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Erschienen in: Journal of Polymer Research 3/2021

01.03.2021 | ORIGINAL PAPER

An image-based approach for structure investigation and 3D numerical modelling of polymeric foams

verfasst von: Stefano Tagliabue, Luca Andena, Michele Nacucchi, Fabio De Pascalis

Erschienen in: Journal of Polymer Research | Ausgabe 3/2021

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Abstract

Polymeric expanded materials are of great importance in many engineering applications. Despite this, as of today the development of models able to describe the mechanical behaviour of these material as a function of their microstructure is still an open challenge. In this study an image-based approach is proposed for both microstructure characterisation and 3D numerical mechanical simulations. Microstructure is investigated through different algorithms, such as Mean Intercept Length and Autocorrelation function, to determine synthetic parameters able to describe the internal structure. A novel algorithm has been developed to convert the images obtained from computed tomography into a finite element mesh with an optimized number of elements: this method preserves the original structure and can also be used to generate other fictitious structures that can be analysed. The investigation led to the identification of general relationships between foam microstructure and relevant macroscopic physical and mechanical properties. These relationships can serve as a tool to optimize foam morphology or product final properties for several different engineering applications.

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Fußnoten
1
For each direction of the test lines, Wald computed a bone mean intercept length (BMIL) as the average of the distance between a bone entry point and the subsequent bone exit point. The BMIL is then an estimate of the average value of the foam wall thickness in the different directions.
 
