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Some a priori estimates in mechanics

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Abstract

The scope for quantitative a priori estimators is considered and some of the input data are of probabilistic type subject to given constraints. Corresponding estimates are given for the stability of a rod with initial imperfections on pulsed loading, boundary-value problems for a planar potential, and topics in planar elasticity; these relate the constraints imposed on the initial data to certain solution characteristics. Methods are given for determining the coefficients in the corresponding inequalities.

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Authors
  1. V. I. Tarakanov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 114–120, August, 1992.

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Tarakanov, V.I. Some a priori estimates in mechanics. Russ Phys J 35, 777–782 (1992). https://doi.org/10.1007/BF00568748

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  • DOI: https://doi.org/10.1007/BF00568748

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