [29][30][31]). Plotzitza et al [25] proposed a formulation where the evolution of damage depends to some extent on the immediately preceding strain history.…”

Intrinsic dissipation of a modular anisotropic damage model: Application to concrete under impact

“…In compression one will assume that the rate effect experimentally observed is due to inertial effect that confine the sample tested [11,12]. In both cases the same function D v (x) is used [5],…”