Summary
Universal solutions for the deformation of inflation, bending, extension and azimuthal shearing of a fiber-reinforced sector of a circular tube are obtained by inverse methods. The material is assumed to be isotropic and non-linear elastic, incompressible or compressible. The reinforcement consists of inextensible fibers along theR or Θ orZ directions or in one or two sets of helical path. The surface tractions and the corresponding forces to support the deformation are determined. A discussion is made about the strengthening of the material due to the reinforcement, the sign of the tension in the fibers and the deformed configuration of the fibers.
Zusammenfassung
Allgemeine Lösungen dieses Problems werden durch Umkehrmethoden erhalten. Der Werkstoff wird isotrop und nichtlinear-elastisch, kompressible oder inkompressibel vorausgesetzt, mit Faserverstärkung inR- oder Θ- oderZ-Richtung oder in einer Schar oder in zwei Scharen schraubenförmig. Oberflächenspannungen und die der Deformation entsprechenden Kräfte werden bestimmt. Diskutiert wird die Verstärkung des Körpers durch die Fasern, das Vorzeichen der Normalkraft in den Fasern und die verformte Gestalt der Fasern.
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References
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Aifantis, E.C., Beskos, D.E. Inflation bending extension and azimuthal shearing of a fiber-reinforced elastic sector of a circular tube. Acta Mechanica 26, 159–170 (1977). https://doi.org/10.1007/BF01177143
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DOI: https://doi.org/10.1007/BF01177143