Plastic flow equations for the local strain approach in the multiaxial case
This paper presents a system of plastic flow equations which uses and generalizes to the multiaxial case a number of concepts commonly employed in the so-called Local Strain Approach to low cycle fatigue. Everything is built upon the idea of distance between stress points. It is believed that this...
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Gruppo Italiano Frattura
2016-07-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero37/numero_37_art_02.pdf |
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| author | C. Madrigal A. Navarro C. Vallellano |
| author_facet | C. Madrigal A. Navarro C. Vallellano |
| author_sort | C. Madrigal |
| collection | DOAJ |
| description | This paper presents a system of plastic flow equations which uses and generalizes to the multiaxial
case a number of concepts commonly employed in the so-called Local Strain Approach to low cycle fatigue.
Everything is built upon the idea of distance between stress points. It is believed that this will ease the
generalization to the multiaxial case of the intuitive methods used in low cycle fatigue calculations, based on
hysteresis loops, Ramberg‐Osgood equations, Neuber or ESED rule, etc. It is proposed that the stress space is
endowed with a quadratic metric whose structure is embedded in the yield criterion. Considerations of initial
isotropy of the material and of the null influence of the hydrostatic stress upon yielding leads to the realization
of the simplest metric, which is associated with the von Mises yield criterion. The use of the strain‐hardening
hypothesis leads in natural way to a normal flow rule and this establishes a linear relationship between the
plastic strain increment and the stress increment. |
| format | Article |
| id | doaj-art-b141925bc08d4df58fae37a8e25ad9ff |
| institution | DOAJ |
| issn | 1971-8993 1971-8993 |
| language | English |
| publishDate | 2016-07-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-b141925bc08d4df58fae37a8e25ad9ff2025-08-20T02:51:38ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89931971-89932016-07-01103781410.3221/IGF-ESIS.37.02Plastic flow equations for the local strain approach in the multiaxial caseC. Madrigal0A. Navarro1C. Vallellano2University of Seville,SpainUniversity of Seville,SpainUniversity of Seville,SpainThis paper presents a system of plastic flow equations which uses and generalizes to the multiaxial case a number of concepts commonly employed in the so-called Local Strain Approach to low cycle fatigue. Everything is built upon the idea of distance between stress points. It is believed that this will ease the generalization to the multiaxial case of the intuitive methods used in low cycle fatigue calculations, based on hysteresis loops, Ramberg‐Osgood equations, Neuber or ESED rule, etc. It is proposed that the stress space is endowed with a quadratic metric whose structure is embedded in the yield criterion. Considerations of initial isotropy of the material and of the null influence of the hydrostatic stress upon yielding leads to the realization of the simplest metric, which is associated with the von Mises yield criterion. The use of the strain‐hardening hypothesis leads in natural way to a normal flow rule and this establishes a linear relationship between the plastic strain increment and the stress increment.http://www.gruppofrattura.it/pdf/rivista/numero37/numero_37_art_02.pdfLow cycle fatiguePlastic Flow RuleKinematic HardeningNon-proportional LoadingMultiaxial Fatigue |
| spellingShingle | C. Madrigal A. Navarro C. Vallellano Plastic flow equations for the local strain approach in the multiaxial case Fracture and Structural Integrity Low cycle fatigue Plastic Flow Rule Kinematic Hardening Non-proportional Loading Multiaxial Fatigue |
| title | Plastic flow equations for the local strain approach in the multiaxial case |
| title_full | Plastic flow equations for the local strain approach in the multiaxial case |
| title_fullStr | Plastic flow equations for the local strain approach in the multiaxial case |
| title_full_unstemmed | Plastic flow equations for the local strain approach in the multiaxial case |
| title_short | Plastic flow equations for the local strain approach in the multiaxial case |
| title_sort | plastic flow equations for the local strain approach in the multiaxial case |
| topic | Low cycle fatigue Plastic Flow Rule Kinematic Hardening Non-proportional Loading Multiaxial Fatigue |
| url | http://www.gruppofrattura.it/pdf/rivista/numero37/numero_37_art_02.pdf |
| work_keys_str_mv | AT cmadrigal plasticflowequationsforthelocalstrainapproachinthemultiaxialcase AT anavarro plasticflowequationsforthelocalstrainapproachinthemultiaxialcase AT cvallellano plasticflowequationsforthelocalstrainapproachinthemultiaxialcase |