Determination of third-order elastic constants using second-harmonic generation in an elastic material with quadratic nonlinearity

M. Braun; L. J. Jacobs; J. Qu; S. Küchler

doi:10.1063/1.3114212

Determination of third-order elastic constants using second-harmonic generation in an elastic material with quadratic nonlinearity

M. Braun
, L. J. Jacobs
, J. Qu
, S. Küchler

Research output: Contribution to journal › Conference article › peer-review

Abstract

This research investigates nonlinear wave propagation in an elastic half-space that has a quadratic nonlinearity in the material's stress-strain relationship. The possibilities of measuring changes in the third-order elastic constants in the wave field arising due to specific boundary conditions are explored. It is shown that changes in both of the third-order elastic constants involved can be quantitatively measured using different nonlinear effects.

Original language	English
Pages (from-to)	246-253
Number of pages	8
Journal	AIP Conference Proceedings
Volume	1096
DOIs	https://doi.org/10.1063/1.3114212
State	Published - 2009
Event	Review of Progress in Quantitative Nondestructive Evaluation - Chicago, IL, United States Duration: 20 Jul 2008 → 25 Jul 2008

Keywords

Nonlinear Elastic Half-Space
Nonlinear Wave Propagation
Third-Order elastic constants

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10.1063/1.3114212

Cite this

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title = "Determination of third-order elastic constants using second-harmonic generation in an elastic material with quadratic nonlinearity",

abstract = "This research investigates nonlinear wave propagation in an elastic half-space that has a quadratic nonlinearity in the material's stress-strain relationship. The possibilities of measuring changes in the third-order elastic constants in the wave field arising due to specific boundary conditions are explored. It is shown that changes in both of the third-order elastic constants involved can be quantitatively measured using different nonlinear effects.",

keywords = "Nonlinear Elastic Half-Space, Nonlinear Wave Propagation, Third-Order elastic constants",

author = "M. Braun and Jacobs, \{L. J.\} and J. Qu and S. K{\"u}chler",

year = "2009",

doi = "10.1063/1.3114212",

language = "English",

volume = "1096",

pages = "246--253",

note = "Review of Progress in Quantitative Nondestructive Evaluation ; Conference date: 20-07-2008 Through 25-07-2008",

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T1 - Determination of third-order elastic constants using second-harmonic generation in an elastic material with quadratic nonlinearity

AU - Braun, M.

AU - Jacobs, L. J.

AU - Qu, J.

AU - Küchler, S.

PY - 2009

Y1 - 2009

N2 - This research investigates nonlinear wave propagation in an elastic half-space that has a quadratic nonlinearity in the material's stress-strain relationship. The possibilities of measuring changes in the third-order elastic constants in the wave field arising due to specific boundary conditions are explored. It is shown that changes in both of the third-order elastic constants involved can be quantitatively measured using different nonlinear effects.

AB - This research investigates nonlinear wave propagation in an elastic half-space that has a quadratic nonlinearity in the material's stress-strain relationship. The possibilities of measuring changes in the third-order elastic constants in the wave field arising due to specific boundary conditions are explored. It is shown that changes in both of the third-order elastic constants involved can be quantitatively measured using different nonlinear effects.

KW - Nonlinear Elastic Half-Space

KW - Nonlinear Wave Propagation

KW - Third-Order elastic constants

UR - https://www.scopus.com/pages/publications/65349113088

UR - https://www.scopus.com/pages/publications/65349113088#tab=citedBy

U2 - 10.1063/1.3114212

DO - 10.1063/1.3114212

M3 - Conference article

AN - SCOPUS:65349113088

SN - 0094-243X

VL - 1096

SP - 246

EP - 253

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

T2 - Review of Progress in Quantitative Nondestructive Evaluation

Y2 - 20 July 2008 through 25 July 2008

ER -

Determination of third-order elastic constants using second-harmonic generation in an elastic material with quadratic nonlinearity

Abstract

Keywords

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