Skip to main content
Erschienen in: Meccanica 6/2015

01.06.2015

A study of the residual stress induced by shot peening for an isotropic material based on Prager’s yield criterion for combined stresses

verfasst von: J. Davis, M. Ramulu

Erschienen in: Meccanica | Ausgabe 6/2015

Einloggen

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

search-config
loading …

Abstract

Prager developed a yield criterion for a generalized isotropic material that is more capable of predicting material behavior that occurs from combined loading. A less studied topic is the effect of combined loading on the residual stress state. The purpose of the present work is to develop a theoretical model for a residual stress based on Prager’s relation and establish how the predictions are influenced. Prager’s yield criterion which includes the third deviatoric invariant, J3, provides a way to estimate the influence J3 has on the residual stress. The analyzed residual stress originates from shot peening because much experimental data exists to compare and validate the theoretical results.

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!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Lode W (1926) Versuche ber den Einflu der mittleren Hauptspannung aus das Flieen der Metalle. Zeitschrift fr Physik 36:913–939CrossRefADS Lode W (1926) Versuche ber den Einflu der mittleren Hauptspannung aus das Flieen der Metalle. Zeitschrift fr Physik 36:913–939CrossRefADS
2.
Zurück zum Zitat Hill R (1956) The mathematical theory of plasticity. Oxford University Press, London Hill R (1956) The mathematical theory of plasticity. Oxford University Press, London
3.
Zurück zum Zitat Taylor GI, Quinney H (1931) The plastic distortion of metals. Philos Trans R Soc Lond A 230:323–361CrossRefADSMATH Taylor GI, Quinney H (1931) The plastic distortion of metals. Philos Trans R Soc Lond A 230:323–361CrossRefADSMATH
4.
Zurück zum Zitat Prager W (1937) Mecanique des solides isotropes au dela du domaine elastique. Mem Sci Math 87:1–66 Prager W (1937) Mecanique des solides isotropes au dela du domaine elastique. Mem Sci Math 87:1–66
6.
Zurück zum Zitat Drucker DC (1949) Relation to experiments to mathematical theories of plasticity. J Appl Mech 16:349–357MATHMathSciNet Drucker DC (1949) Relation to experiments to mathematical theories of plasticity. J Appl Mech 16:349–357MATHMathSciNet
7.
Zurück zum Zitat Edelman F, Drucker DC (1951) Some extensions of elementary plasticity theory. J Frankl Inst Eng Appl Math 251:581–605CrossRefMathSciNet Edelman F, Drucker DC (1951) Some extensions of elementary plasticity theory. J Frankl Inst Eng Appl Math 251:581–605CrossRefMathSciNet
8.
Zurück zum Zitat Michno MJ, Findley WN (1976) An historical perspective of yield surface investigation for metals. Int J Non Linear Mech 11:59–82CrossRefMATH Michno MJ, Findley WN (1976) An historical perspective of yield surface investigation for metals. Int J Non Linear Mech 11:59–82CrossRefMATH
10.
11.
Zurück zum Zitat Davis JL, Bae H, Ramulu M (2011) Theoretical and experimental study of coverage in manual shot peening, 11th international conference on shot peening, pp 165–170 Davis JL, Bae H, Ramulu M (2011) Theoretical and experimental study of coverage in manual shot peening, 11th international conference on shot peening, pp 165–170
12.
Zurück zum Zitat Flavenot JF, Nikular A (1977) La mesure des contraintes residuelles: methode de la (Fleche) Methode de la (Source de Constraintes), Les Memories Technique du CETIM, 31 Flavenot JF, Nikular A (1977) La mesure des contraintes residuelles: methode de la (Fleche) Methode de la (Source de Constraintes), Les Memories Technique du CETIM, 31
13.
Zurück zum Zitat Al-Hassani STS (1981) Mechanical aspects of residual stress development in shot peening, first international conference on shot peening, pp 583–602 Al-Hassani STS (1981) Mechanical aspects of residual stress development in shot peening, first international conference on shot peening, pp 583–602
14.
Zurück zum Zitat Guechichi H, Castex L, Frelat J, Inglebert G (1986) Predicting residual stresses due to shot peening. In: Meguid SA (ed) Impact surface treatment. Elsevier, Applied Science Publishers LTD, New York, pp 11–22 Guechichi H, Castex L, Frelat J, Inglebert G (1986) Predicting residual stresses due to shot peening. In: Meguid SA (ed) Impact surface treatment. Elsevier, Applied Science Publishers LTD, New York, pp 11–22
