On the calculation of predeformation-dependent dynamic modulus tensors in finite nonlinear viscoelasticity |
| |
| Authors: | A. Lion J. Retka M. Rendek |
| |
| Affiliation: | 1. Institut für Angewandte Mechanik, Technische Universität Braunschweig, Bienroder Weg 87, Campus Nord, 38106 Braunschweig, Germany;2. Institut für Kontinuumsmechanik, Leibniz Universität Hannover, Hannover, Germany;1. Institute of Continuum Mechanics, Gottfried Wilhelm Leibniz Universität Hannover, Appelstraße 11, 30167 Hannover, Germany;2. Continental Reifen Deutschland GmbH, Jädekamp 30, 30419 Hannover, Germany;1. Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208, USA;2. Department of Engineering Mechanics, Chongqing University, Shapingba, Chongqing 400017, China;3. Department of Materials, Polymer Physics, ETH Zurich, CH-8093 Zurich, Switzerland;4. Department of Mechanical Engineering & Institute of Materials Science, University of Connecticut, Storrs, CT 06269, USA |
| |
| Abstract: | 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]. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
