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Mechanical properties of tape composites

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Summary

The stiffness and strength of tape-reinforced composites have been calculated by using the finite-element method, simple model theory and the von Mises-Hencky criterion. The tapes are assumed to be oriented uniaxially in both the longitudinal and transverse directions. According to the theoretical calculations, substantial increases in two basic moduli and a transverse strength are possible with the tape systems, as compared with the corresponding fiber systems. The calculations are based mainly on glassepoxy composites.

Zusammenfassung

Die Steifigkeit und Festigkeit der band-verstärkten Verbundwerkstoffe wurden nach der Methode der endlichen Größe, der einfachen Modelltheorie und der von-Mises-Hencky-Hypothese berechnet. Die Bänder wurden als einachsig in beiden Richtungen orientiert, nämlich in Längsrichtung und Querrichtung, betrachtet. Nach den theoretischen Berechnungen ermöglicht das Bandsystem, verglichen mit dem entsprechenden Fasersystem, bedeutende Zunahmen der beiden fundamentalen Moduli und der transversalen Festigkeit. Die Berechnungen basieren hauptsächlich auf Glas-Epoxid-Verbundwerkstoffen.

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Abbreviations

B m :

Bulk modulus of the matrix material

E f :

Young's modulus of the filler material

E m :

Young's modulus of the matrix material

E L :

Longitudinal composite modulus (parallel to the lengths of the tapes or fibers)

E T :

Transverse composite modulus (parallel to the widths of the tapes in the case of tape composites)

E TT :

Transverse composite modulus (perpendicular to the widths of the tapes in the case of tape composites)

G f :

Shear modulus of the filler material

G m :

Shear modulus of the matrix material

G LT :

Longitudinal-transverse composite shear modulus (with the longitudinal axis parallel to the lengths of the tapes, and the transverse axis parallel to their widths, in the case of tape composites)

G LT′ :

Longitudinal-transverse composite shear modulus (with the longitudinal axis parallel to the lengths of the tapes, and the transverse axis perpendicular to their widths, in the case of tape composites)

G TT :

Transverse composite shear modulus (parallel and perpendicular to the widths of the tapes in the case of tape composites)

S m :

Strength of the matrix material

S T :

Transverse composite strength (parallel to the widths of the tapes in the case of tape composites)

S TT :

Transverse composite strength (perpendicular to the widths of the tapes in the case of tape composites)

v f :

Poisson's ratio of the filler material

v m :

Poisson's ratio of the matrix material

U max , U′ max :

Maximum normalized distortional energies for applied normal stresses in x- and y-directions (see Appendix)

V f :

Filler volume content

V m :

Matrix volume content

x, y :

Rectangular coordinates

u, v :

Displacement in x and y-directions

u 1, v 1 :

Displacements in x and y-directions for Case 1 in the Appendix

u 2, v 2 :

Displacements in x and y-directions for Case 2 in the Appendix

σ 1, σ 2 :

Principal stresses

\(\bar \sigma _{x1} ,\bar \sigma _{y1} \) :

Average normal stresses in x and y-directions for Case 1 in the Appendix

\(\bar \sigma _{x2} ,\bar \sigma _{y2} \) :

Average normal stresses in x and y-directions for Case 2 in the Appendix

\(\bar \sigma _x ,\bar \sigma _y \) :

Average normal stresses in x and y-directions for Case 3 in the Appendix

τ xy :

Shearing stress in xy-plane parallel to x or y-axis

a,b :

Width and length of the typical region

w, t :

Width and thickness of the tape

F.E.M. :

Results obtained by using the finite-element method

S.M.T. :

Results obtained by using the simple model theory

References

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Author notes

  1. P. E. Chen & L. E. Nielsen

    Present address: Central Research Department Monsanto Company, St. Louis, Missouri, USA

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    Authors
    1. P. E. Chen
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    2. L. E. Nielsen
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    Additional information

    Contribution HPC 68–72 from the Monsanto/ Washington University ONR/ARPA Association, “High Performance Composites”, St. Louis, Missouri, Contract ONR No. N 00014-67-C-0218, formerly Contract ONR No. N 00014-66-C-0045.

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    Chen, P.E., Nielsen, L.E. Mechanical properties of tape composites. Kolloid-Z.u.Z.Polymere 235, 1174–1181 (1969). https://doi.org/10.1007/BF01542524

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