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Dynamic analysis of rubber-like material using absolute nodal coordinate formulation based on the non-linear constitutive law

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Abstract

Non-linear constitutive models of the elastic forces for a hyperelastic material are presented. Three elastic force models including Neo-Hookean, Mooney-Riblin 2nd, and Yeoh models are derived based on non-linear continuum mechanics. Elastic forces are applied to the three-dimensional absolute nodal coordinate beam element, and the transient response of the cantilever beam is analyzed. Simulation results are compared to experiment data, and the dynamic characteristics of elastic force models presented in this paper are discussed.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Ajou University, San 5, Woncheon-Dong, Yeongtong-Gu, Suwon-City, 443-749, Republic of Korea

    Sung Pil Jung & Tae Won Park

  2. Body Chassis Reliability Team, Korea Automotive Technology Institute, Yongjung-ri 74, Pungse-myun, Chonnan-city, Chungcheongnam-do, 330-91, Republic of Korea

    Won Sun Chung

Authors
  1. Sung Pil Jung
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  2. Tae Won Park
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  3. Won Sun Chung
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Correspondence to Tae Won Park.

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Jung, S.P., Park, T.W. & Chung, W.S. Dynamic analysis of rubber-like material using absolute nodal coordinate formulation based on the non-linear constitutive law. Nonlinear Dyn 63, 149–157 (2011). https://doi.org/10.1007/s11071-010-9792-5

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  • DOI: https://doi.org/10.1007/s11071-010-9792-5

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