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

Aurora Angela Pisano; Paolo Fuschi

Curved and Layered Structures (2017)

- Volume: 4, Issue: 1, page 1-7
- ISSN: 2353-7396

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topAurora Angela Pisano, and Paolo Fuschi. "Structural symmetry within nonlocal integral elasticity: theoretical issues and computational strategies." Curved and Layered Structures 4.1 (2017): 1-7. <http://eudml.org/doc/288054>.

@article{AuroraAngelaPisano2017,

abstract = {The 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.},

author = {Aurora Angela Pisano, Paolo Fuschi},

journal = {Curved and Layered Structures},

keywords = {Structural symmetry; Nonlocal integral elasticity; Nonlocal finite element method; Enlarged symmetric model; Nonlocal boundary conditions},

language = {eng},

number = {1},

pages = {1-7},

title = {Structural symmetry within nonlocal integral elasticity: theoretical issues and computational strategies},

url = {http://eudml.org/doc/288054},

volume = {4},

year = {2017},

}

TY - JOUR

AU - Aurora Angela Pisano

AU - Paolo Fuschi

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

JO - Curved and Layered Structures

PY - 2017

VL - 4

IS - 1

SP - 1

EP - 7

AB - The 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.

LA - eng

KW - Structural symmetry; Nonlocal integral elasticity; Nonlocal finite element method; Enlarged symmetric model; Nonlocal boundary conditions

UR - http://eudml.org/doc/288054

ER -

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