Ultrasonic nondestructive evaluation of inhomogeneous plane strain in elastic medium

Nondestructive characterization of materials with variable properties

“…As a result, the first term in the series (15) that describes the linerar propagation of the wave into the depth of the material has the form: e ',s~p~ e 2r X2) dy d~ dp (19) a' iY 0 0 depends on the properties and the predefromed state of the material characterized by the function Gj (~) (y, X2). Here p denotes the Laplace integral transform parameter.…”

“…(10) if the coefficient fa = 0 [42], and the motion of the inhomogenously predeformed nonlinear elastic material is described if in addition the kernel function R1 = 0 [19]. In both cases the coefficients fi and f2 are functions of the predeformed state (UK~ coefficient fa = kl, and c is determined by Eq.…”

“…(7). The predeformed state is determined by the solution of the equilibrium equations of the material under appropriate boundary conditions [19]. This solution is sought making use of the perturbation procedure in the form of polynomials.…”

“…the amount of information to be determined in NDT increases essentially. The methods of NDT of complicated cases are under intensive investigation [17] - [19]. This paper deals with recent results of the authors on the development of the mathematical basis of NDT of nonlinear viscoelastic materials, inhomogeneous nonlinear elastic materials and inhomogeneously predeformed nonlinear elastic materials.…”

Non-linear interaction of waves in prestressed material

“…The amount of quantities which needs to be determined by the NDE of the inhomogeneous prestress field increases essentially [11][12][13][14]. Several methods that combine the acoustoelastic effect with other features of wave motion are proposed for this purpose in order to enhance the accuracy of NDE [15][16][17].…”