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The response of viscoelastic-frictionless bodies under normal impact
Faculty
Science
Year:
2010
Type of Publication:
Article
Pages:
446-454
Authors:
Eltaher, M. A, Mahmoud, F. F, Assie, A. E
DOI:
10.1016/j.ijmecsci.2009.11.005
Journal:
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES PERGAMON-ELSEVIER SCIENCE LTD
Volume:
52
Research Area:
Engineering; Mechanics
ISSN
ISI:000275614200005
Keywords :
Low velocity impact, Dynamic contact, Viscoelasticity, Finite element (FE)
Abstract:
This paper presents a computational finite element model capable of simulation of the impact response of viscoelastic-frictionless bodies. The variational method is developed to drive the equations of motion. The Lagrange multiplier method is exploited to impose the nonholmonic contact constraints and convert the problem form constraint problem to unconstraint one. The constitutive equations are expressed in integral form. and involving relaxation moduli are adopted to describe the nonaging simple material. Generalized Standard Linear Solid (Wiechert) model is adopted to simulate the internal damping (viscoelastic) behavior of the structure. Wiechert model is exploited in order to drive a recursive relationship and thereby eliminate storage problem. Newmark constant average acceleration is proposed to integrate the governing equation numerically and transfer the problem into a static one for each time increment. (C) 2009 Elsevier Ltd. All rights reserved.
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