Elastoplastic and Damage Analysis of Trusses Subjected to Cyclic Loading

Abstract:

In the present paper, the Preisach model of hysteresis is extended to structural analysis of trusses damaged under cyclic loading in plastic range. Parameters for the Preisach model of cyclic plasticity are obtained from uniaxial loading experiment. Damage, as a consequence of micro cracks appearance due to alternating loading in plastic domain, is modeled using brittle elements according to Preisach procedure. Results of this research are compared with the already existing in the literature. In the paper examples of trusses under various cyclic loadings are presented.

• Periodical: Applied Mechanics and Materials (Volume 784)
• Pages: 68-79
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.784.68
• Online since: August 2015
• Authors: Dragoslav Šumarac*, Zoran Perović
• Keywords: Cyclic Plasticity, Damage, Trusses

References

[1] F. Preisach, Über die magnetische Nachwirkung, Z . Phys., 94 (1935) pp.277-302.

[2] V.A. Lubarda, D. Sumarac and D. Krajcinovic, Hysteretic response of ductile materials subjected to cyclic loads, in: J.W. Ju (Ed. ), Recent Advances in Damage Mechanics and Plasticity, ASME Publication, AMD, 123 (1992) pp.145-157.

[3] V.A. Lubarda, D. Sumarac and D. Krajcinovic, Preisach model and hysteretic behavior of ductile materials. Eur. J. Mech., A/Solids, 12, (4) (1993) 445-470.

[4] D. Sumarac, S. Stosic, The Preisach model for the cyclic bending of elasto-plastic beams, Eur. J. Mech., A/Solids 15 (1) (1996) 155-172.

[5] D. Šumarac and Z. Perović, Cyclic plasticity of trusses, Archive of Applied Mechanics: DOI 10. 1007/s00419-014-0954-7, Published online 03 dec (2014).

DOI: 10.1007/s00419-014-0954-7

[6] D. Šumarac and Z. Petrašković, Hysteretic behavior of rectangular tube (box) sections based on Preisach model, Archive of Applied Mechanics, 82 (10) (2012) 1663-1673.

DOI: 10.1007/s00419-012-0663-z

[7] K.J. Bathe, Finite Element Procedures, Prentice Hall, (1996).

[8] D.W. Iwan, On a class of models for the yielding behavior of continuous and composite systems, J. Appl. Mech., 34 (1967) 612-617.

DOI: 10.1115/1.3607751

[9] D.I. Mayergoyz, Mathematical Models of Hysteresis, Springer-Verlag, New York, (1991).

[10] D. Kujawski and E. Krempl, The Rate (Time)-Dependent Behaviour of Ti-7Al-2Cb-1Ta Titanium Alloy at Room Temperature Under Quasi Static Monotonic and Cyclic Loading, J. Appl. Mech., 48 (1981) 55-63.

DOI: 10.1115/1.3157592

[11] J.R. Asaro, Elastic-plastic memory and kinematic type hardening, Acta Metall. 23 (1975) 1255-1265.

DOI: 10.1016/0001-6160(75)90044-9

[12] R. Bouc, Modèle Mathématique d'Hystérésis, Acustica, 24 (1971) p.16—25 (inFrench).

[13] K.Y. Wen, Method for Random Vibration of Hysteretic Systems, Journal of the Engineering Mechanics Division, Proc. ASCE, 102 (1976) pp.249-263.

DOI: 10.1061/jmcea3.0002106

[14] A. Visintin, Mathematical Models of Hysteresis, Dipartimento di Matematica dell'Universita degli Studi di Trento, Italia, (2005).

DOI: 10.3934/dcdsb.2013.18.551

[15] Sumarac, D. and Krajcinovic, D.: A Self-consistent Model for Microcrack-weakened Solids, Mechanics of Materials,  6,  pp.39-52, (1987).

DOI: 10.1016/0167-6636(87)90021-4

[16] Sumarac,D. and Krajcinovic, D.: A Mesomechanical Model for Brittle Deformation Processes, Part II, Journal  of  Applied Mechanics, 56, pp.57-62, (1989).

DOI: 10.1115/1.3176066

[17] de Borst, R., Pamin, J., Geers, M.G.D.: On coupled gradient – dependent plasticity and damage theories with view to localization analysis, Eur. J. Mech. A/Solids, 18, 939-962, (1999).

DOI: 10.1016/s0997-7538(99)00114-x

[18] Panis, M.W., van der Slius, O., Peerlings, R.H.J.: Experimental identification of damage evolution law for steel, Eindhoven, (2004).