Skip to main content
Erschienen in: Experimental Mechanics 9/2016

15.07.2016

Acoustoelastic Coefficients in Thick Steel Plates under Normal and Shear Stresses

verfasst von: Z. Abbasi, D. Ozevin

Erschienen in: Experimental Mechanics | Ausgabe 9/2016

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Ultrasonic monitoring of the integrity of structural materials utilizes the acoustoelasticity of materials (stress-dependence of ultrasonic wave velocity) obtained from the higher order strain terms in the constitutive equations. This method has been applied to measure residual and applied stresses in thin metals under principal stresses without shear. Here, acoustoelastic coefficients are determined in thick steel plates in normal, orthogonal, and angled directions by means of an array of ultrasonic sensors. A three-dimensional material model is developed which includes Murnaghan hyper-elasticity and can determine the effects of plate thickness and excitation frequency on the acoustoelastic coefficients. This model is experimentally validated by tensile loading of a thick steel plate by measuring the ultrasonic signals in three directions. Numerical and experimental results agree within the measurement uncertainties of each method. The 1.0 MHz ultrasonic frequency has the highest resolution for measuring normal and shear stresses in structural plates typically used in highway bridges.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Liao M, Okazaki T, Ballarini R, Schultz A, Galambos T (2011) Nonlinear finite-element analysis of critical gusset plates in the I-35W bridge in Minnesota. J Struct Eng 137(1):59–68CrossRef Liao M, Okazaki T, Ballarini R, Schultz A, Galambos T (2011) Nonlinear finite-element analysis of critical gusset plates in the I-35W bridge in Minnesota. J Struct Eng 137(1):59–68CrossRef
2.
Zurück zum Zitat Steinzig M, Ponslet E (2003) Residual stress measurement using the Hole-Drilling method and laser speckle interferometry: PART 1. Exp Tech 27(3):43–46CrossRef Steinzig M, Ponslet E (2003) Residual stress measurement using the Hole-Drilling method and laser speckle interferometry: PART 1. Exp Tech 27(3):43–46CrossRef
3.
Zurück zum Zitat Withers PJ, Bhadeshia HKDH (2001) Residual stress, part 1 – measurement techniques. J Mater Sci Technol 17:355–365CrossRef Withers PJ, Bhadeshia HKDH (2001) Residual stress, part 1 – measurement techniques. J Mater Sci Technol 17:355–365CrossRef
4.
Zurück zum Zitat Prevey PS (1996) Current applications of X-ray diffraction residual stress measurement. In: Vander Voort G, Friel J (eds) Developments in materials characterization technologies. ASM International, Materials Park, OH, pp 103–110 Prevey PS (1996) Current applications of X-ray diffraction residual stress measurement. In: Vander Voort G, Friel J (eds) Developments in materials characterization technologies. ASM International, Materials Park, OH, pp 103–110
5.
Zurück zum Zitat Ruud CO (1982) A review of selected non-destructive methods for residual stress measurement. NDT Int 15:15–23CrossRef Ruud CO (1982) A review of selected non-destructive methods for residual stress measurement. NDT Int 15:15–23CrossRef
6.
Zurück zum Zitat Fitzpatrick ME, Fry AT, Holdway P, Kandil FA, Shakleton J, Souminen L (2005) Determination of residual stresses by x-ray diffraction, measurement good practice guide No 52. National Physics Laboratory, UK Fitzpatrick ME, Fry AT, Holdway P, Kandil FA, Shakleton J, Souminen L (2005) Determination of residual stresses by x-ray diffraction, measurement good practice guide No 52. National Physics Laboratory, UK
7.
Zurück zum Zitat Wang Z, Gu Y, Wang Y (2012) A review of three magnetic NDT technologies. Magn Magn Mater 324:382–388CrossRef Wang Z, Gu Y, Wang Y (2012) A review of three magnetic NDT technologies. Magn Magn Mater 324:382–388CrossRef
8.
Zurück zum Zitat Rossini N, Dassisti M, Benyounis K, Olabi A (2012) Methods of measuring residual stresses in components. Mater Des 35:572–588CrossRef Rossini N, Dassisti M, Benyounis K, Olabi A (2012) Methods of measuring residual stresses in components. Mater Des 35:572–588CrossRef
10.
