Strain Hardening Analysis for M-P Interaction in Metallic Beam of T-Section
محورهای موضوعی : Engineering
M Hosseini
1
(Department of Civil Engineering, Faculty of Engineering, Lorestan University, Iran)
H Hatami
2
(Department of Mechanical Engineering , Faculty of Engineering, Lorestan University, Iran)
کلید واژه: Axial force, M-P interaction, Bending moment, T&ndash, Section, Strain hardening,
چکیده مقاله :
This paper derives kinematic admissible bending moment – axial force (M-P) interaction relations for mild steel by considering strain hardening idealisations. Two models for strain hardening – Linear and parabolic have been considered, the parabolic model being closer to the experiments. The interaction relations can predict strains, which is not possible in a rigid, perfectly plastic idealization. The relations are obtained for all possible cases pertaining to the locations of neutral axis. One commercial rolled steel T-section has been considered for studying the characteristics of interaction curves for different models. On the basis of these interaction curves, most significant cases for the position of neutral axis which are enough for the establishment of interaction relations have been suggested. The influence of strain hardening in the interaction study has been highlighted. The strains and hence the strain rates due to bending and an axial force can be separated only for the linear-elastic case because the principle of superposition is not valid for the nonlinear case. The difference between the interaction curves for linear and parabolic hardening for the particular material is small.
[1] Menkes S.B., Opat H.J., 1973, Broken beams, Experimental Mechanics 13: 480-486.
[2] Jones N., 1976, Plastic failure of ductile beams loaded dynamically, Journal of Engineering for Industry 98: 131-136.
[3] Liu J.H., Jones N., 1987, Experimental investigation of clamped beams struck transversely by a mass, International Journal of Impact Engineering 6(4): 303-335.
[4] Liu J.H., Jones N., 1988, Plastic Failure of a Clamped Beams Struck Transversely by a Mass, University of Liverpool, Department of Mechanical Engineering Report ES/13/87.
[5] Jones N., Soares C.G., 1977, Higher model dynamic, plastic behavior of beam loaded impulsively, International Journal of Mechanical Sciences 20: 135-147.
[6] Shen W.Q., Jones N. A., 1992, Failure criterion for beams under impulsive loading, International Journal of Impact Engineering 12(1): 101-121.
[7] Alves M., Jones N., 2002, Impact failure of beams using damage mechanics: Part II – Application, International Journal of Impact Engineering 27(8): 863-90.
[8] Symonds P.S., Genna F., Ciullini A., 1991, Special cases in study of anomalous dynamic elastic-plastic response of beams by a simple model, International Journal of Solids and Structures 27(3): 299-314.
[9] Qian Y., Symonds P.S., 1996, Anomalous dynamic elastic-plastic response of a Galerkin beam model, International Journal of Mechanical Sciences 38(7): 687-708.
[10] Bassi A., Genna F., Symonds P.S., 2003, Anomalous elastic-plastic responses to short pulse loading of circular plates, International Journal of Impact Engineering 28(1): 65-91.
[11] Lellep J., Torn K., 2005, Shear and bending response of a rigid-plastic beam subjected to impulsive loading, International Journal of Impact Engineering 31(9): 1081-1105.
[12] Ma G. W., Shi H. J., Shu D. W., 2007, P–I diagram method for combined failure modes of rigid-plastic beams, International Journal of Impact Engineering 34(6): 1081-1094.
[13] Ghaderi S. H., Kazuyuki H., Masahiro F., 2009, Analysis of stationary deformation behavior of a semi-infinite rigid-perfect plastic beam subjected to moving distributed loads of finite width, International Journal of Impact Engineering 36(1): 115-121.
[14] Li Q. M., Liu Y. M., 2003, Uncertain dynamic response of a deterministic elastic–plastic beam, International Journal of Impact Engineering 28(6): 643-651.
[15] Li Q. M., Liu Y. M., Ma G. W., 2006, The anomalous region of elastic–plastic beam dynamics, International Journal of Impact Engineering 32(9): 1357-1369.
[16] Xi F., Liu F., Li Q. M., 2012, Large deflection response of an elastic, perfectly plastic cantilever beam subjected to a step loading, International Journal of Impact Engineering 48: 33-45.
[17] Brake M. R., 2012, An analytical elastic-perfectly plastic contact model, International Journal of Solids and Structures 49(22): 3129-3141.
[18] Hosseini M., Abbas H., 2013, Strain hardening in M–P interaction for metallic beam of I-section, Thin-Walled Structures 62: 243-256.
[19] Alves M., Jones N., 2002, Impact failure of beams using damage mechanics, Part I – Analytical model, International Journal of Impact Engineering 27(8): 837-61.
