Summary
The present paper deals with Hamilton's principle for nonconvex, generally non-differentiable functions. It is shown that in this case Hamilton's principle can be formulated as a substationarity principle which is a generalization of a stationarity principle. To this end the recently defined notion of Clarke's generalized gradient is used. Finally a generalization of modified Hamilton's principle is discussed.
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May, H.O. Hamilton's principle as substationarity principle. Acta Mechanica 52, 177–187 (1984). https://doi.org/10.1007/BF01179615
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DOI: https://doi.org/10.1007/BF01179615