| bibtype |
J -
Journal Article
|
| ARLID |
0554516 |
| utime |
20250310153352.6 |
| mtime |
20220227235959.9 |
| SCOPUS |
85125268844 |
| WOS |
000795866800002 |
| DOI |
10.1016/j.apm.2022.01.028 |
| title
(primary) (eng) |
A theory of magneto-elastic nanorods obtained through rigorous dimension reduction |
| specification |
| page_count |
22 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0252056 |
| ISSN |
0307-904X |
| title
|
Applied Mathematical Modelling |
| volume_id |
106 |
| volume |
1 (2022) |
| page_num |
426-447 |
| publisher |
|
|
| keyword |
Magnetic actuation |
| keyword |
Non-simple materials |
| keyword |
Distributed torques |
| keyword |
Variational convergence |
| keyword |
Size effects |
| author
(primary) |
| ARLID |
cav_un_auth*0427574 |
| name1 |
Ciambella |
| name2 |
J. |
| country |
IT |
| share |
33 |
|
| author
|
| ARLID |
cav_un_auth*0101142 |
| name1 |
Kružík |
| name2 |
Martin |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| full_dept |
Department of Decision Making Theory |
| share |
34 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0425668 |
| name1 |
Tomassetti |
| name2 |
G. |
| country |
IT |
| share |
33 |
| garant |
K |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
GF19-29646L |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0385134 |
|
| abstract
(eng) |
Starting from a two-dimensional theory of magneto-elasticity for fiber-reinforced magnetic elastomers we carry out a rigorous dimension reduction to derive a rod model that describes a thin magneto-elastic strip undergoing planar deformations. The main features of the theory are the following: a magneto-elastic interaction energy that manifests itself through a distributed torque, a penalization term that prevents local interpenetration of matter, a regularization term that depends on the second gradient of the deformation and models microstructure-induced size effects. As an application, we consider a problem involving magnetically-induced buckling and we study how the intensity of the field at the onset of the instability increases if the length of the rod is decreased. Finally, we assess the accuracy of the deduced model by performing numerical simulations where we compare the two-dimensional and the one-dimensional theories in some special cases, and we observe excellent agreement. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2023 |
| num_of_auth |
3 |
| mrcbC52 |
2 R hod 4 4rh 4 20250310150218.4 4 20250310153352.6 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0330287 |
| confidential |
S |
| mrcbC86 |
n.a. Article Engineering Multidisciplinary|Mathematics Interdisciplinary Applications|Mechanics |
| mrcbC91 |
C |
| mrcbT16-e |
ENGINEERINGMULTIDISCIPLINARY|MATHEMATICSINTERDISCIPLINARYAPPLICATIONS|MECHANICS |
| mrcbT16-j |
0.873 |
| mrcbT16-s |
1.08 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q2 |
| arlyear |
2022 |
| mrcbTft |
\nSoubory v repozitáři: kruzik-0554516.pdf |
| mrcbU14 |
85125268844 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000795866800002 WOS |
| mrcbU63 |
cav_un_epca*0252056 Applied Mathematical Modelling 0307-904X 1872-8480 Roč. 106 č. 1 2022 426 447 Elsevier |
|