Measures describing curvilinear short fiber distributions
Abstract In this article, we discuss measures for fibers having a curvilinear shape. This is the case, for example, for man-made cellulose fibers having a weak stiffness. The fibers are bent during the injection molding process of short fiber reinforced plastics. For this purpose, $$\mu $$-CT data c...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hartmann, Stefan [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2020 |
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| Übergeordnetes Werk: |
Enthalten in: Archive of applied mechanics - Springer Berlin Heidelberg, 1991, 91(2020), 2 vom: 08. Sept., Seite 673-685 |
|---|---|
| Übergeordnetes Werk: |
volume:91 ; year:2020 ; number:2 ; day:08 ; month:09 ; pages:673-685 |
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| DOI / URN: |
10.1007/s00419-020-01762-8 |
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| 520 | |a Abstract In this article, we discuss measures for fibers having a curvilinear shape. This is the case, for example, for man-made cellulose fibers having a weak stiffness. The fibers are bent during the injection molding process of short fiber reinforced plastics. For this purpose, $$\mu $$-CT data can be evaluated and several measures can be introduced defining the geometrical orientation of the fibers. These measures are the length, a mean curvature, and the mean torsion. Furthermore, a mean orientation of a fiber and a mean deviation to a straight line can be defined. Additionally, to these measures, which are based on a continuous interpolation of given data points, discretized quantities only considering the data points are compared. Finally, the distributions of these measures at real $$\mu $$-CT data are provided. | ||
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10.1007/s00419-020-01762-8 doi (DE-627)OLC2124014773 (DE-He213)s00419-020-01762-8-p DE-627 ger DE-627 rakwb eng 690 VZ Hartmann, Stefan verfasserin (orcid)0000-0003-1849-0784 aut Measures describing curvilinear short fiber distributions 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2020 Abstract In this article, we discuss measures for fibers having a curvilinear shape. This is the case, for example, for man-made cellulose fibers having a weak stiffness. The fibers are bent during the injection molding process of short fiber reinforced plastics. For this purpose, $$\mu $$-CT data can be evaluated and several measures can be introduced defining the geometrical orientation of the fibers. These measures are the length, a mean curvature, and the mean torsion. Furthermore, a mean orientation of a fiber and a mean deviation to a straight line can be defined. Additionally, to these measures, which are based on a continuous interpolation of given data points, discretized quantities only considering the data points are compared. Finally, the distributions of these measures at real $$\mu $$-CT data are provided. Short fibers Composite Fiber orientation CT analysis Natural fibers Liese, Teresa aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2020), 2 vom: 08. Sept., Seite 673-685 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2020 number:2 day:08 month:09 pages:673-685 https://doi.org/10.1007/s00419-020-01762-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2020 2 08 09 673-685 |
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10.1007/s00419-020-01762-8 doi (DE-627)OLC2124014773 (DE-He213)s00419-020-01762-8-p DE-627 ger DE-627 rakwb eng 690 VZ Hartmann, Stefan verfasserin (orcid)0000-0003-1849-0784 aut Measures describing curvilinear short fiber distributions 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2020 Abstract In this article, we discuss measures for fibers having a curvilinear shape. This is the case, for example, for man-made cellulose fibers having a weak stiffness. The fibers are bent during the injection molding process of short fiber reinforced plastics. For this purpose, $$\mu $$-CT data can be evaluated and several measures can be introduced defining the geometrical orientation of the fibers. These measures are the length, a mean curvature, and the mean torsion. Furthermore, a mean orientation of a fiber and a mean deviation to a straight line can be defined. Additionally, to these measures, which are based on a continuous interpolation of given data points, discretized quantities only considering the data points are compared. Finally, the distributions of these measures at real $$\mu $$-CT data are provided. Short fibers Composite Fiber orientation CT analysis Natural fibers Liese, Teresa aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2020), 2 vom: 08. Sept., Seite 673-685 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2020 number:2 day:08 month:09 pages:673-685 https://doi.org/10.1007/s00419-020-01762-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2020 2 08 09 673-685 |
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10.1007/s00419-020-01762-8 doi (DE-627)OLC2124014773 (DE-He213)s00419-020-01762-8-p DE-627 ger DE-627 rakwb eng 690 VZ Hartmann, Stefan verfasserin (orcid)0000-0003-1849-0784 aut Measures describing curvilinear short fiber distributions 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2020 Abstract In this article, we discuss measures for fibers having a curvilinear shape. This is the case, for example, for man-made cellulose fibers having a weak stiffness. The fibers are bent during the injection molding process of short fiber reinforced plastics. For this purpose, $$\mu $$-CT data can be evaluated and several measures can be introduced defining the geometrical orientation of the fibers. These measures are the length, a mean curvature, and the mean torsion. Furthermore, a mean orientation of a fiber and a mean deviation to a straight line can be defined. Additionally, to these measures, which are based on a continuous interpolation of given data points, discretized quantities only considering the data points are compared. Finally, the distributions of these measures at real $$\mu $$-CT data are provided. Short fibers Composite Fiber orientation CT analysis Natural fibers Liese, Teresa aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2020), 2 vom: 08. Sept., Seite 673-685 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2020 number:2 day:08 month:09 pages:673-685 https://doi.org/10.1007/s00419-020-01762-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2020 2 08 09 673-685 |
