Dynamic buckling of thin thermoviscoplastic cylindrical shell under radial impulsive loading.pdfVIP

ARTICLE IN PRESS Thin-Walled Structures 44 (2006) 1109–1117 /locate/tws Dynamic buckling of thin thermoviscoplastic cylindrical shell under radial impulsive loading Z.G. Wei, R.C. Batra Department of Engineering Science and Mechanics, MC 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA Received 29 March 2006; received in revised form 15 September 2006; accepted 12 October 2006 Available online 1 December 2006 Abstract The dynamic plastic buckling of a homogeneous and isotropic thin thermoviscoplastic cylindrical shell loaded radially is studied analytically by analyzing the stability of its stressed/deformed configuration under superimposed infinitesimal perturbations. The wave number of the perturbation that maximizes its initial growth rate is assumed to determine the buckling mode. Cubic algebraic equations are obtained for both the maximum initial growth rate of perturbation and the corresponding wave number. The buckled shape of a cylindrical shell is found to match well with that observed experimentally. The sensitivity of the buckled shape to the impact velocity, the hardening modulus, and the material viscosity has been delineated. For axially restrained shells, it is found that for materials exhibiting strain rate hardening only the maximum initial growth rate of the perturbation and the corresponding wave number vary as ðs0 1=3 2=3 0 1=6 1=3 2=3 ¯ =rbÞ h and ðr=s Þ Rb h