Abstract

See the attached PDF file In this paper, the Coefficient Inverse Problems (I.P.), the Geometrical I.P. and Microstructure (I.P.) in elasticity, plasticity, hardening, fatigue, fracture and microstructure are formulated and solved. The retrospective I.P. and the boundary I.P. are commented. It was prepared equations for evaluation of the velocities for propagation of longitudinal and transversal ultrasonic wave. The relationships between following mechanical properties: modulus of elasticity, Henki’s coefficient, parameters in hardening law, parameters in Wohler ‘s curve, fatigue limit, coefficient in fracture mechanics and acoustics characteristics of materials are obtained. The geometrical I.P. for reflected area and crack depth are solved by means reflected and diffraction methods respectively.The microstructure I.P. is solved by means mathematical - ultrasonic dualism. KEY WORDS: Inverse Problems, Solid Mechanics, Ultrasonic.

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