Final Conclusions and Future Research Directions
The book analyzes quasi-static fracture in plain concrete and reinforced concrete by means of constitutive models formulated within continuum mechanics. A continuous and discontinuous modelling approach was used. Using a continuous approach, analyses were performed using a finite element method and four different continuum concrete models: enhanced isotropic elasto-plastic, enhanced isotropic damage, enhanced anisotropic smeared crack and enhanced coupled elasto-plastic-damage model. The models were equipped with a characteristic length of micro-structure by means of a non-local and a second-gradient theory, so they could describe the formation of localized zones with a certain thickness and spacing and a related deterministic size effect. FE results converged to a finite size of localized zones via mesh refinement. In addition, numerical results of cracks in plain concrete using a discontinuous approach including cohesive (interface) elements and XFEM were presented which were also properly regularized. Numerical results were compared with corresponding laboratory tests from the scientific literature and own tests.
KeywordsRepresentative Volume Element Localize Zone Plain Concrete Representative Volume Element Size Aggregate Shape
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