RT Journal Article ID 74e7b40e5ab491cd A1 Sherburn, Jesse A. A1 Heard, William F. A1 Williams, Brett A. A1 Sparks, Paul A. T1 A MULTISCALE MESH-FREE APPROACH TO MODELING DAMAGE OF AN ULTRA-HIGH-PERFORMANCE CONCRETE JF International Journal for Multiscale Computational Engineering JO JMC YR 2018 FD 2018-04-10 VO 16 IS 2 SP 143 OP 161 K1 multiscale modeling K1 ultra-high-performance concrete K1 reproducing Kernel particle method K1 constitutive modeling AB A multiscale mesh-free formulation based on the reproducing kernel particle method (RKPM) is used to develop a damage model for ultra-high-performance concrete (UHPC). The damage evolution law is derived from the Helmholtz free energy, where the energy released from the cracked microstructure is equated to the homogenized macroscale response at the continuum level. In order to perform the microscale calculations for UHPC, the fracture energy of the UHPC must be determined. In this study, the fracture energy of a UHPC is experimentally determined by performing single-edge notched three-point beam tests. The fracture energy is required in order to perform physically based RKPM microscale calculations. The damage evolution law is then determined from the microscale calculations and applied to a quasi-static macroscale RKPM calculation. The multiscale framework is compared to a typical phenomenological damage model to show its ability to accurately reproduce softening behavior that exists under loading of a UHPC. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,6164eb765e6a6f5b,74e7b40e5ab491cd.html