On the calculation of predeformation-dependent dynamic modulus tensors in finite nonlinear viscoelasticity

被引：38

作者：

Lion, A. ^{[1
]}

Retka, J. ^{[1
]}

Rendek, M. ^{[1
]}

机构：

[1] Univ Fed Armed Forces, Dept Aerosp Engn, Inst Mech, D-85577 Neubiberg, Germany

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2009年 / 36卷 / 06期

关键词：

Dynamic modulus tensor; Finite viscoelasticity; Linearization; Predeformation; Structure-borne sound; BEHAVIOR;

D O I：

10.1016/j.mechrescom.2009.02.005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

To simulate the frequency-dependent behaviour of nonlinear viscoelastic structures under loadings which consist of a finite predeformation in combination with a superimposed harmonic deformation with small amplitude, frequency-domain formulations of the constitutive models are needed. For this purpose, a recently developed approach of finite viscoelasticity is considered and the corresponding dynamic modulus tensors are derived. The constitutive equations are geometrically linearized in the neighbourhood of the predeformation and evaluated in the frequency-domain. This procedure is applicable to arbitrary constitutive models and can be used to derive their frequency-domain formulations for finite element implementations as proposed by Morman and Nagtegaal [Morman, K.N., Nagtegaal, J.C., 1983. Finite element analysis of sinusoidal small-amplitude vibrations in deformed viscoelastic solids. International journal for Numerical Methods in Engineering, 19,1079-1103]. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：653 / 658

页数：6

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