Stability predictions through a succession of folds

Details Stability predictions through a succession of folds Stability predictions through a succession of folds

Aug 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979rspta.292....1t&link_type=abstract

Royal Society (London), Philosophical Transactions, Series A, vol. 292, no. 1386, Aug. 24, 1979, p. 1-23.

Physics

12

Folding, Structural Stability, Systems Stability, Theoretical Physics, Energy Methods, Equilibrium Methods, Gravitational Collapse, Hysteresis, Loads (Forces)

Scientific paper

For a discrete or discretized conservative gradient system - such as is envisaged in catastrophe theory and arises throughout the physical sciences - it is often necessary to assess the stable regions of an equilibrium path that exhibits a succession of folds. The application of the general theory to the external and internal stabilities of an elastic structure under dead or rigid loading is demonstrated. The use of the underlying theorems is shown in the buckling of elastic arches and domes, the gravitational instability of a massive cold star, and the prediction of internal stability changes at distinct points of bifurcation.

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