TY - JOUR
T1 - Elasto-plastic localised responses in one-dimensional structural models
AU - Coman, C.D.
AU - Bassom, Andrew
AU - Wadee, M.K.
PY - 2003
Y1 - 2003
N2 - This work complements recent developments concerning the buckling of beams lying on a nonlinear (non-convex) elastic foundation, and also reports on some investigations on the role of material nonlinearity. Two structural models are studied using a simple elasto-plastic constitutive relationship, and buckling problems are formulated as reversible fourth-order differential equations. It is demonstrated that modulated responses are possible under certain circumstances. Some numerical simulations are presented supporting the analytical findings.
AB - This work complements recent developments concerning the buckling of beams lying on a nonlinear (non-convex) elastic foundation, and also reports on some investigations on the role of material nonlinearity. Two structural models are studied using a simple elasto-plastic constitutive relationship, and buckling problems are formulated as reversible fourth-order differential equations. It is demonstrated that modulated responses are possible under certain circumstances. Some numerical simulations are presented supporting the analytical findings.
U2 - 10.1023/A:1025856602682
DO - 10.1023/A:1025856602682
M3 - Article
SN - 0022-0833
VL - 47
SP - 83
EP - 100
JO - Journal of Engineering Mathematics
JF - Journal of Engineering Mathematics
IS - 2
ER -