Tokmashev, Roman2015-11-092015-11-092015-08https://hdl.handle.net/11299/175498University of Minnesota Ph.D. dissertation. August 2015. Major: Civil Engineering. Advisor: Bojan Guzina. 1 computer file (PDF); vii, 91 pages.The focus of this dissertation is on: i) non-invasive imaging of discrete damage in solids by way of the Topological Sensitivity (TS) approach to elastic-wave tomography, ii) experimental verification of the TS imaging technique using non-contact vibration measurements obtained by 3D Scanning Laser Doppler Vibrometer, and iii) upgrade of the Finite Element (FE) elastodynamic computational platform to treat long range wave propagation toward enhancing the imaging performance of TS under the conditions of limited testing aperture.enDiscontinuous GalerkinInverse ProblemsLaser VibrometryNondestructive testingTopological SensitivityThesis or Dissertation