Your browser does not allow JavaScript!
JavaScript is necessary for the proper functioning of this website. Please enable JavaScript or use a modern browser.
Open Science Slovenia
Open Science
DiKUL
slv
|
eng
Search
Browse
New in RUL
About RUL
In numbers
Help
Sign in
Geometric modelling of elastic and elastic-plastic solids by separation of deformation energy and Prandtl operators
ID
Šeruga, Domen
(
Author
),
ID
Kosmas, Odysseas
(
Author
),
ID
Jivkov, Andrey P.
(
Author
)
PDF - Presentation file,
Download
(3,89 MB)
MD5: 79DCE22C88C853DD2949EF3B64789AA4
URL - Source URL, Visit
https://www.sciencedirect.com/science/article/pii/S0020768320301359
Image galllery
Abstract
A geometric method for analysis of elastic and elastic-plastic solids is proposed. It involves operators on naturally discrete domains representing a material's microstructure, rather than the classical discretisation of domains for solving continuum boundary value problems. Discrete microstructures are considered as general cell complexes, which are circumcentre-dual to simplicial cell complexes. The proposed method uses the separation of the total deformation energy into volumetric and distortional parts as a base for introducing elastoplastic material behaviour. Volumetric parts are obtained directly from volume changes of dual cells, and the distortional parts are calculated from the distance changes between primal and dual nodes. First, it is demonstrated that the method can accurately reproduce the elastic behaviour of solids with Poisson's ratios in the thermodynamically admissible range from -0.99 to 0.49. Further verification of the method is demonstrated by excellent agreement between analytical results and simulations of the elastic deformation of a beam subjected to a vertical displacement. Second, the Prandtl operator approach is used to simulate the behaviour of the solid during cyclic loading, considering its elastoplastic material properties. Results from simulations of cyclic behaviour during alternating and variable load histories are compared to expected macroscopic behaviour as further support to the applicability of the method to elastic-plastic problems.
Language:
English
Keywords:
geometric modelling
,
lattice model
,
discrete exterior calculus
,
Prandtl operator
,
critical raw materials
,
elasticity
,
plasticity
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
FS - Faculty of Mechanical Engineering
Publication status:
Published
Publication version:
Version of Record
Year:
2020
Number of pages:
Str. 136-148
Numbering:
Vol. 198
PID:
20.500.12556/RUL-116661
UDC:
519.876.5:539(045)
ISSN on article:
0020-7683
DOI:
10.1016/j.ijsolstr.2020.04.019
COBISS.SI-ID:
17592323
Publication date in RUL:
01.06.2020
Views:
1253
Downloads:
454
Metadata:
Cite this work
Plain text
BibTeX
EndNote XML
EndNote/Refer
RIS
ABNT
ACM Ref
AMA
APA
Chicago 17th Author-Date
Harvard
IEEE
ISO 690
MLA
Vancouver
:
Copy citation
Share:
Record is a part of a journal
Title:
International journal of solids and structures
Shortened title:
Int. j. solids struct.
Publisher:
Pergamon Press
ISSN:
0020-7683
COBISS.SI-ID:
997903
Licences
License:
CC BY 4.0, Creative Commons Attribution 4.0 International
Link:
http://creativecommons.org/licenses/by/4.0/
Description:
This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Secondary language
Language:
Slovenian
Keywords:
geometrijsko modeliranje
,
model na mreži
,
diskretni infinitezimalni račun
,
Prandtlov operator
,
kritični materiali
,
elastičnost
,
plastičnost
Projects
Funder:
Other - Other funder or multiple funders
Funding programme:
COST
Project number:
CA15102
Acronym:
CRM Extreme
Funder:
ARRS - Slovenian Research Agency
Project number:
P2-0182
Name:
Razvojna vrednotenja
Funder:
RCUK - Research Council UK
Funding programme:
EPSRC
Project number:
EP/N026136/1
Name:
Geometric mechanics of solids: new analysis of modern engineering materials
Similar documents
Similar works from RUL:
Similar works from other Slovenian collections:
Back