Zurück zum Zitat Hughes DS, Kelly JL (1953) Second order elastic deformation of solids. Phys Rev 92(5):1145–1149CrossRefMATH Hughes DS, Kelly JL (1953) Second order elastic deformation of solids. Phys Rev 92(5):1145–1149CrossRefMATH
11.
Zurück zum Zitat Lanza di Scalea F, Rizzo P, Seible F (2003) Stress measurement and defect detection in steel strands by guided stress waves. J Mater Civ Eng 15(3):219–227CrossRef Lanza di Scalea F, Rizzo P, Seible F (2003) Stress measurement and defect detection in steel strands by guided stress waves. J Mater Civ Eng 15(3):219–227CrossRef
12.
Zurück zum Zitat Chaki S, Bourse G (2009) Stress level measurement in prestressed steel strands using acoustoelastic effect. Exp Mech 49:673–681CrossRef Chaki S, Bourse G (2009) Stress level measurement in prestressed steel strands using acoustoelastic effect. Exp Mech 49:673–681CrossRef
13.
Zurück zum Zitat Salamone S, Bartoli I, Srivastava A, Philips R, Nucera C, Scalea FLD (2009) Nonlinear ultrasonic guided waves for stress monitoring in Prestressing tendons for post-tensioned concrete structures. ASNT NDE/NDT for Highways and Bridges, New York Salamone S, Bartoli I, Srivastava A, Philips R, Nucera C, Scalea FLD (2009) Nonlinear ultrasonic guided waves for stress monitoring in Prestressing tendons for post-tensioned concrete structures. ASNT NDE/NDT for Highways and Bridges, New York
14.
Zurück zum Zitat Gokhale S (2007) Determination of applied stresses in rails using the acoustoelastic effect of ultrasonic waves. M.SC Thesis. Texas A & M University Gokhale S (2007) Determination of applied stresses in rails using the acoustoelastic effect of ultrasonic waves. M.SC Thesis. Texas A & M University
15.
Zurück zum Zitat Szelazek J (2013) Sets of piezoelectric probeheads for stress evaluation with subsurface waves. J Nondestruct Eval 32:188–199CrossRef Szelazek J (2013) Sets of piezoelectric probeheads for stress evaluation with subsurface waves. J Nondestruct Eval 32:188–199CrossRef
16.
Zurück zum Zitat Kato M, Sato T, Kameyama K, Ninoyu H (1995) Estimation of the stress distribution in metals using nonlinear acoustoelasticity. J Acoust Soc Am 98:1496–1504CrossRef Kato M, Sato T, Kameyama K, Ninoyu H (1995) Estimation of the stress distribution in metals using nonlinear acoustoelasticity. J Acoust Soc Am 98:1496–1504CrossRef
17.
Zurück zum Zitat Kino GS, Hunter JB, Johnson GC, Selfridge AR, Barnett DM, Hermann G, Steele CR (1978) Acoustoelastic imaging of stress fields. J Appl Phys 50(4):2607–2613CrossRef Kino GS, Hunter JB, Johnson GC, Selfridge AR, Barnett DM, Hermann G, Steele CR (1978) Acoustoelastic imaging of stress fields. J Appl Phys 50(4):2607–2613CrossRef
18.
Zurück zum Zitat Allen DR, Sayers CM (1984) The measurement of residual stresses in textured steel using an ultrasonic velocity combinations technique. J Ultrasonics 22:179–188CrossRef Allen DR, Sayers CM (1984) The measurement of residual stresses in textured steel using an ultrasonic velocity combinations technique. J Ultrasonics 22:179–188CrossRef
19.
Zurück zum Zitat Kobayashi H, Arai Y, Ohsawa H, Nakamura H, Todoroki A (1992) Nondestructive measurement of welding residual stresses by acoustoelastic technique and prediction of fatigue crack growth. ASME J Press Vessel Technol 114:417–421CrossRef Kobayashi H, Arai Y, Ohsawa H, Nakamura H, Todoroki A (1992) Nondestructive measurement of welding residual stresses by acoustoelastic technique and prediction of fatigue crack growth. ASME J Press Vessel Technol 114:417–421CrossRef
20.