Literatur
1.
Zurück zum Zitat ASTM D6226 (2015) Standard test method for open cell content of rigid cellular plastics ASTM D6226 (2015) Standard test method for open cell content of rigid cellular plastics
2.
Zurück zum Zitat BS EN ISO 11357–3 (2018) Plastics – Differential scanning calorimetry (DSC) – Part 3: Determination of temperature and enthalpy of melting and crystallization BS EN ISO 11357–3 (2018) Plastics – Differential scanning calorimetry (DSC) – Part 3: Determination of temperature and enthalpy of melting and crystallization
3.
5.
Zurück zum Zitat Cowin SC (1985) The relationship between the elasticity tensor and the fabric tensor. Mech of Mater 4(2):137–147CrossRef Cowin SC (1985) The relationship between the elasticity tensor and the fabric tensor. Mech of Mater 4(2):137–147CrossRef
6.
Zurück zum Zitat Cowin SC (1986) Wolff’s law of trabecular architecture at remodeling equilibrium. J of Biomech Eng 108(1):83–88CrossRef Cowin SC (1986) Wolff’s law of trabecular architecture at remodeling equilibrium. J of Biomech Eng 108(1):83–88CrossRef
7.
8.
Zurück zum Zitat De Pascalis F, Nacucchi M, Scatto M, Albertoni R (2016) Quantitative characterisation of low density, high performance polymeric foams using high resolution X-ray computed tomography and laser confocal microscopy. NDT & E Int 83:123–133CrossRef De Pascalis F, Nacucchi M, Scatto M, Albertoni R (2016) Quantitative characterisation of low density, high performance polymeric foams using high resolution X-ray computed tomography and laser confocal microscopy. NDT & E Int 83:123–133CrossRef
10.
Zurück zum Zitat Deshpande VS, Ashby MF, Fleck NA (2001) Foam topology bending versus stretching dominated architectures. Acta Mater 49:1035–1040CrossRef Deshpande VS, Ashby MF, Fleck NA (2001) Foam topology bending versus stretching dominated architectures. Acta Mater 49:1035–1040CrossRef
11.
Zurück zum Zitat Fazekas A, Dendievel R, Salvo L, Brechet Y (2002) Effect of microstructural topology upon the stiffness and strength of 2D cellular structures. J of Mech Sci 44:2047–2066CrossRef Fazekas A, Dendievel R, Salvo L, Brechet Y (2002) Effect of microstructural topology upon the stiffness and strength of 2D cellular structures. J of Mech Sci 44:2047–2066CrossRef
13.
Zurück zum Zitat Gibson LJ, Ashby MF (2002) Cellular solids structure and properties, 2nd edition, Cambridge Solid State Science Series Gibson LJ, Ashby MF (2002) Cellular solids structure and properties, 2nd edition, Cambridge Solid State Science Series
14.
Zurück zum Zitat Gong L, Kyriakides S, Jang WY (2005) Compressive response of open-cell foams. Part I: Morphology and elastic properties. Int J of Solids and Struct 42:1355–1379CrossRef Gong L, Kyriakides S, Jang WY (2005) Compressive response of open-cell foams. Part I: Morphology and elastic properties. Int J of Solids and Struct 42:1355–1379CrossRef
15.
Zurück zum Zitat Gong L, Kyriakides S (2005) Compressive response of open-cell foams. Part II: Initiation and evolution of crushing. Int J of Solids and Struct 42:1381–1399CrossRef Gong L, Kyriakides S (2005) Compressive response of open-cell foams. Part II: Initiation and evolution of crushing. Int J of Solids and Struct 42:1381–1399CrossRef
16.
Zurück zum Zitat Gong L, Kyriakides S, Triantafyllidis N (2005) On the stability of Kelvin cell foams under compressive loads. J Mech Phys Solids 53:771–794CrossRef Gong L, Kyriakides S, Triantafyllidis N (2005) On the stability of Kelvin cell foams under compressive loads. J Mech Phys Solids 53:771–794CrossRef
17.
Zurück zum Zitat Harrigan T, Mann RW (1984) Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor. J of Mater Sci 19(2):761–767CrossRef Harrigan T, Mann RW (1984) Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor. J of Mater Sci 19(2):761–767CrossRef
18.
Zurück zum Zitat Hildebrand T, Rüesgsegger P (1997) A new method for the model-independent assessment of thickness in three-dimensional images. J of Microsc 185(1):67–75CrossRef Hildebrand T, Rüesgsegger P (1997) A new method for the model-independent assessment of thickness in three-dimensional images. J of Microsc 185(1):67–75CrossRef
20.
Zurück zum Zitat Ketcham RA, Ryan TM (2004) Quantification and visualization of anisotropy in trabecular bone. J of Microsc 213(2):158–171CrossRef Ketcham RA, Ryan TM (2004) Quantification and visualization of anisotropy in trabecular bone. J of Microsc 213(2):158–171CrossRef
21.
Zurück zum Zitat Lorensen WE, Cline HE (1987) Marching cubes: a high-resolution 3D surface construction algorithm. Computer Graph 21(4):163–169CrossRef Lorensen WE, Cline HE (1987) Marching cubes: a high-resolution 3D surface construction algorithm. Computer Graph 21(4):163–169CrossRef
22.
Zurück zum Zitat Moreno R, Borga M, Smedby Ö (2014) Techniques for computing fabric tensors: a review. In: Westin CF, Vilanova A, Burgeth, B. (eds) Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data. Springer, Berlin, Heidelberg Germany Moreno R, Borga M, Smedby Ö (2014) Techniques for computing fabric tensors: a review. In: Westin CF, Vilanova A, Burgeth, B. (eds) Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data. Springer, Berlin, Heidelberg Germany
