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A Stroh Formalism for Small-on-Large Problems in Spherical Polar Coordinates

  • P. A. MartinEmail author
Article
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Abstract

The governing equations for small-on-large analysis of an incompressible hyperelastic solid are reduced to a coupled system of six first-order ordinary differential equations with respect to the radial coordinate in spherical polar coordinates. This reduction to Stroh form does not assume a particular form for the strain-energy function.

Keywords

Nonlinear elasticity Small-on-large Incremental equations 

Mathematics Subject Classification (2010)

74B15 74B20 35A09 35J57 

Notes

Acknowledgements

I thank Michel Destrade for advice and pointers to the literature, and an anonymous reviewer for constructive comments.

Supplementary material

10659_2019_9730_MOESM1_ESM.pdf (142 kb)
A Stroh formalism for small-on-large problems in spherical polar coordinates (PDF 142 kB)

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Applied Mathematics and StatisticsColorado School of MinesGoldenUSA

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