Inverse Problems in Solid Mechanics and Ultrasonic

The IP (inverse problem) in solid mechanics have emerged through the 20th century and measured. Nowadays has accept the classification of inverse problems in solid mechanics [1]: retrospective IP, boundary IP, coefficient IP, geometric IP. The IPs in theory of elasticity, theory of plasticity, theory of strengthening, fatigue theory, fracture theory micro-structural of polycrystalline materials are formulated and solved. The method of high frequency theory of ultrasonic waves is used. The results which are obtained here show, that all coefficients and geometrical characteristics of imperfections in the material are functions only of longitudinal and transversal velocities and attenuation of ultrasonic waves, which are measured, according ASTM E 494: 2015. The received relationships from this article could be used for NDE (non-destructive evaluation) of the coefficients and the geometrical characteristics of imperfections in polycrystalline materials.