Abstract
These lectures will consist of a sequence of problems, mainly from the theories of large elastic deformation and viscoelastic flow. In these theories, properties of materials are described by equations that are not linear. They are usually so badly nonlinear that it is just as well to regard the functions that appear in them as almost arbitrary.
The prospect of a non-linear problem is frightening because the standard methods based on superposition are inapplicable. The fright is psychological; no one solves linear problems either, by pencil and paper, unless the problem has a great deal of symmetry. The use of symmetry is usually not acknowledged. It is regarded as cheating.
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Pipkin, A.C. (2010). Non-linear phenomena in continua. In: Rivlin, R. (eds) Non-linear Continuum Theories in Mechanics and Physics and their Applications. C.I.M.E. Summer Schools, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11090-0_3
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