Optimal estimation of gradient damage parameters from localization phenomena in quasi‐brittle materials

Development of an approach to constitutive modelling of concrete: Isotropic damage coupled with plasticity

“…As a consequence, several sets of parameters, each corresponding to a particular value of the length parameter, can be obtained based on the proposed method. The choice of the best set of model parameters, with the length parameter being the true characteristic length of the material, can be made based on size effect tests (Carmeliet, 1999;Le Bellego et al, 2003). The computational and regularization aspects of the non-local model have only been briefly described in this report.…”

Elastic damage characterization of an ilmenite smelter freeze lining

“…Failure in quasi-brittle materials is characterized by a progressive damage process which starts with the growth and coalescence of micro-defaults (micro-cracks) leading to localization of damage in narrow zones (Carmeliet, 1999). These micro-defaults in localized damage zones lead to progressive softening of the quasibrittle material as the micro-cracks coalesce, causing the material's ability to resist stress to gradually decrease.…”

Coherent energetic interfaces accounting for in-plane degradation

“…Furthermore, identifying the characteristic length scale and relating it to the non-local length scale is still an open discussion (Cordero et al 2015) and requires extensive experimental tests. For further details see Bažant and , Carmeliet (1999), Mazars et al (1990), Bažant and Cabot (1989).…”