Zurück zum Zitat Leon-Salamanca T, Bray DE (1996) Residual stress measurement in steel plates and welds using critically refracted longitudinal (LCR) waves. Res Nondestruct Eval 7:169184CrossRef Leon-Salamanca T, Bray DE (1996) Residual stress measurement in steel plates and welds using critically refracted longitudinal (LCR) waves. Res Nondestruct Eval 7:169184CrossRef
21.
Zurück zum Zitat Lu H, Liu XS, Yang JG, Zhang SP, Fang HY (2008) Ultrasonic stress evaluation on welded plates with Lcr wave. Sci Technol Weld Join 13:7075 Lu H, Liu XS, Yang JG, Zhang SP, Fang HY (2008) Ultrasonic stress evaluation on welded plates with Lcr wave. Sci Technol Weld Join 13:7075
22.
Zurück zum Zitat Walaszek H, Hoblos J, Bourse G, Robin C (2002) Effect of microstructure on ultrasonic measurements of residual stresses in welded joints. In: Dias AM, Pina J, Batista AC, Diogo E (eds) ECRS 6 : proceedings of the 6th European Conference on Residual Stresses, Coimbra, Portugal, 10-12 July, 2002. Mater Sci Forum, vol 404. Trans Tech Publications, Switzerland, pp 875–880 Walaszek H, Hoblos J, Bourse G, Robin C (2002) Effect of microstructure on ultrasonic measurements of residual stresses in welded joints. In: Dias AM, Pina J, Batista AC, Diogo E (eds) ECRS 6 : proceedings of the 6th European Conference on Residual Stresses, Coimbra, Portugal, 10-12 July, 2002. Mater Sci Forum, vol 404. Trans Tech Publications, Switzerland, pp 875–880
23.
Zurück zum Zitat Uzun F, Bilge AN (2011) Immersion ultrasonic technique for investigation of total welding residual stress. Procedia Eng 10:30983103CrossRef Uzun F, Bilge AN (2011) Immersion ultrasonic technique for investigation of total welding residual stress. Procedia Eng 10:30983103CrossRef
24.
Zurück zum Zitat Fukuhara M, Kuwano Y, Saito K, Hirasawa T, Komura I (1998) Performance of nondestructive evaluation by diffracted SH ultrasonic waves in predicting degree of fatigue in cyclic bending of ferritic steel. J Nondestruct Eval Int 31:211–216 Fukuhara M, Kuwano Y, Saito K, Hirasawa T, Komura I (1998) Performance of nondestructive evaluation by diffracted SH ultrasonic waves in predicting degree of fatigue in cyclic bending of ferritic steel. J Nondestruct Eval Int 31:211–216
25.
Zurück zum Zitat Berruti T, Gola MM (1996) Acoustoelastic determination of stresses in steel using Rayleigh ultrasonic waves. In: Batros AL, Green RE, Ruud CO (eds) Nondestructive characterization of materials VII. Transtec Pub. Ltd, Lebanon, pp 171–178, Part 1 Berruti T, Gola MM (1996) Acoustoelastic determination of stresses in steel using Rayleigh ultrasonic waves. In: Batros AL, Green RE, Ruud CO (eds) Nondestructive characterization of materials VII. Transtec Pub. Ltd, Lebanon, pp 171–178, Part 1
26.
Zurück zum Zitat Sanderson RM, Shen YC (2010) Measurement of residual stress using laser-generated ultrasound. J Press Vessels Pip 87:762–765CrossRef Sanderson RM, Shen YC (2010) Measurement of residual stress using laser-generated ultrasound. J Press Vessels Pip 87:762–765CrossRef
27.
Zurück zum Zitat Kim N, Hong M (2009) Measurement of axial stress using mode-converted ultrasound. J NDT & E Int 42:164–169CrossRef Kim N, Hong M (2009) Measurement of axial stress using mode-converted ultrasound. J NDT & E Int 42:164–169CrossRef
28.
