In recent years, mesh-free semi-analytical technique called distributed point source method (DPSM) has been increasingly used in computing ultrasonic wave field. A generalized computational method has been used for simulation in generic anisotropic plate using a comprehensive formulation of Green’s function. The Green’s function required for the implementation of DPSM is formulated using Fourier Transform method. Wave fields in unidirectional composite materials with 0 and 90-degree fiber orientations are reported using DPSM followed by generalized mathematical formulations. DPSM is implemented for multilayered anisotropic plates. Applying generalized mathematical formulations, NDE of multilayered anisotropic plate is simulated and reported in this article. Virtual NDE experiments of anisotropic plates in Pulse-Echo mode are simulated using a circular transducer of central frequency ~1MHz. Wave fields inside both the fluid and the solid media were calculated.
The objective of this study is to investigate the effect of nonlocal precursor damages through modulated constative properties on the Guided wave propagation in composite materials. To understand the effect of lower scale damage on the interaction of wave propagation in composite materials, all the constitutive coefficients need to be evaluated. Hence, a method is developed to investigate the effective material properties of damaged composite materials using the representative volume element (RVE) model. To calculate the full matrix of constitutive coefficients, periodic boundary conditions were applied on the RVE and average stresses and strains were evaluated using a finite element model. In this study, the effect of different percentages of void contents on effective material properties is presented. Further, the effect of modified material properties on the Guided wave propagation in a transversely isotropic composite plate was investigated.
In this paper, the wave field has been computationally modeled in the anisotropic plate. The Christoffel’s equation is solved to calculate the phase velocity of different wavefronts present at any point in the problem geometry. The calculated phase velocity is then used to develop the Green’s function. The anisotropic Green’s function was developed by implementing Radon transform and Spectral theorem into governing elastodynamic equation. Then the wave behavior in the anisotropic plate is simulated and studied by instigating the calculated Green’s function into the computational non-destructive evaluation (CNDE) technique, distributed point source method (DPSM). The wave propagation with different actuation angles for the transducer are simulated in plate with various forms of anisotropy such as transversely isotropic, orthotropic and, monoclinic plate. The study was performed such that the different anisotropic wave behaviors can be understood to the maximum extent in simplest form. The actuation angle used is normal incidence angle from the perpendicular to problem geometry surface with the actuation frequency of 1MHz. MATLAB is used for coding and simulation.
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