An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials Approach
In this paper, the authors introduce an upper bound of the longitudinal elastic modulus of unidirectional fibrous composites to strength of materials approach, provided that the fibre is much stiffer than the matrix. In the mathematical derivations resulting in this bound, the concept of boundary in...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-08-01
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| Series: | Fibers |
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| Online Access: | http://www.mdpi.com/2079-6439/6/3/57 |
| _version_ | 1797999637595947008 |
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| author | John Venetis Emilio Sideridis |
| author_facet | John Venetis Emilio Sideridis |
| author_sort | John Venetis |
| collection | DOAJ |
| description | In this paper, the authors introduce an upper bound of the longitudinal elastic modulus of unidirectional fibrous composites to strength of materials approach, provided that the fibre is much stiffer than the matrix. In the mathematical derivations resulting in this bound, the concept of boundary interphase between filler and matrix was also taken into consideration. The novel element of this work is that the authors have not taken into account any particular variation law to approach the stiffness of this intermediate phase. The theoretical predictions were compared with those obtained from some accurate analytical models as well as with experimental data found in the literature, and a satisfactory accordance was observed. |
| first_indexed | 2024-04-11T11:07:50Z |
| format | Article |
| id | doaj.art-c9b9f058f52d4569af574766134e0564 |
| institution | Directory Open Access Journal |
| issn | 2079-6439 |
| language | English |
| last_indexed | 2024-04-11T11:07:50Z |
| publishDate | 2018-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fibers |
| spelling | doaj.art-c9b9f058f52d4569af574766134e05642022-12-22T04:28:15ZengMDPI AGFibers2079-64392018-08-01635710.3390/fib6030057fib6030057An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials ApproachJohn Venetis0Emilio Sideridis1School of Applied Mathematics and Physical Sciences NTUA, Section of Mechanics, 5 Heroes of Polytechnion Avenue, GR-15773 Athens, GreeceSchool of Applied Mathematics and Physical Sciences NTUA, Section of Mechanics, 5 Heroes of Polytechnion Avenue, GR-15773 Athens, GreeceIn this paper, the authors introduce an upper bound of the longitudinal elastic modulus of unidirectional fibrous composites to strength of materials approach, provided that the fibre is much stiffer than the matrix. In the mathematical derivations resulting in this bound, the concept of boundary interphase between filler and matrix was also taken into consideration. The novel element of this work is that the authors have not taken into account any particular variation law to approach the stiffness of this intermediate phase. The theoretical predictions were compared with those obtained from some accurate analytical models as well as with experimental data found in the literature, and a satisfactory accordance was observed.http://www.mdpi.com/2079-6439/6/3/57fibrous compositeslongitudinal modulusupper boundstrength of materialsinterphase |
| spellingShingle | John Venetis Emilio Sideridis An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials Approach Fibers fibrous composites longitudinal modulus upper bound strength of materials interphase |
| title | An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials Approach |
| title_full | An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials Approach |
| title_fullStr | An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials Approach |
| title_full_unstemmed | An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials Approach |
| title_short | An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials Approach |
| title_sort | upper bound of longitudinal elastic modulus for unidirectional fibrous composites as obtained from strength of materials approach |
| topic | fibrous composites longitudinal modulus upper bound strength of materials interphase |
| url | http://www.mdpi.com/2079-6439/6/3/57 |
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