Quasistatic Seismic Damage Indicators for RC Structures from Dissipating Energies in Tangential Subspaces
This paper applies recent research on structural damage description to earthquake-resistant design concepts. Based on the primary design aim of life safety, this work adopts the necessity of additional protection aims for property, installation, and equipment. This requires the definition of damage indicators, which are able to quantify the arising structural damage. As in present design, it applies nonlinear quasistatic (pushover) concepts due to code provisions as simplified dynamic design tools. Substituting so nonlinear time-history analyses, seismic low-cycle fatigue of RC structures is approximated in similar manner. The treatment will be embedded into a finite element environment, and the tangential stiffness matrixKTin tangential subspaces then is identified as the most general entry for structural damage information. Its spectra of eigenvaluesλior natural frequenciesωiof the structure serve to derive damage indicatorsDi, applicable to quasistatic evaluation of seismic damage. Because detKT=0denotes structural failure, such damage indicators range from virgin situationDi=0to failureDi=1and thus correspond with Femaproposals on performance-based seismic design. Finally, the developed concept is checked by reanalyses of two experimentally investigated RC frames.