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==1 Title, abstract and keywords<!-- Your document should start with a concise and informative title. Titles are often used in information-retrieval systems. Avoid abbreviations and formulae where possible. Capitalize the first word of the title.
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== Abstract ==
  
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With  a view  to  application  to  thermomechanical  coupled  two-scale  analysis  of fiber-reinforced thermoplastics  (FRTP), we  propose  a  viscoelastic-viscoplastic  combined  constitutive  modelfor of thermoplastic  resins, which  iscapable  of  representing  the complex  inelastic behaviourwith  self-heating  effect. The generalized  Maxwell  model  is employedto  characterize  the  viscoelastic behaviourat small or moderate strain regime, while a finite strain viscoplastic model is employed to represent transient creep deformations due to frictional resistance of molecular chainsalong withthe hardening due to orientation of molecular chains. Within theframework of de-coupled computational homogenization[1]for FRTP, we are concerned with the effect of self-heating behaviour due to large strains    distributed    locally    in periodic    microstructures(unit    cells)on    the   macroscopic thermomechanical behaviour that inevitably become extremely complex.  
  
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The thermodynamics-based formulation adopted here enables us to naturally derive a set of coupled governing equations for heat conduction, thermo-mechanics and self-heating phenomena. As the self-heating  plays  a  role  of  heat  sources  in  the microstructureof  FRTP, the unsteady  heat  conduction problem has to be solved at a micro-scale to obtain the time-variation of temperature distribution that causes  the transition  from the glassy  state  to  the  rubbery  one. As  a result, the  macroscopic  self-heating  effect  is  supposed  to  be delayed  according  to the  unit  cell  size. In  order  to  strictly  consider this kind  of  temperature  effects  in  homogenization  analyses  and reflect  them  in  the macroscopic responses,   we  employ  the   incremental  variational  formulation [2]to formulatea coupled thermomechanical problem.  
  
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After  the  fundamental  performance  of  the  proposed constitutive model  is  verified  in  representing typical  material behaviourof  typical  thermoplastic  resins,  representative  numerical  examples  are presented  to  demonstrate  the  capability  of  the  proposed  model  in  reproducing  the  stress-softening, non-homogeneous  creep,  stress-build-upand  self-heating  phenomenon  due  to  large  inelastic deformations  as  well  as  the  deformation-rate  dependency.  It  is  also  confirmed  that  the  modelis capable  ofproperly  representingthe  transition  between  glassy  and  rubbery  states,  which  may  be caused by the self-heating phenomena especially under the condition of relatively high deformation rates.  Then,  the  proposed  constitutive  model  is  applied  to  the  numerical  material  testing  (NMT)  [2] for  unit  cells  of  FRTP to  characterize the  overall  anisotropic  inelastic behaviouralong  with  micro-macro self-heating effects.
  
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== Recording of the presentation ==
  
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|{{#evt:service=youtube|id=https://youtu.be/hhNEAK7TSEA|alignment=center}}
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| Location: Technical University of Catalonia (UPC), Vertex Building.
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| Date: 5-7 September 2017, Barcelona, Spain.
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==2 The main text<!-- You can enter and format the text of this document by selecting the ‘Edit’ option in the menu at the top of this frame or next to the title of every section of the document. This will give access to the visual editor. Alternatively, you can edit the source of this document (Wiki markup format) by selecting the ‘Edit source’ option.
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== General Information ==
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* Location: Technical University of Catalonia (UPC), Barcelona, Spain.
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* 5-7 September 2017
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* Secretariat: [//www.cimne.com/ International Center for Numerical Methods in Engineering (CIMNE)].
  
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2.1 Subsections
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==References==
  
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[1]K. Terada, J. Kato, N. Hirayama, T. Inugai, K. Yamamoto:  A  method  of  two-scale  analysis  with micro-macro  decoupling  scheme: application  to hyperelastic  composite  materials. Comput. Mech., Vol. 52(2013), pp 1199–1219.
  
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[2] Q.  Yang,  L.  Stainier  and  M.  Ortiz:  A variational  formulation  of the coupled  thermomechanical boundary-value problem for general dissipative solids. J. Mech. Phys. Solids, Vol.54 (2006), pp.401–424.
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Latest revision as of 12:57, 22 October 2019

Abstract

With a view to application to thermomechanical coupled two-scale analysis of fiber-reinforced thermoplastics (FRTP), we propose a viscoelastic-viscoplastic combined constitutive modelfor of thermoplastic resins, which iscapable of representing the complex inelastic behaviourwith self-heating effect. The generalized Maxwell model is employedto characterize the viscoelastic behaviourat small or moderate strain regime, while a finite strain viscoplastic model is employed to represent transient creep deformations due to frictional resistance of molecular chainsalong withthe hardening due to orientation of molecular chains. Within theframework of de-coupled computational homogenization[1]for FRTP, we are concerned with the effect of self-heating behaviour due to large strains distributed locally in periodic microstructures(unit cells)on the macroscopic thermomechanical behaviour that inevitably become extremely complex.

The thermodynamics-based formulation adopted here enables us to naturally derive a set of coupled governing equations for heat conduction, thermo-mechanics and self-heating phenomena. As the self-heating plays a role of heat sources in the microstructureof FRTP, the unsteady heat conduction problem has to be solved at a micro-scale to obtain the time-variation of temperature distribution that causes the transition from the glassy state to the rubbery one. As a result, the macroscopic self-heating effect is supposed to be delayed according to the unit cell size. In order to strictly consider this kind of temperature effects in homogenization analyses and reflect them in the macroscopic responses, we employ the incremental variational formulation [2]to formulatea coupled thermomechanical problem.

After the fundamental performance of the proposed constitutive model is verified in representing typical material behaviourof typical thermoplastic resins, representative numerical examples are presented to demonstrate the capability of the proposed model in reproducing the stress-softening, non-homogeneous creep, stress-build-upand self-heating phenomenon due to large inelastic deformations as well as the deformation-rate dependency. It is also confirmed that the modelis capable ofproperly representingthe transition between glassy and rubbery states, which may be caused by the self-heating phenomena especially under the condition of relatively high deformation rates. Then, the proposed constitutive model is applied to the numerical material testing (NMT) [2] for unit cells of FRTP to characterize the overall anisotropic inelastic behaviouralong with micro-macro self-heating effects.

Recording of the presentation

Location: Technical University of Catalonia (UPC), Vertex Building.
Date: 5-7 September 2017, Barcelona, Spain.

General Information

External Links

References

[1]K. Terada, J. Kato, N. Hirayama, T. Inugai, K. Yamamoto: A method of two-scale analysis with micro-macro decoupling scheme: application to hyperelastic composite materials. Comput. Mech., Vol. 52(2013), pp 1199–1219.

[2] Q. Yang, L. Stainier and M. Ortiz: A variational formulation of the coupled thermomechanical boundary-value problem for general dissipative solids. J. Mech. Phys. Solids, Vol.54 (2006), pp.401–424.

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