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Elastic response of a free half-space to random force excitations applied on the boundary

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  • Shalimova, I.A.
  • Sabelfeld, K.K.
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    Abstract

    A response of an elastic half-space to random forces applied normally to the free boundary is studied. This paper is the second part of the study we presented in [I.A. Shalimova, K.K. Sabelfeld, The response of an elastic three-dimensional half-space to random correlated displacement perturbations on the boundary, Physica A 389 (21) (2010) 4436–4449] where the case of random displacements on the boundary was considered. We analyze the white noise excitations in detail, and derive explicitly the mean of the elastic energy, the strain and displacement correlation tensors. Simulation algorithms are constructed both for displacement and strain random fields, which enables us to calculate any desired statistical characteristics.

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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 391 (2012)
    Issue (Month): 23 ()
    Pages: 5887-5899

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    Handle: RePEc:eee:phsmap:v:391:y:2012:i:23:p:5887-5899

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Elastic half-space; Random excitations; White noise Karhunen–Loève expansion; Partially ordered defects;

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    1. Shalimova, I.A. & Sabelfeld, K.K., 2010. "The response of an elastic three-dimensional half-space to random correlated displacement perturbations on the boundary," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4436-4449.
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