15.
Zurück zum Zitat Li JK, Mei Y, Duo W, Renzhi W (1991) Mechanical approach to the residual stress field induced by shot peening. Mater Sci Eng A 147:167–173CrossRef Li JK, Mei Y, Duo W, Renzhi W (1991) Mechanical approach to the residual stress field induced by shot peening. Mater Sci Eng A 147:167–173CrossRef
16.
Zurück zum Zitat Miao HY, Larose S, Perron C, Levesque M (2010) An analytical approach to relate shot peening parameters to almen intensity. Surf Coat Technol 205:2055–2066CrossRef Miao HY, Larose S, Perron C, Levesque M (2010) An analytical approach to relate shot peening parameters to almen intensity. Surf Coat Technol 205:2055–2066CrossRef
17.
Zurück zum Zitat Gariepy A, Larose S, Perron C, Levesque M (2011) Shot peening and peen forming finite element modelling—towards a quantitative method. Int J Solids Struct 48:2859–2877CrossRef Gariepy A, Larose S, Perron C, Levesque M (2011) Shot peening and peen forming finite element modelling—towards a quantitative method. Int J Solids Struct 48:2859–2877CrossRef
18.
Zurück zum Zitat Kobayashi M, Matsui T, Murakami Y (1998) Mechanism of creation of compressive residual stress by shot peening. Int J Fatigue 20:351–357CrossRef Kobayashi M, Matsui T, Murakami Y (1998) Mechanism of creation of compressive residual stress by shot peening. Int J Fatigue 20:351–357CrossRef
19.
Zurück zum Zitat Gangaraj SMH, Guagliano M (2014) An approach to relate shot peening finite element simulation to the actual coverage. Surf Coat Technol 243:39–45CrossRef Gangaraj SMH, Guagliano M (2014) An approach to relate shot peening finite element simulation to the actual coverage. Surf Coat Technol 243:39–45CrossRef
20.
Zurück zum Zitat Nouguier-Lehon C, Zarwel M, Diviani C, Hertz D, Zahouani H, Hoc T (2013) Surface impact analysis in shot peening. Wear 302:1058–1063CrossRef Nouguier-Lehon C, Zarwel M, Diviani C, Hertz D, Zahouani H, Hoc T (2013) Surface impact analysis in shot peening. Wear 302:1058–1063CrossRef
21.
Zurück zum Zitat Kim T, Lee H, Jung S, Lee JH (2014) A 3D FE model with plastic shot for evaluation of equi-biaxial peening residual stress due to mult-impacts. Surf Coat Technol 206:3125–3136CrossRef Kim T, Lee H, Jung S, Lee JH (2014) A 3D FE model with plastic shot for evaluation of equi-biaxial peening residual stress due to mult-impacts. Surf Coat Technol 206:3125–3136CrossRef
22.
Zurück zum Zitat Liu W, Wu G, Zhai C, Ding W, Korsunsky AM (2013) Grain refinement and fatigue strengthening mechanisms in as-extruded Mg-6Zn-0.5Zr and Mg-10Gd-3Y-0.5Zr magnesium alloys by shot peening. Int J Plast 49:16–35CrossRef Liu W, Wu G, Zhai C, Ding W, Korsunsky AM (2013) Grain refinement and fatigue strengthening mechanisms in as-extruded Mg-6Zn-0.5Zr and Mg-10Gd-3Y-0.5Zr magnesium alloys by shot peening. Int J Plast 49:16–35CrossRef
23.
Zurück zum Zitat Schajer GS, Abraham C (2014) Residual stress measurements in finite-thickness materials by hole-drilling. Exp Mech 6:1515–1522CrossRef Schajer GS, Abraham C (2014) Residual stress measurements in finite-thickness materials by hole-drilling. Exp Mech 6:1515–1522CrossRef
24.
Zurück zum Zitat Kunaporn S, Ramulu M, Jenkins MG, Hashish M (2004) Residual stress induced by waterjet peening: a finite element analysis. J Press Vessel Technol 126:333–340CrossRef Kunaporn S, Ramulu M, Jenkins MG, Hashish M (2004) Residual stress induced by waterjet peening: a finite element analysis. J Press Vessel Technol 126:333–340CrossRef
26.
Zurück zum Zitat Stacey A, Webster GA (1988) Determination of residual stress distributions in autofrettaged tubing. Int J Press Vessels Pip 31:205–220CrossRef Stacey A, Webster GA (1988) Determination of residual stress distributions in autofrettaged tubing. Int J Press Vessels Pip 31:205–220CrossRef
27.
Zurück zum Zitat Iliushin AA (1948) Plasticity. National press of technical and theoretical literature, Moscow Chapter 2 Iliushin AA (1948) Plasticity. National press of technical and theoretical literature, Moscow Chapter 2
28.
29.
Zurück zum Zitat Boyce BL, Chen X, Hutchinson JW, Ritchi RO (2001) The residual stress state due to a spherical hard-body impact. Mech Mater 33:441–454CrossRef Boyce BL, Chen X, Hutchinson JW, Ritchi RO (2001) The residual stress state due to a spherical hard-body impact. Mech Mater 33:441–454CrossRef
30.
Zurück zum Zitat Hasegawa N, Watanabe Y, Fukuyama K (1996) Creation of residual stress by high speed collision of a steel ball. In: Symposium on resent research of shot peening, JSSP, society of shot peening technology of Japan, pp 1–7 Hasegawa N, Watanabe Y, Fukuyama K (1996) Creation of residual stress by high speed collision of a steel ball. In: Symposium on resent research of shot peening, JSSP, society of shot peening technology of Japan, pp 1–7
31.
Zurück zum Zitat Watanabe N, Hasegawa N, Matsumura Y (1995) Simulation of residual stress distribution in shot peening. J Soc Mat Sci Jpn 44:5–110 Watanabe N, Hasegawa N, Matsumura Y (1995) Simulation of residual stress distribution in shot peening. J Soc Mat Sci Jpn 44:5–110
32.
Zurück zum Zitat Schiffner K, Droste gen, Helling C (1999) Simulation of residual stresses by shot peening. Comput Struct 72:329–340CrossRefMATH Schiffner K, Droste gen, Helling C (1999) Simulation of residual stresses by shot peening. Comput Struct 72:329–340CrossRefMATH
33.
Zurück zum Zitat Meguid SA, Shagal G, Stranart JC (2002) 3D FE analysis of peening of strain-rate sensitive materials using multiple impingement model. Int J Impact Eng 27:119–134CrossRef Meguid SA, Shagal G, Stranart JC (2002) 3D FE analysis of peening of strain-rate sensitive materials using multiple impingement model. Int J Impact Eng 27:119–134CrossRef
34.
Zurück zum Zitat Rouhaud E, Ouakka A, Ould C, Chaboche J, Francois M (2005) Finite elements model of shot peening, effects of constitutive laws of the material, 9th international conference on shot peening, pp 107–112 Rouhaud E, Ouakka A, Ould C, Chaboche J, Francois M (2005) Finite elements model of shot peening, effects of constitutive laws of the material, 9th international conference on shot peening, pp 107–112
35.
Zurück zum Zitat Hill R, Storakers B, Zdunek AB (1989) A theoretical study of the Brinell Hardness test. Proc R Soc Lond Ser A 423:301–330CrossRefADSMATH Hill R, Storakers B, Zdunek AB (1989) A theoretical study of the Brinell Hardness test. Proc R Soc Lond Ser A 423:301–330CrossRefADSMATH
36.
37.
Zurück zum Zitat Ohashi Y, Tokuda M (1973) Precise measurement of plastic behaviour of mild steel tubular specimens subjected to combined torsion and axial force. J Mech Phys Solids 21:241–261CrossRefADS Ohashi Y, Tokuda M (1973) Precise measurement of plastic behaviour of mild steel tubular specimens subjected to combined torsion and axial force. J Mech Phys Solids 21:241–261CrossRefADS
38.
Zurück zum Zitat Lubliner J (1990) Plasticity theory. Macmillan, New YorkMATH Lubliner J (1990) Plasticity theory. Macmillan, New YorkMATH
39.
Zurück zum Zitat Muro H, Tokuda M (1976) Residual stresses due to rolling contact. J Jpn Soc Lubr Eng 9:621–625 Muro H, Tokuda M (1976) Residual stresses due to rolling contact. J Jpn Soc Lubr Eng 9:621–625
40.
Zurück zum Zitat Cao W, Fathallah R, Castex L (1995) Correlation of almen arc height with residual stresses in shot peening process. Mater Sci Technol 11:967–973CrossRef Cao W, Fathallah R, Castex L (1995) Correlation of almen arc height with residual stresses in shot peening process. Mater Sci Technol 11:967–973CrossRef
41.
Zurück zum Zitat Shen S, Atluri SN (2006) An analytical model for shot peening induced residual stresses. Comput Mater Contin 4:75–85 Shen S, Atluri SN (2006) An analytical model for shot peening induced residual stresses. Comput Mater Contin 4:75–85
42.
Zurück zum Zitat Honda T, Ramulu M, Kobayashi AS (2006) Fatigue of shot peened 7075–T7351 SENB specimen-A 3-D analysis. Fatigue Fract Engng Mater Struct 29:416–424CrossRef Honda T, Ramulu M, Kobayashi AS (2006) Fatigue of shot peened 7075–T7351 SENB specimen-A 3-D analysis. Fatigue Fract Engng Mater Struct 29:416–424CrossRef
43.
Zurück zum Zitat Guagliano M (2001) Relating almen intensity to residual stress induced by shot peening: a numerical approach. J Mat Proc Tech 110:277–286CrossRef Guagliano M (2001) Relating almen intensity to residual stress induced by shot peening: a numerical approach. J Mat Proc Tech 110:277–286CrossRef
Metadaten
Titel
A study of the residual stress induced by shot peening for an isotropic material based on Prager’s yield criterion for combined stresses
verfasst von
J. Davis
M. Ramulu
Publikationsdatum
01.06.2015
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 6/2015
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-015-0109-0

Weitere Artikel der Ausgabe 6/2015

Meccanica 6/2015 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.