Exact constructions in the (non-linear) planar theory of elasticity: from elastic crystals to nematic elastomers
In this article we deduce necessary and sufficient conditions for the presence of “Conti-type”, highly symmetric, exactly stress-free constructions in the geometrically non-linear, planar n-well problem, generalising results of Conti et al. (Proc R Soc A 473(2203):20170235, 2017). Passing to the lim...
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
08 April 2020
|
| In: |
Archive for rational mechanics and analysis
Year: 2020, Jahrgang: 237, Heft: 1, Pages: 383-445 |
| ISSN: | 1432-0673 |
| DOI: | 10.1007/s00205-020-01511-9 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00205-020-01511-9
|
| Verfasserangaben: | Pierluigi Cesana, Francesco Della Porta, Angkana Rüland, Christian Zillinger, Barbara Zwicknagl |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1757756744 | ||
| 003 | DE-627 | ||
| 005 | 20220819204355.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 210512s2020 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s00205-020-01511-9 |2 doi | |
| 035 | |a (DE-627)1757756744 | ||
| 035 | |a (DE-599)KXP1757756744 | ||
| 035 | |a (OCoLC)1341413029 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Cesana, Pierluigi |e VerfasserIn |0 (DE-588)1151329908 |0 (DE-627)1011561514 |0 (DE-576)497593637 |4 aut | |
| 245 | 1 | 0 | |a Exact constructions in the (non-linear) planar theory of elasticity |b from elastic crystals to nematic elastomers |c Pierluigi Cesana, Francesco Della Porta, Angkana Rüland, Christian Zillinger, Barbara Zwicknagl |
| 264 | 1 | |c 08 April 2020 | |
| 300 | |a 63 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 12.05.2021 | ||
| 520 | |a In this article we deduce necessary and sufficient conditions for the presence of “Conti-type”, highly symmetric, exactly stress-free constructions in the geometrically non-linear, planar n-well problem, generalising results of Conti et al. (Proc R Soc A 473(2203):20170235, 2017). Passing to the limit $$n\rightarrow \infty $$, this allows us to treat solid crystals and nematic elastomer differential inclusions simultaneously. In particular, we recover and generalise (non-linear) planar tripole star type deformations which were experimentally observed in Kitano and Kifune (Ultramicroscopy 39(1-4):279-286, 1991), Manolikas and Amelinckx (Physica Status Solidi (A) 60(2):607-617, 1980; Physica Status Solidi (A) 61(1):179-188, 1980). Furthermore, we discuss the corresponding geometrically linearised problem. | ||
| 700 | 1 | |a Della Porta, Francesco |e VerfasserIn |0 (DE-588)1233399160 |0 (DE-627)1757756337 |4 aut | |
| 700 | 1 | |a Rüland, Angkana |d 1987- |e VerfasserIn |0 (DE-588)1051987679 |0 (DE-627)787342378 |0 (DE-576)407655506 |4 aut | |
| 700 | 1 | |a Zillinger, Christian |d 1988- |e VerfasserIn |0 (DE-588)1030354405 |0 (DE-627)735116431 |0 (DE-576)378161326 |4 aut | |
| 700 | 1 | |a Zwicknagl, Barbara |e VerfasserIn |0 (DE-588)1233399373 |0 (DE-627)1757756906 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Archive for rational mechanics and analysis |d Berlin : Springer, 1957 |g 237(2020), 1, Seite 383-445 |h Online-Ressource |w (DE-627)253390036 |w (DE-600)1458447-5 |w (DE-576)072283246 |x 1432-0673 |7 nnas |a Exact constructions in the (non-linear) planar theory of elasticity from elastic crystals to nematic elastomers |
| 773 | 1 | 8 | |g volume:237 |g year:2020 |g number:1 |g pages:383-445 |g extent:63 |a Exact constructions in the (non-linear) planar theory of elasticity from elastic crystals to nematic elastomers |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-020-01511-9 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20210512 | ||
| 993 | |a Article | ||
| 994 | |a 2020 | ||
| 998 | |g 1051987679 |a Rüland, Angkana |m 1051987679:Rüland, Angkana |d 110000 |d 110200 |d 110000 |d 110400 |e 110000PR1051987679 |e 110200PR1051987679 |e 110000PR1051987679 |e 110400PR1051987679 |k 0/110000/ |k 1/110000/110200/ |k 0/110000/ |k 1/110000/110400/ |p 3 | ||
| 999 | |a KXP-PPN1757756744 |e 3927736279 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"person":[{"role":"aut","roleDisplay":"VerfasserIn","display":"Cesana, Pierluigi","given":"Pierluigi","family":"Cesana"},{"display":"Della Porta, Francesco","roleDisplay":"VerfasserIn","role":"aut","family":"Della Porta","given":"Francesco"},{"roleDisplay":"VerfasserIn","display":"Rüland, Angkana","role":"aut","family":"Rüland","given":"Angkana"},{"display":"Zillinger, Christian","roleDisplay":"VerfasserIn","role":"aut","family":"Zillinger","given":"Christian"},{"role":"aut","display":"Zwicknagl, Barbara","roleDisplay":"VerfasserIn","given":"Barbara","family":"Zwicknagl"}],"title":[{"subtitle":"from elastic crystals to nematic elastomers","title":"Exact constructions in the (non-linear) planar theory of elasticity","title_sort":"Exact constructions in the (non-linear) planar theory of elasticity"}],"language":["eng"],"recId":"1757756744","type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 12.05.2021"],"name":{"displayForm":["Pierluigi Cesana, Francesco Della Porta, Angkana Rüland, Christian Zillinger, Barbara Zwicknagl"]},"id":{"doi":["10.1007/s00205-020-01511-9"],"eki":["1757756744"]},"origin":[{"dateIssuedKey":"2020","dateIssuedDisp":"08 April 2020"}],"relHost":[{"recId":"253390036","language":["eng"],"type":{"media":"Online-Ressource","bibl":"periodical"},"note":["Gesehen am 01.11.05"],"disp":"Exact constructions in the (non-linear) planar theory of elasticity from elastic crystals to nematic elastomersArchive for rational mechanics and analysis","part":{"extent":"63","text":"237(2020), 1, Seite 383-445","volume":"237","issue":"1","pages":"383-445","year":"2020"},"pubHistory":["1.1957 -"],"title":[{"title":"Archive for rational mechanics and analysis","title_sort":"Archive for rational mechanics and analysis"}],"physDesc":[{"extent":"Online-Ressource"}],"id":{"eki":["253390036"],"zdb":["1458447-5"],"issn":["1432-0673"]},"origin":[{"dateIssuedDisp":"1957-","publisher":"Springer","dateIssuedKey":"1957","publisherPlace":"Berlin ; Heidelberg"}]}],"physDesc":[{"extent":"63 S."}]} | ||
| SRT | |a CESANAPIEREXACTCONST0820 | ||