Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Some developments in the theory of inextensible networks


Author: A. C. Pipkin
Journal: Quart. Appl. Math. 38 (1980), 343-355
MSC: Primary 73K15; Secondary 73C50
DOI: https://doi.org/10.1090/qam/592201
MathSciNet review: 592201
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References [Enhancements On Off] (What's this?)

  • [1] R. S. Rivlin, Plane strain of a net formed by inextensible cords, J. Rational Mech. Anal. 4 (1955), 951–974. MR 0074998
  • [2] R. S. Rivlin, Networks of inextensible cords, Nonlinear Problems of Engineering, Academic Press, New York, 1964, pp. 51–64. MR 0177542
  • [3] J. E. Adkins, Finite plane deformation of thin elastic sheets reinforced with inextensible cords, Philos. Trans. Roy. Soc. London. Ser. A. 249 (1956), 125–150. MR 0079909, https://doi.org/10.1098/rsta.1956.0017
  • [4] A. C. Pipkin and T. G. Rogers, Plane deformations of incompressible fiber-reinforced materials, J. Appl. Mech. 38, 634-40 (1971)
  • [5] G. C. Everstine and A. C. Pipkin, Stress channelling in transversely isotropic elastic composites, ZAMP 22, 825-34 (1971)

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DOI: https://doi.org/10.1090/qam/592201
Article copyright: © Copyright 1980 American Mathematical Society


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