2017/01/31 by Roozbeh Rezakhani, Rezakhani, Roozbeh, Xinwei Zhou +3 · 1 citation
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Computational Engineering #FOS: Computer and information sciences #Finance #Numerical methods in engineering #Rock Mechanics and Modeling #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.1702.00695
openalex publication_date 2017/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper presents a new adaptive multiscale homogenization scheme for the simulation of damage and fracture in concrete structures. A two-scale homogenization method, coupling meso-scale discrete particle models to macro- scale finite element models, is formulated into an adaptive framework. A continuum multiaxial failure criterion for concrete is calibrated on the basis of fine-scale simulations, and it serves as the adaptive criterion in the multiscale framework. Thus, in this approach, simulations start without assigning any material Representative Volume Element (RVE) to the macro-scale finite elements. The finite elements that meet the adaptive criterion and must be entered into the multiscale homogenization framework are detected on the fly. This leads to a substantial reduction of the computational cost especially for loading conditions leading to damage localization in which only a small portion of the FE mesh is enriched with the homogenized RVE. Several numerical simulations are carried out to investigate the capability of the developed adaptive homogenization method. In addition, a detailed study on the computational cost is performed.