In the present paper the Preisach model of hysteresis is applied to model cyclic behavior of elasto-plastic material. Rate of loading and viscous effects will not be considered. The problem of axial loading of rectangular cross section and cyclic bending of rectangular tube (box) will be studied in details. Hysteretic stress-strain loop for prescribed history of stress change is plotted for material modeled by series connection of three unite element. Also moment-curvature hysteretic loop is obtained for a prescribed curvature change of rectangular tube (box). One chapter of the paper is devoted to results obtained by FEM using Finite Element Code ABAQUS. All obtained results clearly show advantages of the Preisach model for describing cyclic behavior of elasto-plastic material.
U posmatranom radu Prajzakov model histerezisa je primenjen na modeliranje cikličnog ponašanja elasto-plastičnih materijala. Pri tome brzina nanošenja opterećenja i viskozni efekti se ne uzimaju u obzir. U radu se detaljno proučava problem aksijalnog naprezanja pravougaonog poprečnog preseka i ciklično savijanje pravougaone čelične cevi. Konstruisana je histerezisna petlja za zadatu promenu cikličnog opterećenja za materijal modeliran sa tri osnovna elementa. Takođe, histerezis momenat-krivina za čeličnu pravougaonu cev je konstruisan za zadatu istoriju promene krivine. U posebnom poglavlju se obrađuju rezultati dobijeni primenom MKE korišćenjem programa ABAQUS. Svi dobijeni rezultati jasno pokazuju prednost Prajzakovog modela kod opisivanja cikličnog ponašanja elasto-plastičnih materijala.
Keywords:
cyclic plasticity / Preisach model / cyclic bending
Source:
Theoretical and Applied Mechanics, 2008, 35, 1-3, 287-304
TY - JOUR
AU - Šumarac, Dragoslav
AU - Međo, Bojan
AU - Trišović, Nataša
PY - 2008
UR - https://grafar.grf.bg.ac.rs/handle/123456789/206
AB - In the present paper the Preisach model of hysteresis is applied to model cyclic behavior of elasto-plastic material. Rate of loading and viscous effects will not be considered. The problem of axial loading of rectangular cross section and cyclic bending of rectangular tube (box) will be studied in details. Hysteretic stress-strain loop for prescribed history of stress change is plotted for material modeled by series connection of three unite element. Also moment-curvature hysteretic loop is obtained for a prescribed curvature change of rectangular tube (box). One chapter of the paper is devoted to results obtained by FEM using Finite Element Code ABAQUS. All obtained results clearly show advantages of the Preisach model for describing cyclic behavior of elasto-plastic material.
AB - U posmatranom radu Prajzakov model histerezisa je primenjen na modeliranje cikličnog ponašanja elasto-plastičnih materijala. Pri tome brzina nanošenja opterećenja i viskozni efekti se ne uzimaju u obzir. U radu se detaljno proučava problem aksijalnog naprezanja pravougaonog poprečnog preseka i ciklično savijanje pravougaone čelične cevi. Konstruisana je histerezisna petlja za zadatu promenu cikličnog opterećenja za materijal modeliran sa tri osnovna elementa. Takođe, histerezis momenat-krivina za čeličnu pravougaonu cev je konstruisan za zadatu istoriju promene krivine. U posebnom poglavlju se obrađuju rezultati dobijeni primenom MKE korišćenjem programa ABAQUS. Svi dobijeni rezultati jasno pokazuju prednost Prajzakovog modela kod opisivanja cikličnog ponašanja elasto-plastičnih materijala.
PB - Srpsko društvo za mehaniku, Beograd
T2 - Theoretical and Applied Mechanics
T1 - Hysteretic behavior modeling of elastoplastic materials
T1 - Modeliranje histerezisnog ponašanja elastoplastičnih materijala
EP - 304
IS - 1-3
SP - 287
VL - 35
DO - 10.2298/TAM0803287S
ER -
@article{
author = "Šumarac, Dragoslav and Međo, Bojan and Trišović, Nataša",
year = "2008",
abstract = "In the present paper the Preisach model of hysteresis is applied to model cyclic behavior of elasto-plastic material. Rate of loading and viscous effects will not be considered. The problem of axial loading of rectangular cross section and cyclic bending of rectangular tube (box) will be studied in details. Hysteretic stress-strain loop for prescribed history of stress change is plotted for material modeled by series connection of three unite element. Also moment-curvature hysteretic loop is obtained for a prescribed curvature change of rectangular tube (box). One chapter of the paper is devoted to results obtained by FEM using Finite Element Code ABAQUS. All obtained results clearly show advantages of the Preisach model for describing cyclic behavior of elasto-plastic material., U posmatranom radu Prajzakov model histerezisa je primenjen na modeliranje cikličnog ponašanja elasto-plastičnih materijala. Pri tome brzina nanošenja opterećenja i viskozni efekti se ne uzimaju u obzir. U radu se detaljno proučava problem aksijalnog naprezanja pravougaonog poprečnog preseka i ciklično savijanje pravougaone čelične cevi. Konstruisana je histerezisna petlja za zadatu promenu cikličnog opterećenja za materijal modeliran sa tri osnovna elementa. Takođe, histerezis momenat-krivina za čeličnu pravougaonu cev je konstruisan za zadatu istoriju promene krivine. U posebnom poglavlju se obrađuju rezultati dobijeni primenom MKE korišćenjem programa ABAQUS. Svi dobijeni rezultati jasno pokazuju prednost Prajzakovog modela kod opisivanja cikličnog ponašanja elasto-plastičnih materijala.",
publisher = "Srpsko društvo za mehaniku, Beograd",
journal = "Theoretical and Applied Mechanics",
title = "Hysteretic behavior modeling of elastoplastic materials, Modeliranje histerezisnog ponašanja elastoplastičnih materijala",
pages = "304-287",
number = "1-3",
volume = "35",
doi = "10.2298/TAM0803287S"
}
Šumarac, D., Međo, B.,& Trišović, N.. (2008). Hysteretic behavior modeling of elastoplastic materials. in Theoretical and Applied Mechanics
Srpsko društvo za mehaniku, Beograd., 35(1-3), 287-304.
https://doi.org/10.2298/TAM0803287S
Šumarac D, Međo B, Trišović N. Hysteretic behavior modeling of elastoplastic materials. in Theoretical and Applied Mechanics. 2008;35(1-3):287-304.
doi:10.2298/TAM0803287S .
Šumarac, Dragoslav, Međo, Bojan, Trišović, Nataša, "Hysteretic behavior modeling of elastoplastic materials" in Theoretical and Applied Mechanics, 35, no. 1-3 (2008):287-304,
https://doi.org/10.2298/TAM0803287S . .
