(Created page with "==1 Title, abstract and keywords<!-- Your document should start with a concise and informative title. Titles are often used in information-retrieval systems. Avoid abbreviatio...")
 
 
(3 intermediate revisions by the same user not shown)
Line 1: Line 1:
−
==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.
+
== Abstract ==
  
−
Provide a maximum of 6 keywords, and avoiding general and plural terms and multiple concepts (avoid, for example, 'and', 'of'). Be sparing with abbreviations: only abbreviations firmly established in the field should be used. These keywords will be used for indexing purposes.
+
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.  
  
−
An abstract is required for every document; it should succinctly summarize the reason for the work, the main findings, and the conclusions of the study. Abstract is often presented separately from the article, so it must be able to stand alone. For this reason, references and hyperlinks should be avoided. If references are essential, then cite the author(s) and year(s). Also, non-standard or uncommon abbreviations should be avoided, but if essential they must be defined at their first mention in the abstract itself. -->==
+
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 ==
  
 +
{| style="font-size:100%; color: #222222; border: 1px solid darkgray; background: #f3f3f3; table-layout: fixed; width:100%;"
 +
|-
 +
|{{#evt:service=youtube|id=https://youtu.be/hhNEAK7TSEA|alignment=center}}
 +
|- style="text-align: center;"
 +
| Location: Technical University of Catalonia (UPC), Vertex Building.
 +
|- style="text-align: center;"
 +
| Date: 5-7 September 2017, Barcelona, Spain.
 +
|}
  
−
==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.
+
== General Information ==
 +
* Location: Technical University of Catalonia (UPC), Barcelona, Spain.
 +
* 5-7 September 2017
 +
* Secretariat: [//www.cimne.com/ International Center for Numerical Methods in Engineering (CIMNE)].
  
−
Most of the documents in Scipedia are written in English (write your manuscript in American or British English, but not a mixture of these). Anyhow, specific publications in other languages can be published in Scipedia. In any case, the documents published in other languages must have an abstract written in English.
+
== External Links ==
  
 +
* [http://congress.cimne.com/complas2017 COMPLAS XIV] Official Website of the Conference.
 +
* [http://www.cimnemultimediachannel.com/ CIMNE Multimedia Channel]
  
−
2.1 Subsections
+
==References==
  
−
Divide your article into clearly defined and numbered sections. Subsections should be numbered 1.1, 1.2, etc. and then 1.1.1, 1.1.2, ... Use this numbering also for internal cross-referencing: do not just refer to 'the text'. Any subsection may be given a brief heading. Capitalize the first word of the headings.
+
[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.
−
2.2 General guidelines
+
−
 
+
−
Some general guidelines that should be followed in your manuscripts are:
+
−
 
+
−
* Avoid hyphenation at the end of a line.
+
−
 
+
−
* Symbols denoting vectors and matrices should be indicated in bold type. Scalar variable names should normally be expressed using italics.
+
−
 
+
−
* Use decimal points (not commas); use a space for thousands (10 000 and above).
+
−
 
+
−
* Follow internationally accepted rules and conventions. In particular use the international system of units (SI). If other quantities are mentioned, give their equivalent in SI.
+
−
 
+
−
 
+
−
2.3 Tables, figures, lists and equations
+
−
 
+
−
Please insert tables as editable text and not as images. Tables should be placed next to the relevant text in the article. Number tables consecutively in accordance with their appearance in the text and place any table notes below the table body. Be sparing in the use of tables and ensure that the data presented in them do not duplicate results described elsewhere in the article.
+
−
 
+
−
Graphics may be inserted directly in the document and positioned as they should appear in the final manuscript.
+
−
 
+
−
Number the figures according to their sequence in the text. Ensure that each illustration has a caption. A caption should comprise a brief title. Keep text in the illustrations themselves to a minimum but explain all symbols and abbreviations used. Try to keep the resolution of the figures to a minimum of 300 dpi. If a finer resolution is required, the figure can be inserted as supplementary material
+
−
 
+
−
For tabular summations that do not deserve to be presented as a table, lists are often used. Lists may be either numbered or bulleted. Below you see examples of both.
+
−
 
+
−
1. The first entry in this list
+
−
 
+
−
2. The second entry
+
−
 
+
−
2.1. A subentry
+
−
 
+
−
3. The last entry
+
−
 
+
−
* A bulleted list item
+
−
 
+
−
* Another one
+
−
 
+
−
You may choose to number equations for easy referencing. In that case they must be numbered consecutively with Arabic numerals in parentheses on the right hand side of the page. Below is an example of formulae that should be referenced as eq. (1].
+
−
 
+
−
 
+
−
2.4 Supplementary material
+
−
 
+
−
Supplementary material can be inserted to support and enhance your article. This includes video material, animation sequences, background datasets, computational models, sound clips and more. In order to ensure that your material is directly usable, please provide the files with a preferred maximum size of 50 MB. Please supply a concise and descriptive caption for each file. -->==
+
−
 
+
−
 
+
−
 
+
−
 
+
−
==3 Bibliography<!--
+
−
Citations in text will follow a citation-sequence system (i.e. sources are numbered by order of reference so that the first reference cited in the document is [1], the second [2], and so on) with the number of the reference in square brackets. Once a source has been cited, the same number is used in all subsequent references. If the numbers are not in a continuous sequence, use commas (with no spaces) between numbers. If you have more than two numbers in a continuous sequence, use the first and last number of the sequence joined by a hyphen
+
−
 
+
−
You should ensure that all references are cited in the text and that the reference list. References should preferably refer to documents published in Scipedia. Unpublished results should not be included in the reference list, but can be mentioned in the text. The reference data must be updated once publication is ready. Complete bibliographic information for all cited references must be given following the standards in the field (IEEE and ISO 690 standards are recommended). If possible, a hyperlink to the referenced publication should be given. See examples for Scipedia’s articles [1], other publication articles [2], books [3], book chapter [4], conference proceedings [5], and online documents [6], shown in references section below. -->==
+
−
 
+
−
 
+
−
 
+
−
 
+
−
==4 Acknowledgments<!-- Acknowledgments should be inserted at the end of the document, before the references section. -->==
+
−
 
+
−
 
+
−
 
+
−
 
+
−
==5 References<!--[1] Author, A. and Author, B. (Year) Title of the article. Title of the Publication. Article code. Available: http://www.scipedia.com/ucode.
+
−
 
+
−
[2] Author, A. and Author, B. (Year) Title of the article. Title of the Publication. Volume number, first page-last page.
+
−
 
+
−
[3] Author, C. (Year). Title of work: Subtitle (edition.). Volume(s). Place of publication: Publisher.
+
−
 
+
−
[4] Author of Part, D. (Year). Title of chapter or part. In A. Editor & B. Editor (Eds.), Title: Subtitle of book (edition, inclusive page numbers). Place of publication: Publisher.
+
−
 
+
−
[5] Author, E. (Year, Month date). Title of the article. In A. Editor, B. Editor, and C. Editor. Title of published proceedings. Paper presented at title of conference, Volume number, first page-last page. Place of publication.
+
−
 
+
−
[6] Institution or author. Title of the document. Year. [Online] (Date consulted: day, month and year). Available: http://www.scipedia.com/document.pdf.
+
−
-->==
+

Latest revision as of 13:57, 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.

Back to Top
GET EPUB

Document information

Published on 22/10/19

Licence: CC BY-NC-SA license

Document Score

0

Views 22
Recommendations 0

Share this document

claim authorship

Are you one of the authors of this document?

I am an author