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International Journal for Multiscale Computational Engineering

Publication de 6  numéros par an

ISSN Imprimer: 1543-1649

ISSN En ligne: 1940-4352

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STOCHASTIC ANALYSIS OF ONE-DIMENSIONAL HETEROGENEOUS SOLIDS WITH LONG-RANGE INTERACTIONS

Volume 9, Numéro 4, 2011, pp. 379-394
DOI: 10.1615/IntJMultCompEng.v9.i4.30
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RÉSUMÉ

Random mass distribution in one-dimensional (1D) elastic solids in the presence of long-range interactions is studied in this paper. Besides the local Cauchy contact forces among adjacent elements, long-range forces depending on the product of interacting masses, as well as on their relative displacements, are considered. In this context, the random fluctuations of the mass distribution involve a stochastic model of the nonlocal interactions, and the random displacement field of the body is provided as the solution of a stochastic integro-differential equation. The presence of the random field of mass distribution is reflected in the random kernel of the solving integro-differential equation with deterministic static and kinematic boundary conditions, since the long-range interactions have no effects at the borders. Numerical applications are reported to highlight the effects of fluctuations of the mass field along the body on the long-range forces and the mechanical response of the 1D elastic body considered.

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CITÉ PAR
  1. Muscolino Giuseppe, Sofi Alba, Zingales Massimiliano, One-dimensional heterogeneous solids with uncertain elastic modulus in presence of long-range interactions: Interval versus stochastic analysis, Computers & Structures, 122, 2013. Crossref

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  3. Di Paola Mario, Failla Giuseppe, Zingales Massimiliano, Non-local stiffness and damping models for shear-deformable beams, European Journal of Mechanics - A/Solids, 40, 2013. Crossref

  4. Dal Corso Francesco, Deseri Luca, Residual stresses in random elastic composites: nonlocal micromechanics-based models and first estimates of the representative volume element size, Meccanica, 48, 8, 2013. Crossref

  5. Alotta Gioacchino, Failla Giuseppe, Zingales Massimiliano, Finite element method for a nonlocal Timoshenko beam model, Finite Elements in Analysis and Design, 89, 2014. Crossref

  6. Failla Giuseppe, Sofi Alba, Zingales Massimiliano, A new displacement-based framework for non-local Timoshenko beams, Meccanica, 50, 8, 2015. Crossref

  7. Muscolino G., Sofi A., Zingales M., Long-Range Interactions in 1D Heterogeneous Solids with Uncertainty, Procedia IUTAM, 6, 2013. Crossref

  8. Paola Mario Di, Failla Giuseppe, Zingales Massimiliano, Mechanically Based Nonlocal Euler-Bernoulli Beam Model, Journal of Nanomechanics and Micromechanics, 4, 1, 2014. Crossref

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