Lattice type of fracture model for concrete

Abstract

Concrete is usually described as a three-phase material, where matrix, aggregate and interface zones are distinguished. The beam lattice model has been applied widely by many investigators to simulate fracture processes in concrete. Due to the extremely large computational effort, however, the beam lattice model faces practical difficulties. In our investigation, a new lattice called generalized beam (GB) lattice is developed to reduce computational effort. Numerical experiments conducted on a panel subjected to uniaxial tension show that the GB lattice model can reproduce the load-displacement curves and crack patterns in agreement to what are observed in tests. Moreover, the effects of the particle overlay on the fracture process are discussed in detail.

Continuumnization of Regularly Arranged Rigid Bodies

“…As for concrete, a remarkably large collection of papers are found that use an assembly of particles as a microstructure model; see, for instance, a list of related papers 14), 15) . The major concern is to treat microcracks of mortar in which aggregates are embedded 16),17), 18) .…”

A MLS-Based Lattice Spring Model for Simulating Elasticity of Materials

“…Here the discrete units are merely lattice sites (nodes). This type of models can be further classified into lattice spring [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] and lattice beam [23][24][25][26] models according to the number of degrees of freedom per node and the mechanical properties of connecting elements. In a lattice three-dimensional cases and 0.33 for two-dimensional cases.…”

Modified generalized beam lattice model associated with fracture of reinforced fiber/particle composites

“…In comparison to the above macro level models, the meso-level lattice-type model can simulate the complete failure process including nucleation and growth of micro cracks, formation, coalition and propagation of macro cracks until the final breakdown of the whole specimen [7][8][9]. Furthermore, this kind of models does not need any remeshing procedure or any smearing operation.…”

“…The GB lattice model proposed recently was employed to simulate tensile failures by adopting maximum tensile stress failure criterion at first [9]. Then it has been improved to investigate compressive failures by using the Mohr-Coulomb criterion [10].…”

“…Until now, the media investigated using lattice-type models are mainly particle composites [7][8][9][10]. Nevertheless, fibers and rebar are another two common kinds of inclusions in many engineering composites such as concrete.…”