Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Structural symmetry within nonlocal integral elasticity: theoretical issues and computational strategies

Structural symmetry within nonlocal integral elasticity: theoretical issues and computational... AbstractThe structural symmetry and the appropriate definition of a reduced (symmetric) mechanical/ numerical model is discussed within a nonlocal elasticity context. In particular, reference is made to an integral model of Eringen-type. The paper highlights how the classical, i.e. local, concepts of structural symmetry have to be rephrased through the definition of an enlarged symmetric model of the analyzed structure. This enlarged model, endowed with apposite nonlocal boundary conditions enforced in an iterative fashion, is proved to be able to recover the nonlocal effects that the neglected portion of the structure exerts on the portion chosen for the analysis. It is shown how the mirrored symmetric solution exactly matches the complete one. Theoretical issues and computational strategies referred to a nonlocal version of the finite element method are discussed with reference to the analysis of a case-study. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Curved and Layered Structures de Gruyter

Structural symmetry within nonlocal integral elasticity: theoretical issues and computational strategies

Download PDF
7 pages

Loading next page...
 
/lp/de-gruyter/structural-symmetry-within-nonlocal-integral-elasticity-theoretical-t8KWDdM8mo
Publisher
de Gruyter
Copyright
© 2017
eISSN
2353-7396
DOI
10.1515/cls-2017-0001
Publisher site
See Article on Publisher Site

Abstract

AbstractThe structural symmetry and the appropriate definition of a reduced (symmetric) mechanical/ numerical model is discussed within a nonlocal elasticity context. In particular, reference is made to an integral model of Eringen-type. The paper highlights how the classical, i.e. local, concepts of structural symmetry have to be rephrased through the definition of an enlarged symmetric model of the analyzed structure. This enlarged model, endowed with apposite nonlocal boundary conditions enforced in an iterative fashion, is proved to be able to recover the nonlocal effects that the neglected portion of the structure exerts on the portion chosen for the analysis. It is shown how the mirrored symmetric solution exactly matches the complete one. Theoretical issues and computational strategies referred to a nonlocal version of the finite element method are discussed with reference to the analysis of a case-study.

Journal

Curved and Layered Structures – de Gruyter

Published: Jan 26, 2017

References

  • Symmetric structures made of a nonlocal elastic material pages
    Fuschi
  • gradient plasticity theory experiments
    Fleck
  • Non - local modeling of epoxy using an atomistically - informed kernel of and
    Ghosh
  • symmetric nonlocal damage theory of and
    Borino
  • Stability of structures elastic inelastic fracture and damage theories World Scientific Publishing Company Ed
    Bažant
  • Field Theories Foundations Solids Verlag New York
    Eringen
  • Introduction to nonlocal theory of material media In Nonlocal theory of material media Verlag
    Rogula
  • Reformulation of elasticity theory for discontinuities and long - range forces of and Physics of Solids
    Silling
  • Plane stress problems in nonlocal elasticity : finite element solutions with a strain - difference - based formulation of and
    Fuschi
  • continuum field theories - Verlag New York
    Eringen
  • elasticity and related variational principles of and
    Polizzotto
  • Article Improved Continuous Models for Discrete Media Hindawi Publishing Corporation Mathematical Problems in Engineering Article ID
    Andrianov
  • Gradient elasticity in statics and dynamics : an overview of formulations length scale identification procedures finite element implementations and new results of Solids and Structures
    Askes
  • On the asymptotic crack - tip stress field in nonlocal orthotropic elasticity of Solids and Structures
    Allegri