Fundamental aspects in the quantitative ultrasonic determination of fracture toughness: General equations
L. S. Fu, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch, Lewis Research Center
National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1981 - 27 pages
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_p ACijkl ACstmn aij,j amc anh amplitudes and cross asymptotic value attenuation and velocity Bmnpq body force boundary conditions Cjkrs 9rm,s nk cjkrs ur,sk constants B^j denoted displacement and strain displacements inside Domany and Krumhansl eiar eigen eigenstrain concept elastic moduli equations of motion equivalent inclusion method Eshelby exp icR expressed as Cjkrs f-vector field solution formulation and governing fracture toughness FUNDAMENTAL ASPECTS given in Eq Green's function Gubernatis Hence the interaction ijkl kl kl incident power incident wave inside the scatterer interaction energy due interaction problem isotropic L. S. Fu linear elastic ljkl matrix nondestructive evaluation obtained Ohio State University Performing Organization polynomial QUANTITATIVE ULTRASONIC DETERMINATION quantities scattered amplitudes scattered field scattering theory single flaw stmn strain fields inside strains and displacements stress wave theorem time-harmonic ultrasonic attenuation factor ultrasonic factors Unclassified vector velocity factors volume integrals given yield stress