Preisach Model for Cyclic Bending of Elastoplastic Beams
Abstract
In the present paper, the Preisach model, already successfully implemented for the problem of axially loaded members, has been extended to the cyclic bending of elasto-plastic beams. Starting from Hooke's and St. Venant's element, very well known in the theory of plasticity, using the Preisach model the stress at an arbitrary fiber of the cross section, and at an arbitrary instant of time can be found for a precribed history of curvarure change. The solutions for pure bending of symmetrical cross sections (rectangular and I-section) are presented. Also pure bending of an unsymmetrical (triangular) cross section, and the bending of a symmetrical (rectangular) cross section due to the simultaneous action of axial stretching of the neutral fiber and curvature change are considered.
Keywords:
Cyclic load / Elastoplasticity / Mechanical hysteresis / Cyclic load Elastoplasticity Mechanical hysteresis Numerical method Beam(mechanics)Source:
European Journal of Mechanics, A/Solids., 1996, 15, 155-172Publisher:
- Elsevier
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Institution/Community
GraFarTY - JOUR AU - Šumarac, Dragoslav AU - Stošić, Saša PY - 1996 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3009 AB - In the present paper, the Preisach model, already successfully implemented for the problem of axially loaded members, has been extended to the cyclic bending of elasto-plastic beams. Starting from Hooke's and St. Venant's element, very well known in the theory of plasticity, using the Preisach model the stress at an arbitrary fiber of the cross section, and at an arbitrary instant of time can be found for a precribed history of curvarure change. The solutions for pure bending of symmetrical cross sections (rectangular and I-section) are presented. Also pure bending of an unsymmetrical (triangular) cross section, and the bending of a symmetrical (rectangular) cross section due to the simultaneous action of axial stretching of the neutral fiber and curvature change are considered. PB - Elsevier T2 - European Journal of Mechanics, A/Solids. T1 - Preisach Model for Cyclic Bending of Elastoplastic Beams EP - 172 SP - 155 VL - 15 UR - https://hdl.handle.net/21.15107/rcub_grafar_3009 ER -
@article{ author = "Šumarac, Dragoslav and Stošić, Saša", year = "1996", abstract = "In the present paper, the Preisach model, already successfully implemented for the problem of axially loaded members, has been extended to the cyclic bending of elasto-plastic beams. Starting from Hooke's and St. Venant's element, very well known in the theory of plasticity, using the Preisach model the stress at an arbitrary fiber of the cross section, and at an arbitrary instant of time can be found for a precribed history of curvarure change. The solutions for pure bending of symmetrical cross sections (rectangular and I-section) are presented. Also pure bending of an unsymmetrical (triangular) cross section, and the bending of a symmetrical (rectangular) cross section due to the simultaneous action of axial stretching of the neutral fiber and curvature change are considered.", publisher = "Elsevier", journal = "European Journal of Mechanics, A/Solids.", title = "Preisach Model for Cyclic Bending of Elastoplastic Beams", pages = "172-155", volume = "15", url = "https://hdl.handle.net/21.15107/rcub_grafar_3009" }
Šumarac, D.,& Stošić, S.. (1996). Preisach Model for Cyclic Bending of Elastoplastic Beams. in European Journal of Mechanics, A/Solids. Elsevier., 15, 155-172. https://hdl.handle.net/21.15107/rcub_grafar_3009
Šumarac D, Stošić S. Preisach Model for Cyclic Bending of Elastoplastic Beams. in European Journal of Mechanics, A/Solids.. 1996;15:155-172. https://hdl.handle.net/21.15107/rcub_grafar_3009 .
Šumarac, Dragoslav, Stošić, Saša, "Preisach Model for Cyclic Bending of Elastoplastic Beams" in European Journal of Mechanics, A/Solids., 15 (1996):155-172, https://hdl.handle.net/21.15107/rcub_grafar_3009 .