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Solution of strongly nonlinear problems in the mechanics of a solid deformable body

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Abstract

A new algorithm for constructing a Lagrangian formulation of the incremental theory on the basis of finite-element digitization of the equilibrium equations of strongly nonlinear mechanical systems subject to static loads is proposed. Example solutions of problems of nonlinear deformation of a solid that confirm the validity of the applied relations between increments in stresses and increments in deformations is presented.

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Authors
  1. V. K. Tsykhanovskii
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Additional information

Technical University of Construction and Architecture, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 3, pp. 22–26, March, 1999.

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Tsykhanovskii, V.K. Solution of strongly nonlinear problems in the mechanics of a solid deformable body. Int Appl Mech 35, 233–237 (1999). https://doi.org/10.1007/BF02682117

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  • DOI: https://doi.org/10.1007/BF02682117

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