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Many continuum damage mechanics models for cementitious materials are typically phenomenological in design. Recent work has shown that a physics-based multiscale approach to modeling damage is efficient and effective. In order to use a multiscale approach, appropriate experimental data are necessary to model the microscale calculations that will then inform the continuum-scale calculations. This work uses the multiscale approach and experimentally determines the parameters necessary to model the microscale calculations. Notched three-point beam experiments were performed to determine the fracture energy of the ultra-high performance concrete known as Cor-Tuf. The fracture energy is then used by a simplified microscale calculation to determine a physics-based damage evolution equation that can be used in continuum-scale calculations. A meshfree method is used to show the usefulness of the newly determined damage evolution equation. Both a quasi-static application and a dynamic application are shown as examples. DISCLAIMER: The contents of this report are not to be used for advertising, publication, or promotional purposes. Citation of trade names does not constitute an official endorsement or approval of the use of such commercial products. All product names and trademarks cited are the property of their respective owners. The findings of this report are not to be construed as an official Department of the Army position unless so designated by other authorized documents. DESTROY THIS REPORT WHEN NO LONGER NEEDED. DO NOT RETURN IT TO THE ORIGINATOR. ERDC/GSL TR-19-12 iii

A multiscale meshfree approach to modeling damage of Cor-Tuf without fibers using fracture energy experiments