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Stresses and deflections in a pseudo-elastic beam under cyclic loads

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Abstract.

We consider a cantilever beam loaded by a concentrated transverse force at its free end. We assume that plane cross-sections remain plane in the deformed state and that the material obeys a particular non-linear stress-strain law, proposed by Landau and extended by Falk and Müller, in order to describe the pseudo-elastic behaviour. We find the explicit solution of the problem, and examine the deflection of the axis of the beam under the action of a prescribed slowly varying cyclical load.

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Authors and Affiliations

  1. Department of Structural Engineering, University of Pisa, Via Diotisalvi, 2, 56126, Pisa, Italy

    G. Buratti

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  1. G. Buratti
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Correspondence to G. Buratti.

Additional information

Communicated by I. Müller

Received: 10 August 2004, Accepted: 19 August 2004, Published online: 4 March 2005

PACS:

62.20.Fe

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Buratti, G. Stresses and deflections in a pseudo-elastic beam under cyclic loads. Continuum Mech. Thermodyn. 17, 149–157 (2005). https://doi.org/10.1007/s00161-004-0193-1

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  • DOI: https://doi.org/10.1007/s00161-004-0193-1

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