Ukwenza Imodeli Ye-Finite-Size Metamaterials nge-Relaxed Micromorphic Theory

Kude kakhulu; