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The ratio of out-of-plane to in-plane stresses for plane strain problems

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References

  1. Capsoni A, Corradi L (1995) A plane strain formulation of the elastic–plastic constitutive law for hardening von mises materials. Int J Solids Struct 32(23):3515–3531

    Article  MATH  Google Scholar 

  2. Capsoni A, Corradi L (1996) Variational formulations for the plane strain elastic–plastic problem for materials governed by the von Mises criterion. Int J Plast 12(4):547–560

    Article  MATH  Google Scholar 

  3. Budiansky B (1971) An exact solution to an elastic–plastic stress concentration problem. Prikl Mat Phys 35:40–48

    Google Scholar 

  4. Eraslan AN (2004) Von Misses’ yield criterion and nonlinearly hardening rotating shafts. Acta Mech 168:129–144

    Article  MATH  Google Scholar 

  5. Gamer U, Mack W, Varga I (1997) Rotating elastic–plastic solid shaft with fixed ends. Int Eng Sci 35:253–267

    Article  MATH  Google Scholar 

  6. Hsu YC, Formam RG (1975) Elastic–plastic analysis of an infinite sheet having a circular hole under pressure. J Appl Mech 42:347–352

    Google Scholar 

  7. Guo WL (1993) Elastic–plastic analysis of a finite sheet with a cold-worked hole. Eng Fract Mech 45:857–864

    Article  Google Scholar 

  8. Guo WL (2002) Theoretical investigation of elastoplastic notch fields under triaxial stress constraint. Int J Fract 115:233–249

    Article  Google Scholar 

  9. Moftahar A, Buczynski A, Glinka G (1995) Caculation of elastoplastic strains and stresses in notches under multiaxial loading. Int J Fract 70:357–373

    Article  Google Scholar 

  10. Hutchinson JW (1968) Singular behavior at the end of a tensile crack in a hardening material. J Mech Phys Solids 16:13–31

    Article  MATH  ADS  Google Scholar 

  11. Li YC, Wang ZQ (1986) High-order asymptotic field of tensile plane-strain nonlinear crack problems. Sci Sin A29:941–955

    Google Scholar 

  12. Ma F, Sutton MA, Deng X (2001) Plane strain mixed mode crack-tip stress fields characterized by a triaxial stress parameter and a plastic deformation extent based characteristic length. J Mech Phys Solids 49:2921–2953

    Article  MATH  ADS  Google Scholar 

  13. Rice JR, Rosengren GR (1968) Plane strain deformation near a crack tip in a power -law hardening material. J Mech Phys Solids 16:1–12

    Article  MATH  ADS  Google Scholar 

  14. Tian CL, Gao YX (2005) Role of elasticity in elastic–plastic fracture. Int J Solids Struct 42(3):951–970

    Article  MATH  Google Scholar 

  15. Tian CL, Cui WC (2005) T-stress in elastic–plastic crack-tip flieds. Int J Fract 136:L9–14

    Article  Google Scholar 

  16. Xia L, Wang TC, Shih CF (1993) High-order analysis of crack tip fields in elastic-power hardening materials. J Mech Phys Solids 41:665–689

    Article  MATH  Google Scholar 

  17. Zhu XK, Chao YJ (2001) Constraint effects on crack-tip fields in elastic–plastic perfectly plastic materials. J Mech Phys Solids 49:363–399

    Article  MATH  ADS  Google Scholar 

  18. Sharma MS, Aravas N (1991) Determination of higher-order terms in asymptotic elastoplastic crack tip solution. J Mech Phys Solids 39:1043–1072

    Article  MATH  ADS  Google Scholar 

  19. Yang S, Chao YJ, Sutton MA (1993) Higher order asymptotic crack tip fields in a power-law hardening materials. Eng Fract Mech 45(1):1–20

    Article  Google Scholar 

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  1. School of Mechanical Engineering, Jiangnan University, Wuxi, 214122, China

    Changlu Tian

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  1. Changlu Tian
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Tian, C. The ratio of out-of-plane to in-plane stresses for plane strain problems. Meccanica 44, 105–107 (2009). https://doi.org/10.1007/s11012-008-9168-9

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  • DOI: https://doi.org/10.1007/s11012-008-9168-9

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