A solution to the parameter-identification conundrum: multi-scale interaction potentials.

van Mier, J. G. M.

Softening is a structural property, not a material property. Any material will show softening, but in this paper the focus is primarily on cement and concrete, which show this property very clearly owing to their coarse heterogeneity (relative to common laboratory-scale specimen sizes). A new model approach is presented, based on pair-potentials describing the interaction between two neighbouring particles at any desired size/scale level. Because of the resemblance with a particle model an equivalent lattice can be constructed. The pair-potential is then the behavioral law of a single lattice element. This relation between force and displacement depends on the size of the considered lattice element as well as on the rotational stiffness at the nodes, which not only depends on the flexibility of the global lattice to which the element is connected but also on the flexural stiffness of the considered element itself. The potential $$F-r$$ F − r relation is a structural property that can be directly measured in physical experiments, thereby solving size effects and boundary effects.

PARAMETER estimation; LATTICE theory; STIFFNESS (Mechanics); FLEXIBILITY (Mechanics); SIZE effects in thin films; CONCRETE; DISPLACEMENT (Mechanics)

International Journal of Fracture, 2013, Vol 184, Issue 1/2, p171

0376-9429

Academic Journal

10.1007/s10704-013-9858-8