Abstract
A coupled dynamic problem of thermomechanics is formulated based on a thermodynamically consistent modification of the Bodner-Partom model. This formulation is used to analyze the thermomechanical state of an aluminum cylinder under axial impulsive loading. The problem is solved by the finite-element method. Time integration is performed by the Crank-Nicholson scheme. Reversible and irreversible thermal changes are studied
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
A. P. Bol'shakov, S. A. Novikov, and V. A. Sinitsyn, “Analysis of dynamic diagrams of uniaxial tension and compression for copper and AMg-6 alloy,” Probl. Prochn., No. 10, 87–88 (1979).
Ya. A. Zhuk, I. K. Senchenkov, V. I. Kozlov, and G. A. Tabieva, “Axisymmetric dynamic problem of coupled thermoviscoplasticity,” Int. Appl. Mech., 37, No.10, 1311–1317 (2001).
I. A. Motovilovets and V. I. Kozlov, Thermoelasticity, Vol. 1 of the five-volume series Mechanics of Coupled Fields in Structural Members [in Russian], Naukova Dumka, Kiev (1987).
A. M. Rajendran, S. J. Bless, and D. S. Dawicke, “Evaluation of Bodner-Partom model parameters at high strain rate,” J. Eng. Mater. Technol., 108, 75–80 (1986).
I. K. Senchenkov and Ya. A. Zhuk, “Thermodynamic analysis of one thermoviscoplastic model,” Prikl. Mekh., 33, No.2, 41–48 (1997).
G. B. Talypov, Plasticity and Strength of Steel under Complex Loading [in Russian], Izd. LGU, Leningrad (1968).
S. R. Bodner, Unified Plasticity. An Engineering Approach, Inst. Techn., Haifa (2000).
S. R. Bodner and A. Lindenfeld, “Constitutive modelling of the stored energy of cold work under cyclic loading,” Eur. J. Mech. A/Solids, 14, No.3, 333–348 (1995).
S. R. Bodner and P. S. Symonds, “Experiments on viscoplastic response of circular plates to impulsive loading,” J. Mech. Phys. Solids, 27, 91–113 (1979).
A. Chrysochoos, “The heat evolved during an elastic-plastic tranformation at finite strain,” in: IUTAM, Termomechanical Couplings in Solids, North-Holland (1987), pp. 79–84.
I. K. Senchenkov, Ya. A. Zhuk, and V. G. Karnaukhov, “Modeling the thermomechanical behavior of physically nonlinear materials under monoharmonic loading,” Int. Appl. Mech., 40, No.9, 943–969 (2004).
Yu. N. Shevchenko and V. V. Piskun, “Axisymmetric thermoelastoplastic stress state of isotropic solids of revolution under impulsive loading,” Int. Appl. Mech., 39, No.5, 546–555 (2003).
M. Stoffer, R. Schmidt, and D. Weichert, “Shock wave-loaded plates,” Int. J. Solids Struct., 38, 7659–7680 (2001).
Ya. A. Zhuk and I. K. Senchenkov, “Modeling the stationary vibrations and dissipative heating of thin-walled inelastic elements with piezoactive layers,” Int. Appl. Mech., 40, No.5, 546–556 (2004).
Author information
Authors and Affiliations
Additional information
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 8, pp. 66–71, August 2005.
Rights and permissions
About this article
Cite this article
Senchenkov, I.K., Andrushko, N.F. Thermal Effects in a Physically Nonlinear Cylinder under Impulsive Loading. Int Appl Mech 41, 890–894 (2005). https://doi.org/10.1007/s10778-005-0156-7
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10778-005-0156-7