Bending of an elastoplastic Hencky bar-chain: from discrete to nonlocal continuous beam models

Bending of an elastoplastic Hencky bar-chain: from discrete to nonlocal continuous beam models Meccanica https://doi.org/10.1007/s11012-018-0862-y Bending of an elastoplastic Hencky bar-chain: from discrete to nonlocal continuous beam models Vincent Picandet Noe ¨l Challamel Received: 17 April 2017 / Accepted: 18 May 2018 Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract The static behavior of an elastoplastic one- the nonlocal engineering model are solved for the dimensional lattice system in bending, also called a structural configurations investigated in the lattice microstructured elastoplastic beam or elastoplastic problem. It is shown that the new micromechanics- Hencky bar-chain (HBC) system, is investigated. The based nonlocal elastoplastic beam model efficiently lattice beam is loaded by concentrated or distributed captures the scale effects of the elastoplastic lattice transverse monotonic forces up to the complete model, used as the reference. The hardening–softening collapse. The phenomenon of softening localization localization process of the nonlocal continuous model is also included. The lattice system is composed of strongly depends on the lattice spacing which controls piecewise linear hardening–softening elastoplastic the size of the nonlocal length scales. hinges connected via rigid elements. This physical system can be viewed as the generalization of the Keywords Lattice  Elastoplasticity  Bending elastic HBC model to the nonlinear elastoplasticity Nonlocal model  Localization  http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Meccanica Springer Journals

Bending of an elastoplastic Hencky bar-chain: from discrete to nonlocal continuous beam models

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Publisher
Springer Netherlands
Copyright
Copyright © 2018 by Springer Science+Business Media B.V., part of Springer Nature
Subject
Physics; Classical Mechanics; Civil Engineering; Automotive Engineering; Mechanical Engineering
ISSN
0025-6455
eISSN
1572-9648
D.O.I.
10.1007/s11012-018-0862-y
Publisher site
See Article on Publisher Site

Abstract

Meccanica https://doi.org/10.1007/s11012-018-0862-y Bending of an elastoplastic Hencky bar-chain: from discrete to nonlocal continuous beam models Vincent Picandet Noe ¨l Challamel Received: 17 April 2017 / Accepted: 18 May 2018 Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract The static behavior of an elastoplastic one- the nonlocal engineering model are solved for the dimensional lattice system in bending, also called a structural configurations investigated in the lattice microstructured elastoplastic beam or elastoplastic problem. It is shown that the new micromechanics- Hencky bar-chain (HBC) system, is investigated. The based nonlocal elastoplastic beam model efficiently lattice beam is loaded by concentrated or distributed captures the scale effects of the elastoplastic lattice transverse monotonic forces up to the complete model, used as the reference. The hardening–softening collapse. The phenomenon of softening localization localization process of the nonlocal continuous model is also included. The lattice system is composed of strongly depends on the lattice spacing which controls piecewise linear hardening–softening elastoplastic the size of the nonlocal length scales. hinges connected via rigid elements. This physical system can be viewed as the generalization of the Keywords Lattice  Elastoplasticity  Bending elastic HBC model to the nonlinear elastoplasticity Nonlocal model  Localization 

Journal

MeccanicaSpringer Journals

Published: May 31, 2018

References

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