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Modeling of viscoelastic contact-impact problems
Faculty
Science
Year:
2010
Type of Publication:
Article
Pages:
2336-2352
Authors:
Eltaher, M. A, Mahmoud, F. F, Assie, A. E
DOI:
10.1016/j.apm.2009.11.001
Journal:
APPLIED MATHEMATICAL MODELLING ELSEVIER SCIENCE INC
Volume:
34
Research Area:
Engineering; Mathematics; Mechanics
ISSN
ISI:000278432500006
Keywords :
Viscoelastic, Dynamic-contact, Impact, Finite element (FE)
Abstract:
An accurate finite element (FE) model for analyzing the response of viscoelastic structure under low-velocity impact is presented. Generalized standard linear solid (Wiechert) model is adopted to simulate the internal damping of the structure, because its capability of describing both creep and relaxation phenomena adequately. Newmark time integration scheme is proposed to transfer the problem into a static one for each time increment. The incremental convex programming method is modified to accommodate viscoelastic dynamic-contact problems. The Lagrange multiplier technique is selected to incorporate the contact condition. One, two and three-dimensional finite element model is presented to compare between the elastic and viscoelastic materials. (C) 2009 Elsevier Inc. All rights reserved.
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