Zurück zum Zitat Javadi Y, Akhlaghi M, Ahmadi Najafabadi M (2003) Using finite element and ultrasonic method to evaluate welding longitudinal residual stress through the thickness in austenitic stainless steel plates. J Mater Des 45:628–642CrossRef Javadi Y, Akhlaghi M, Ahmadi Najafabadi M (2003) Using finite element and ultrasonic method to evaluate welding longitudinal residual stress through the thickness in austenitic stainless steel plates. J Mater Des 45:628–642CrossRef
29.
Zurück zum Zitat Todaro ME, Capsimalis GP (1986) Acoustoelastic effect for Rayleigh surface waves in the presence of a non-uniform stress field. Proc IEEE Ultrason Symp 1:229232 Todaro ME, Capsimalis GP (1986) Acoustoelastic effect for Rayleigh surface waves in the presence of a non-uniform stress field. Proc IEEE Ultrason Symp 1:229232
30.
Zurück zum Zitat Deputat J (1990) Application of acoustoelastic effect in measurements of residual stresses. Arch Acoust 15(1-2):69–92 Deputat J (1990) Application of acoustoelastic effect in measurements of residual stresses. Arch Acoust 15(1-2):69–92
31.
Zurück zum Zitat Sgalla M, Vangi D (2003) A device for measuring the velocity of ultrasonic waves: an application to stress analysis. J Exp Mech 44(1):85–90CrossRef Sgalla M, Vangi D (2003) A device for measuring the velocity of ultrasonic waves: an application to stress analysis. J Exp Mech 44(1):85–90CrossRef
32.
Zurück zum Zitat Buenos AA, Pereira P Jr, Mei PR, dos Santos AA (2014) Influence of grain size on the propagation of LCR waves in low carbon steel. J Nondestruct Eval 33:562–570CrossRef Buenos AA, Pereira P Jr, Mei PR, dos Santos AA (2014) Influence of grain size on the propagation of LCR waves in low carbon steel. J Nondestruct Eval 33:562–570CrossRef
33.
Zurück zum Zitat Jassby K, Saltoun D (1982) Use of ultrasonic Rayleigh waves for the measurement of applied biaxial surface stresses in aluminum 2024-T351 alloy. J Mater Eval 40(2):198–205 Jassby K, Saltoun D (1982) Use of ultrasonic Rayleigh waves for the measurement of applied biaxial surface stresses in aluminum 2024-T351 alloy. J Mater Eval 40(2):198–205
35.
Zurück zum Zitat Vangi D (2001) Stress evaluation by pulse-echo ultrasonic longitudinal wave. J Exp Mech 41:277–281CrossRef Vangi D (2001) Stress evaluation by pulse-echo ultrasonic longitudinal wave. J Exp Mech 41:277–281CrossRef
36.
Zurück zum Zitat Duquennoy M, Ouaftouh M, Ourak M (1999) Ultrasonic evaluation of stresses in orthotropic materials using Rayleigh waves. J NDT & E Int 32:189–199CrossRef Duquennoy M, Ouaftouh M, Ourak M (1999) Ultrasonic evaluation of stresses in orthotropic materials using Rayleigh waves. J NDT & E Int 32:189–199CrossRef
37.
Zurück zum Zitat Akhshik S, Moharrami R (2009) Improvement in accuracy of the measurement of residual stress Due to circumferential welds in thin-walled pipe using Rayleigh wave method. J Nucl Eng Des 239(10):2201–2208CrossRef Akhshik S, Moharrami R (2009) Improvement in accuracy of the measurement of residual stress Due to circumferential welds in thin-walled pipe using Rayleigh wave method. J Nucl Eng Des 239(10):2201–2208CrossRef
38.
Zurück zum Zitat Hu E, He Y, Chen Y (2009) Experimental study on the surface stress measurement with Rayleigh wave detection technique. J Appl Acoust 70:356–360CrossRef Hu E, He Y, Chen Y (2009) Experimental study on the surface stress measurement with Rayleigh wave detection technique. J Appl Acoust 70:356–360CrossRef
39.
Zurück zum Zitat Gandhi N (2010) Determination of dispersion curves for acoustoelastic lamb wave propagation, M.SC. Thesis. Georgia Institute of Technology University Gandhi N (2010) Determination of dispersion curves for acoustoelastic lamb wave propagation, M.SC. Thesis. Georgia Institute of Technology University
40.
