scholarly journals Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing

2013 ◽  
Vol 2013 ◽  
pp. 1-20 ◽  
Author(s):  
A. Carpio ◽  
M.-L. Rapún
Keyword(s):  
Nondestructive Testing ◽  
Boundary Conditions ◽  
Hybrid Method ◽  
Material Properties ◽  
Electrical Impedance ◽  
Realistic Model ◽  
Topological Derivative ◽  
Impedance Tomography ◽  
Time Harmonic ◽  
Gradient Based

This paper is devoted to the reconstruction of objects buried in a medium and their material properties by hybrid topological derivative-gradient based methods. After illustrating the techniques in time-harmonic acoustic problems with different boundary conditions and in electrical impedance tomography problems with continuous Neumann conditions, we extend the hybrid method for a realistic model in tomography where the boundary conditions are given at a discrete set of electrodes.

Hybrid Holographic-Numerical Method for Vibration Studies

1995 ◽  
Author(s):  
Joseph Der Hovanesian ◽  
Y. Y. Hung ◽  
Paul S. Sherman
Keyword(s):  
Boundary Conditions ◽  
Numerical Method ◽  
Hybrid Method ◽  
Material Properties ◽  
Holographic Interferometry ◽  
Discrete Elements ◽  
Vibrating Structures ◽  
Influence Coefficients ◽  
Material Behaviors ◽  
Eigen Values

Abstract This paper presents a hybrid experimental-numerical method for studying dynamic characteristic of vibrating structures. A continuous structure is first lumped into a number of discrete elements and its influence coefficients are measured by holographic interferometry. The eigen values and eigen vectors of the lumped system are then calculated. A major adavantage of the hybrid method is that it is not necessary to know material properties and idealize the boundary conditions, as the measured influcence coefficients will automatically reflect the real boundary and the material behaviors.

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