Weak form implementation of the semi-analytical finite element (SAFE) method for a variety of elastodynamic waveguides

Christopher Hakoda, Clifford Jesse Lissenden, III, Joseph Lawrence Rose

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Dispersion curves are essential to any guided wave NDE project. The Semi-Analytical Finite Element (SAFE) method has significantly increased the ease by which these curves can be calculated. However, due to misconceptions regarding theory and fragmentation based on different finite-element software, the theory has stagnated, and adoption by researchers who are new to the field has been slow. This paper focuses on the relationship between the SAFE formulation and finite element theory, and the implementation of the SAFE method in a weak form for plates, pipes, layered waveguides/composites, curved waveguides, and arbitrary cross-sections is shown. The benefits of the weak form are briefly described, as is implementation in open-source and commercial finite element software.

Original languageEnglish (US)
Title of host publication44th Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 37
EditorsDale E. Chimenti, Leonard J. Bond
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735416444
DOIs
StatePublished - Apr 20 2018
Event44th Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2017 - Provo, United States
Duration: Jul 16 2017Jul 21 2017

Publication series

NameAIP Conference Proceedings
Volume1949
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other44th Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2017
CountryUnited States
CityProvo
Period7/16/177/21/17

Fingerprint

elastodynamics
finite element method
waveguides
computer programs
curves
fragmentation
formulations
composite materials
cross sections

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Hakoda, C., Lissenden, III, C. J., & Rose, J. L. (2018). Weak form implementation of the semi-analytical finite element (SAFE) method for a variety of elastodynamic waveguides. In D. E. Chimenti, & L. J. Bond (Eds.), 44th Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 37 [230001] (AIP Conference Proceedings; Vol. 1949). American Institute of Physics Inc.. https://doi.org/10.1063/1.5031648
Hakoda, Christopher ; Lissenden, III, Clifford Jesse ; Rose, Joseph Lawrence. / Weak form implementation of the semi-analytical finite element (SAFE) method for a variety of elastodynamic waveguides. 44th Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 37. editor / Dale E. Chimenti ; Leonard J. Bond. American Institute of Physics Inc., 2018. (AIP Conference Proceedings).
@inproceedings{92e1287ed4a344618e5d383fbf18a84a,
title = "Weak form implementation of the semi-analytical finite element (SAFE) method for a variety of elastodynamic waveguides",
abstract = "Dispersion curves are essential to any guided wave NDE project. The Semi-Analytical Finite Element (SAFE) method has significantly increased the ease by which these curves can be calculated. However, due to misconceptions regarding theory and fragmentation based on different finite-element software, the theory has stagnated, and adoption by researchers who are new to the field has been slow. This paper focuses on the relationship between the SAFE formulation and finite element theory, and the implementation of the SAFE method in a weak form for plates, pipes, layered waveguides/composites, curved waveguides, and arbitrary cross-sections is shown. The benefits of the weak form are briefly described, as is implementation in open-source and commercial finite element software.",
author = "Christopher Hakoda and {Lissenden, III}, {Clifford Jesse} and Rose, {Joseph Lawrence}",
year = "2018",
month = "4",
day = "20",
doi = "10.1063/1.5031648",
language = "English (US)",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Chimenti, {Dale E.} and Bond, {Leonard J.}",
booktitle = "44th Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 37",

}

Hakoda, C, Lissenden, III, CJ & Rose, JL 2018, Weak form implementation of the semi-analytical finite element (SAFE) method for a variety of elastodynamic waveguides. in DE Chimenti & LJ Bond (eds), 44th Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 37., 230001, AIP Conference Proceedings, vol. 1949, American Institute of Physics Inc., 44th Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2017, Provo, United States, 7/16/17. https://doi.org/10.1063/1.5031648

Weak form implementation of the semi-analytical finite element (SAFE) method for a variety of elastodynamic waveguides. / Hakoda, Christopher; Lissenden, III, Clifford Jesse; Rose, Joseph Lawrence.

44th Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 37. ed. / Dale E. Chimenti; Leonard J. Bond. American Institute of Physics Inc., 2018. 230001 (AIP Conference Proceedings; Vol. 1949).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Weak form implementation of the semi-analytical finite element (SAFE) method for a variety of elastodynamic waveguides

AU - Hakoda, Christopher

AU - Lissenden, III, Clifford Jesse

AU - Rose, Joseph Lawrence

PY - 2018/4/20

Y1 - 2018/4/20

N2 - Dispersion curves are essential to any guided wave NDE project. The Semi-Analytical Finite Element (SAFE) method has significantly increased the ease by which these curves can be calculated. However, due to misconceptions regarding theory and fragmentation based on different finite-element software, the theory has stagnated, and adoption by researchers who are new to the field has been slow. This paper focuses on the relationship between the SAFE formulation and finite element theory, and the implementation of the SAFE method in a weak form for plates, pipes, layered waveguides/composites, curved waveguides, and arbitrary cross-sections is shown. The benefits of the weak form are briefly described, as is implementation in open-source and commercial finite element software.

AB - Dispersion curves are essential to any guided wave NDE project. The Semi-Analytical Finite Element (SAFE) method has significantly increased the ease by which these curves can be calculated. However, due to misconceptions regarding theory and fragmentation based on different finite-element software, the theory has stagnated, and adoption by researchers who are new to the field has been slow. This paper focuses on the relationship between the SAFE formulation and finite element theory, and the implementation of the SAFE method in a weak form for plates, pipes, layered waveguides/composites, curved waveguides, and arbitrary cross-sections is shown. The benefits of the weak form are briefly described, as is implementation in open-source and commercial finite element software.

UR - http://www.scopus.com/inward/record.url?scp=85046431383&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85046431383&partnerID=8YFLogxK

U2 - 10.1063/1.5031648

DO - 10.1063/1.5031648

M3 - Conference contribution

AN - SCOPUS:85046431383

T3 - AIP Conference Proceedings

BT - 44th Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 37

A2 - Chimenti, Dale E.

A2 - Bond, Leonard J.

PB - American Institute of Physics Inc.

ER -

Hakoda C, Lissenden, III CJ, Rose JL. Weak form implementation of the semi-analytical finite element (SAFE) method for a variety of elastodynamic waveguides. In Chimenti DE, Bond LJ, editors, 44th Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 37. American Institute of Physics Inc. 2018. 230001. (AIP Conference Proceedings). https://doi.org/10.1063/1.5031648