Zurück zum Zitat Rogerson GA, Sandiford KJ (1999) Harmonic wave propagation along a non-principal direction in a pre-stressed elastic plate. J Eng Sci 37:1663–1691MathSciNetCrossRefMATH Rogerson GA, Sandiford KJ (1999) Harmonic wave propagation along a non-principal direction in a pre-stressed elastic plate. J Eng Sci 37:1663–1691MathSciNetCrossRefMATH
41.
Zurück zum Zitat Destrade M, Ogden RW (2005) Surface waves in a stretched and sheared incompressible elastic material. J Non-Linear Mech 40:241–253CrossRefMATH Destrade M, Ogden RW (2005) Surface waves in a stretched and sheared incompressible elastic material. J Non-Linear Mech 40:241–253CrossRefMATH
42.
Zurück zum Zitat Destrade M, Otténio M, Pichugin AV, Rogerson GA (2005) Non-principal surface waves in deformed incompressible materials. J Eng Sci 43:1092–1106MathSciNetCrossRefMATH Destrade M, Otténio M, Pichugin AV, Rogerson GA (2005) Non-principal surface waves in deformed incompressible materials. J Eng Sci 43:1092–1106MathSciNetCrossRefMATH
43.
44.
Zurück zum Zitat Connor P, Ogden RW (1996) The influence of shear strain and hydrostatic stress on stability and elastic waves in a layer. J Eng Sci 34(4):375–397MathSciNetCrossRefMATH Connor P, Ogden RW (1996) The influence of shear strain and hydrostatic stress on stability and elastic waves in a layer. J Eng Sci 34(4):375–397MathSciNetCrossRefMATH
45.
Zurück zum Zitat Shi F, Michaels JE, Lee SJ (2012) In situ estimation of applied biaxial loads with lamb waves. J Acoust Soc Am 133(2):677–687CrossRef Shi F, Michaels JE, Lee SJ (2012) In situ estimation of applied biaxial loads with lamb waves. J Acoust Soc Am 133(2):677–687CrossRef
46.
Zurück zum Zitat Egle DM, Bray DE (1976) Measurement of acoustoelastic and third-order elastic constants for rail steel. J Acoust Soc Am 60(3):741–744CrossRef Egle DM, Bray DE (1976) Measurement of acoustoelastic and third-order elastic constants for rail steel. J Acoust Soc Am 60(3):741–744CrossRef
47.
Zurück zum Zitat Piersol AG (1981) Time delay estimation using phase data. J IEEE Trans Acoust 29(3):471–477CrossRef Piersol AG (1981) Time delay estimation using phase data. J IEEE Trans Acoust 29(3):471–477CrossRef
48.
Zurück zum Zitat Makhort FG, Gushcha OI, Chernoochenko AA (1990) Theory of acoustoelasticity of Rayleigh surface waves. J Int Appl Mech 26(4):346–350MATH Makhort FG, Gushcha OI, Chernoochenko AA (1990) Theory of acoustoelasticity of Rayleigh surface waves. J Int Appl Mech 26(4):346–350MATH
49.
Zurück zum Zitat Abbasi Z, Cunningham M, Ozevin O (2015) The quantification of errors in the measurement of nonlinear ultrasonics. SAE Conference, MichiganCrossRef Abbasi Z, Cunningham M, Ozevin O (2015) The quantification of errors in the measurement of nonlinear ultrasonics. SAE Conference, MichiganCrossRef
Metadaten
Titel
Acoustoelastic Coefficients in Thick Steel Plates under Normal and Shear Stresses
verfasst von
Z. Abbasi
D. Ozevin
Publikationsdatum
15.07.2016
Verlag
Springer US
Erschienen in
Experimental Mechanics / Ausgabe 9/2016
Print ISSN: 0014-4851
Elektronische ISSN: 1741-2765
DOI
https://doi.org/10.1007/s11340-016-0186-6

Weitere Artikel der Ausgabe 9/2016

Experimental Mechanics 9/2016 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.