Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Miscellanea Vol. 10, No. 38 (2016)

A unified rule to estimate multiaxial elastoplastic notch stresses and strains under in-phase proportional loadings

Author and affiliation details
  • Marco Antonio Meggiolaro Corresponding author meggi@puc-rio.br
  • Jaime Tupiassú Pinho de Castro
  • Luiz Fernando Martha
  • Luiz Fernando Nazaré Marques
DOI
10.3221/IGF-ESIS.38.17
Pages
Pages 128-134
Published
Published inVol. 10, No. 38 (2016)Go to the issue

Abstract

Several methods can be used to estimate elastoplastic (EP) notchtip  stresses and strains from linear elastic calculations, providing EP stress and strain concentration factors. For uniaxial load histories, Neuber’s and Glinka’s rules are perhaps the most used. For non-proportional multiaxial histories, such corrections require incremental plasticity calculations to correlate stresses and strains at the notch root, a quite challenging task. However, for in-phase proportional multiaxial histories, where the principal directions do not change and the load path in a stress diagram follows a straight line, approximate methods can be used without requiring an incremental approach. Most of these methods are based on Neuber’s rule, so they usually result in conservative predictions, especially in plane strain-dominated cases associated with sharp notches. In this work, a Unified Notch Rule (UNR) is proposed for uniaxial and in-phase proportional multiaxial histories. The UNR can reproduce Neuber’s or Glinka’s rules, interpolate their notch-tip behaviors, or even extrapolate them for notches with increased constraint. Moreover, the UNR also allows a non-zero normal stress perpendicular to the free-surface. The proposed method predictions are compared with elastoplastic Finite Element calculations on notched shafts.

Keywords

Article history

  1. ReceivedUntil the next stage: 0 days
  2. AcceptedUntil the next stage: 3 days
  3. Published

How to cite

APA

Meggiolaro, M. A., Tupiassú Pinho de Castro, J., Martha, L. F., & Nazaré Marques, L. F. (2016). A unified rule to estimate multiaxial elastoplastic notch stresses and strains under in-phase proportional loadings. Fracture and Structural Integrity, 10(38), Pages 128–134. https://doi.org/10.3221/IGF-ESIS.38.17

IEEE

M. A. Meggiolaro, J. Tupiassú Pinho de Castro, L. F. Martha, and L. F. Nazaré Marques, “A unified rule to estimate multiaxial elastoplastic notch stresses and strains under in-phase proportional loadings,” Fracture and Structural Integrity, vol. 10, no. 38, pp. Pages 128–134, 2016, doi: 10.3221/IGF-ESIS.38.17.

MLA

Meggiolaro, Marco Antonio, et al. “A unified rule to estimate multiaxial elastoplastic notch stresses and strains under in-phase proportional loadings.” Fracture and Structural Integrity, vol. 10, no. 38, 2016, pp. Pages 128–134. https://doi.org/10.3221/IGF-ESIS.38.17.

Chicago

Meggiolaro, Marco Antonio, Jaime Tupiassú Pinho de Castro, Luiz Fernando Martha, and Luiz Fernando Nazaré Marques. 2016. “A unified rule to estimate multiaxial elastoplastic notch stresses and strains under in-phase proportional loadings.” Fracture and Structural Integrity 10 (38): Pages 128–134. https://doi.org/10.3221/IGF-ESIS.38.17.

Harvard

Meggiolaro, M.A., Tupiassú Pinho de Castro, J., Martha, L.F. and Nazaré Marques, L.F. (2016) ‘A unified rule to estimate multiaxial elastoplastic notch stresses and strains under in-phase proportional loadings’, Fracture and Structural Integrity, 10(38), pp. Pages 128–134. doi: 10.3221/IGF-ESIS.38.17.

Vancouver

Meggiolaro MA, Tupiassú Pinho de Castro J, Martha LF, Nazaré Marques LF. A unified rule to estimate multiaxial elastoplastic notch stresses and strains under in-phase proportional loadings. Fracture and Structural Integrity. 2016;10(38):Pages 128-134. doi:10.3221/IGF-ESIS.38.17

BibTeX

@article{meggiolaro2016, author = {Meggiolaro, Marco Antonio and Tupiassú Pinho de Castro, Jaime and Martha, Luiz Fernando and Nazaré Marques, Luiz Fernando}, title = {A unified rule to estimate multiaxial elastoplastic notch stresses and strains under in-phase proportional loadings}, journal = {Fracture and Structural Integrity}, year = {2016}, volume = {10}, number = {38}, pages = {Pages 128--134}, doi = {10.3221/IGF-ESIS.38.17}, url = {https://doi.org/10.3221/IGF-ESIS.38.17}, issn = {1971-8993} }

RIS

TY - JOUR AU - Meggiolaro, Marco Antonio AU - Tupiassú Pinho de Castro, Jaime AU - Martha, Luiz Fernando AU - Nazaré Marques, Luiz Fernando TI - A unified rule to estimate multiaxial elastoplastic notch stresses and strains under in-phase proportional loadings JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2016 DA - 2016/10/03 VL - 10 IS - 38 SP - Pages 128 EP - 134 DO - 10.3221/IGF-ESIS.38.17 UR - https://doi.org/10.3221/IGF-ESIS.38.17 SN - 1971-8993 ER -

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