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10.1007/s00419-020-01762-8 doi (DE-627)OLC2124014773 (DE-He213)s00419-020-01762-8-p DE-627 ger DE-627 rakwb eng 690 VZ Hartmann, Stefan verfasserin (orcid)0000-0003-1849-0784 aut Measures describing curvilinear short fiber distributions 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2020 Abstract In this article, we discuss measures for fibers having a curvilinear shape. This is the case, for example, for man-made cellulose fibers having a weak stiffness. The fibers are bent during the injection molding process of short fiber reinforced plastics. For this purpose, $$\mu $$-CT data can be evaluated and several measures can be introduced defining the geometrical orientation of the fibers. These measures are the length, a mean curvature, and the mean torsion. Furthermore, a mean orientation of a fiber and a mean deviation to a straight line can be defined. Additionally, to these measures, which are based on a continuous interpolation of given data points, discretized quantities only considering the data points are compared. Finally, the distributions of these measures at real $$\mu $$-CT data are provided. Short fibers Composite Fiber orientation CT analysis Natural fibers Liese, Teresa aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2020), 2 vom: 08. Sept., Seite 673-685 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2020 number:2 day:08 month:09 pages:673-685 https://doi.org/10.1007/s00419-020-01762-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2020 2 08 09 673-685 |
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10.1007/s00419-020-01762-8 doi (DE-627)OLC2124014773 (DE-He213)s00419-020-01762-8-p DE-627 ger DE-627 rakwb eng 690 VZ Hartmann, Stefan verfasserin (orcid)0000-0003-1849-0784 aut Measures describing curvilinear short fiber distributions 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2020 Abstract In this article, we discuss measures for fibers having a curvilinear shape. This is the case, for example, for man-made cellulose fibers having a weak stiffness. The fibers are bent during the injection molding process of short fiber reinforced plastics. For this purpose, $$\mu $$-CT data can be evaluated and several measures can be introduced defining the geometrical orientation of the fibers. These measures are the length, a mean curvature, and the mean torsion. Furthermore, a mean orientation of a fiber and a mean deviation to a straight line can be defined. Additionally, to these measures, which are based on a continuous interpolation of given data points, discretized quantities only considering the data points are compared. Finally, the distributions of these measures at real $$\mu $$-CT data are provided. Short fibers Composite Fiber orientation CT analysis Natural fibers Liese, Teresa aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2020), 2 vom: 08. Sept., Seite 673-685 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2020 number:2 day:08 month:09 pages:673-685 https://doi.org/10.1007/s00419-020-01762-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2020 2 08 09 673-685 |
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Abstract In this article, we discuss measures for fibers having a curvilinear shape. This is the case, for example, for man-made cellulose fibers having a weak stiffness. The fibers are bent during the injection molding process of short fiber reinforced plastics. For this purpose, $$\mu $$-CT data can be evaluated and several measures can be introduced defining the geometrical orientation of the fibers. These measures are the length, a mean curvature, and the mean torsion. Furthermore, a mean orientation of a fiber and a mean deviation to a straight line can be defined. Additionally, to these measures, which are based on a continuous interpolation of given data points, discretized quantities only considering the data points are compared. Finally, the distributions of these measures at real $$\mu $$-CT data are provided. © The Author(s) 2020 |
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Abstract In this article, we discuss measures for fibers having a curvilinear shape. This is the case, for example, for man-made cellulose fibers having a weak stiffness. The fibers are bent during the injection molding process of short fiber reinforced plastics. For this purpose, $$\mu $$-CT data can be evaluated and several measures can be introduced defining the geometrical orientation of the fibers. These measures are the length, a mean curvature, and the mean torsion. Furthermore, a mean orientation of a fiber and a mean deviation to a straight line can be defined. Additionally, to these measures, which are based on a continuous interpolation of given data points, discretized quantities only considering the data points are compared. Finally, the distributions of these measures at real $$\mu $$-CT data are provided. © The Author(s) 2020 |
| abstract_unstemmed |
Abstract In this article, we discuss measures for fibers having a curvilinear shape. This is the case, for example, for man-made cellulose fibers having a weak stiffness. The fibers are bent during the injection molding process of short fiber reinforced plastics. For this purpose, $$\mu $$-CT data can be evaluated and several measures can be introduced defining the geometrical orientation of the fibers. These measures are the length, a mean curvature, and the mean torsion. Furthermore, a mean orientation of a fiber and a mean deviation to a straight line can be defined. Additionally, to these measures, which are based on a continuous interpolation of given data points, discretized quantities only considering the data points are compared. Finally, the distributions of these measures at real $$\mu $$-CT data are provided. © The Author(s) 2020 |
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| title_short |
Measures describing curvilinear short fiber distributions |
| url |
https://doi.org/10.1007/s00419-020-01762-8 |
| remote_bool |
false |
| author2 |
Liese, Teresa |
| author2Str |
Liese, Teresa |
| ppnlink |
130929700 |
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n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/s00419-020-01762-8 |
| up_date |
2024-07-03T21:21:30.968Z |
| _version_ |
1803594436151607296 |
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