23.
Zurück zum Zitat Odgaard A, Kabel J, Van Rietbergen B, Dalstra M, Huiskes R (1997) Fabric and principal directions of cancellous bone are closely related. J Biomech 30:487–496CrossRef Odgaard A, Kabel J, Van Rietbergen B, Dalstra M, Huiskes R (1997) Fabric and principal directions of cancellous bone are closely related. J Biomech 30:487–496CrossRef
24.
Zurück zum Zitat Odgaard A (2001) Quantification of cancellous bone architecture. In: Cowin SC editor. Bone Mechanics Handbook, Boca Raton, FL: CRC Press LLC, chapter 14 Odgaard A (2001) Quantification of cancellous bone architecture. In: Cowin SC editor. Bone Mechanics Handbook, Boca Raton, FL: CRC Press LLC, chapter 14
25.
Zurück zum Zitat Roberts AP, Garboczi EJ (2001) Elastic moduli of model random three-dimensional closed-cell cellular solids. Acta Mater 49:189–197CrossRef Roberts AP, Garboczi EJ (2001) Elastic moduli of model random three-dimensional closed-cell cellular solids. Acta Mater 49:189–197CrossRef
28.
Zurück zum Zitat Schroeder W, Martin K, Lorensen B (2006) Visualization Toolkit, An Object-Oriented Approach to 3D Graphics. 4th ed. Kitware Inc. ISBN: 1–930934–19-X, New York Schroeder W, Martin K, Lorensen B (2006) Visualization Toolkit, An Object-Oriented Approach to 3D Graphics. 4th ed. Kitware Inc. ISBN: 1–930934–19-X, New York
30.
Zurück zum Zitat Tabor Z (2009) On the equivalence of two methods of determining fabric tensor. Med Eng & Phys 31(10):1313–1322CrossRef Tabor Z (2009) On the equivalence of two methods of determining fabric tensor. Med Eng & Phys 31(10):1313–1322CrossRef
33.
Zurück zum Zitat Wald MJ, Vasilic B, Saha PK, Wehrli FW (2007) Spatial autocorrelation and mean intercept length analysis of trabecular bone anisotropy applied to in vivo magnetic resonance imaging. Med Phys 34(3):1110–1120CrossRef Wald MJ, Vasilic B, Saha PK, Wehrli FW (2007) Spatial autocorrelation and mean intercept length analysis of trabecular bone anisotropy applied to in vivo magnetic resonance imaging. Med Phys 34(3):1110–1120CrossRef
34.
Zurück zum Zitat Whitehouse WJ (1974) The quantitative morphology of anisotropic trabecular bone. J of Microsc 101(2):153–168CrossRef Whitehouse WJ (1974) The quantitative morphology of anisotropic trabecular bone. J of Microsc 101(2):153–168CrossRef
36.
Zurück zum Zitat Wunderlich B (1990) Thermal Analysis, Academic Press, pp.417–431 Wunderlich B (1990) Thermal Analysis, Academic Press, pp.417–431
37.
Zurück zum Zitat Zhu HX, Knott JF, Mills NJ (1996) Analysis of the elastic properties of open-cell foams with tetrakaidecahedral cells. J Mech Phys Solids 45:319–343CrossRef Zhu HX, Knott JF, Mills NJ (1996) Analysis of the elastic properties of open-cell foams with tetrakaidecahedral cells. J Mech Phys Solids 45:319–343CrossRef
38.
Zurück zum Zitat Zysset PK, Goulet RW, Hollister SJ (1998) A global relationship between trabecular bone morphology and homogenized elastic properties. J Biomech Eng 120(5):640–646CrossRef Zysset PK, Goulet RW, Hollister SJ (1998) A global relationship between trabecular bone morphology and homogenized elastic properties. J Biomech Eng 120(5):640–646CrossRef
39.
Zurück zum Zitat Zysset PK (2003) A review of morphology-elasticity relationships in human trabecular bone: theories and experiments. J Biomech 36(10):1469–1485CrossRef Zysset PK (2003) A review of morphology-elasticity relationships in human trabecular bone: theories and experiments. J Biomech 36(10):1469–1485CrossRef
41.
Zurück zum Zitat Rodriguez-Perez MA, Lobos J, Perez-Munoz CA, de Saja JA (2009) Mechanical response of polyethylene foams with high densities and cell sizes in the microcellular ranges. J of Cell Plast 45:389–403 Rodriguez-Perez MA, Lobos J, Perez-Munoz CA, de Saja JA (2009) Mechanical response of polyethylene foams with high densities and cell sizes in the microcellular ranges. J of Cell Plast 45:389–403
44.
Zurück zum Zitat Harper CA (2002) Handbook of plastics, elastomers and composites, McGraw Hill Professional 4th edition Harper CA (2002) Handbook of plastics, elastomers and composites, McGraw Hill Professional 4th edition
45.
Zurück zum Zitat The Scientist and Engineer’s Guide to Digital Signal Processing, 2nd edition, by Steven W. Smith, ISBN 0–9660176–6–8 The Scientist and Engineer’s Guide to Digital Signal Processing, 2nd edition, by Steven W. Smith, ISBN 0–9660176–6–8
Metadaten
Titel
An image-based approach for structure investigation and 3D numerical modelling of polymeric foams
verfasst von
Stefano Tagliabue
Luca Andena
Michele Nacucchi
Fabio De Pascalis
Publikationsdatum
01.03.2021
Verlag
Springer Netherlands
Erschienen in
Journal of Polymer Research / Ausgabe 3/2021
Print ISSN: 1022-9760
Elektronische ISSN: 1572-8935
DOI
https://doi.org/10.1007/s10965-021-02438-9

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