On the localisation of damage under pure bending using a nonlocal approach

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00321693" target="_blank" >RIV/68407700:21110/18:00321693 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.ijsolstr.2018.02.010" target="_blank" >http://dx.doi.org/10.1016/j.ijsolstr.2018.02.010</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijsolstr.2018.02.010" target="_blank" >10.1016/j.ijsolstr.2018.02.010</a>

Result language

angličtina

Original language name

On the localisation of damage under pure bending using a nonlocal approach

Original language description

To reproduce the behaviour of quasibrittle materials mathematically, constitutive laws with softening are needed, which often leads to development of damage localisation bands. If a standard local formulation is used, this approach leads to a pathological mesh dependence, which can be eliminated by making use of alternative nonlocal formulations. The aim of this paper is to assess the localisation properties of damage models under pure bending using different nonlocal formulations; to permit a partially analytical treatment, the idealised case of pure bending is studied. Under these conditions, the localisation process starts at the tensile face of the beam, which belongs to the boundary of the domain on which the prob- lem is solved. Consequently, localisation patterns are affected by the boundary treatment as well as other parameters, such as the characteristic length that defines the area contributing to the nonlocal averaging. This paper presents an analytical study of the onset of localisation of different nonlocal formulations for a beam under pure bending. In addition to it, the subsequent evolution of the localised solution is ex- plored by numerical simulations, analysing the localisation bands spacing, the dissipated energy profile φ φalong the fracture plane and the Moment- diagrams, with being a parameter that represents the ro- L Ltation that drives the loading process (φ stands for the relative rotation angle of the cross section and L for the beam length). An analysis of damage localisation on longer beams where damage localises in sev- eral areas is also carried out and, finally, the damage localisation due to shrinkage is studied as a more realistic example of the problem addressed here.

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

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OECD FORD branch

20102 - Construction engineering, Municipal and structural engineering

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Solids and Structures

ISSN

0020-7683

e-ISSN

1879-2146

Volume of the periodical

141-142

Issue of the periodical within the volume

June

Country of publishing house

GB - UNITED KINGDOM

Number of pages

15

Pages from-to

45-59

UT code for WoS article

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EID of the result in the Scopus database

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