The Extended Non-affine Tube Model for Crosslinked Polymer Networks: Physical Basics, Implementation, and Application to Thermomechanical Finite Element Analyses

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• 关键词：Continuum damage ; Elastomers ; Finite element analysis ; Hyperelasticity ; Temperature dependency ; Tube model ; Viscoelasticity
• 刊名：Advances in Polymer Science
• 出版年：2017
• 出版时间：2017
• 年：2017
• 卷：275
• 期：1
• 页码：1-70
• 全文大小：1,542 KB
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• 作者单位：Ronny Behnke (22)
  Michael Kaliske (22)
  
  22. Institut für Statik und Dynamik der Tragwerke, Technische Universität Dresden, 01062, Dresden, Germany
  
• 丛书名：Designing of Elastomer Nanocomposites: From Theory to Applications
• ISBN：978-3-319-47696-4
• 刊物类别：Chemistry and Materials Science
• 刊物主题：Chemistry
  Polymer Sciences
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1436-5030
• 卷排序：275

文摘

This chapter is devoted to a summary of the so-called extended non-affine tube model. First, general model approaches for representation of the behavior of elastomers within numerical simulations are discussed. Second, the extended non-affine tube model is considered in the context of hyperelastic material models. Starting from molecular-statistical considerations, a Helmholtz free energy function is derived and formulated in terms of continuum mechanical quantities of the macroscale. Furthermore, combination with a model approach to represent continuum damage and time-dependent effects is addressed. The free energy function of the model approach is further set into the context of thermomechanics to account for temperature-dependent behavior of elastomers within numerical simulations. Finally, finite element implementation of the extended non-affine tube model and its application to uniaxial and biaxial tension tests performed on elastomer specimens are presented.