#### Location

San Diego, CA

#### Start Date

1-1-1985 12:00 AM

#### Description

Numerical analysis techniques have been successfully applied to the modeling of electromagnetic field/defect interactions1 Studies of magnetostatic leakage field and eddy current NDT phenomena have clearly shown that finite element codes can be used effectively for probe design2 and the simulation of test geometries difficult to replicate in the laboratory3. In extending these codes to three dimensional geometries4 and pulsed eddy current phenomena5, it was realized that the required computing capability should also be sufficient to model ultrasound/defect interactions directly in the time domain. Increasing availability of powerful vector computers6 bodes well for the ultimate solution of the generic NDT problem in which it is desired to predict the probe response to any arbitrarily shaped defect. As a first step in this direction, the NDT research group at Colorado State University, following the pioneering numerical efforts of Bond7 and Dewey8, has developed a finite element code for direct time domain solution of the elastic wave equation (Figure 1 shows the relationship between numerical and analytical approaches). The following sections describe the finite element formulation and the application of the code to the prediction of 2-D displacements in a rectangular bar excited at one end by a step input of force.

#### Book Title

Review of Progress in Quantitative Nondestructive Evaluation

#### Volume

4A

#### Chapter

Chapter 1: Ultrasonics

#### Section

Scattering

#### Pages

37-43

#### DOI

10.1007/978-1-4615-9421-5_5

#### Copyright Owner

Springer-Verlag US

#### Copyright Date

January 1985

#### Language

en

#### File Format

Application/pdf

A Finite Element Formulation for Ultrasonic NDT Modeling

San Diego, CA

Numerical analysis techniques have been successfully applied to the modeling of electromagnetic field/defect interactions1 Studies of magnetostatic leakage field and eddy current NDT phenomena have clearly shown that finite element codes can be used effectively for probe design2 and the simulation of test geometries difficult to replicate in the laboratory3. In extending these codes to three dimensional geometries4 and pulsed eddy current phenomena5, it was realized that the required computing capability should also be sufficient to model ultrasound/defect interactions directly in the time domain. Increasing availability of powerful vector computers6 bodes well for the ultimate solution of the generic NDT problem in which it is desired to predict the probe response to any arbitrarily shaped defect. As a first step in this direction, the NDT research group at Colorado State University, following the pioneering numerical efforts of Bond7 and Dewey8, has developed a finite element code for direct time domain solution of the elastic wave equation (Figure 1 shows the relationship between numerical and analytical approaches). The following sections describe the finite element formulation and the application of the code to the prediction of 2-D displacements in a rectangular bar excited at one end by a step input of force.