On certain integrable nonlinear membrane solutions

Wu, Chien-Heng

doi:10.1090/qam/99804

Author: Chien-Heng Wu
Journal: Quart. Appl. Math. 28 (1970), 81-90
DOI: https://doi.org/10.1090/qam/99804
MathSciNet review: QAM99804
Full-text PDF Free Access

References | Additional Information

Pipkin, A. C., Integration of an equation in membrane theory, ZAMP 19, 818–819 (1968)

Wu, C. H., Tube to annulus—an exact nonlinear membrane solution, Quart. Appl. Math. 27, 489–496 (1970)

A. E. Green and J. E. Adkins, Large elastic deformations, Clarendon Press, Oxford, 1970. Second edition, revised by A. E. Green. MR 0269158
C. Truesdell and R. Toupin, Static grounds for inequalities in finite strain of elastic materials, Arch. Rational Mech. Anal. 12 (1963), 1–33. MR 144511, DOI https://doi.org/10.1007/BF00281217

Stoker, J. J., Topics in non-linear elasticity, Courant Institute of Mathematical Sciences, 1964.

Chester B. Sensenig, Instability of thick elastic solids, Comm. Pure Appl. Math. 17 (1964), 451–491. MR 169453, DOI https://doi.org/10.1002/cpa.3160170406