TY - JOUR
T1 - Endochronic analysis for viscoplastic collapse of a thin-walled tube under combined bending and external pressure
AU - Pan, Wen Fung
AU - Leu, Kuen Tong
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 1997/4
Y1 - 1997/4
N2 - In this study, we employ the ordinary differential constitutive equations of endochronic theory to investigate the collapse of a thin-walled tube subjected to bending. A virtual work approach is used to formulate the problem, which results in a set of nonlinear algebraic equations that are numerically solved. Experimental data on a 6061-T6 aluminum alloy under cyclic bending and 304 stainless steel under combined bending and external pressure found in previous literature are compared with the theoretical simulation. The experimental and theoretical results are in good agreement. Finally, by using the rate-sensitivity function of the intrinsic time measure in the theory, the theoretical analysis is extended to investigate the viscoplastic collapse of a thin-walled tube subjected to bending. Owing to the hardening of the metal tube for a faster curvature rate, the magnitude of the limit moment, the ovalization of the tube cross section and the value of curvature at collapse are theoretically demonstrated to have increased.
AB - In this study, we employ the ordinary differential constitutive equations of endochronic theory to investigate the collapse of a thin-walled tube subjected to bending. A virtual work approach is used to formulate the problem, which results in a set of nonlinear algebraic equations that are numerically solved. Experimental data on a 6061-T6 aluminum alloy under cyclic bending and 304 stainless steel under combined bending and external pressure found in previous literature are compared with the theoretical simulation. The experimental and theoretical results are in good agreement. Finally, by using the rate-sensitivity function of the intrinsic time measure in the theory, the theoretical analysis is extended to investigate the viscoplastic collapse of a thin-walled tube subjected to bending. Owing to the hardening of the metal tube for a faster curvature rate, the magnitude of the limit moment, the ovalization of the tube cross section and the value of curvature at collapse are theoretically demonstrated to have increased.
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U2 - 10.1299/jsmea1993.40.2_189
DO - 10.1299/jsmea1993.40.2_189
M3 - Article
AN - SCOPUS:0031117009
SN - 1340-8046
VL - 40
SP - 189
EP - 199
JO - JSME International Journal, Series A: Mechanics and Material Engineering
JF - JSME International Journal, Series A: Mechanics and Material Engineering
IS - 2
ER -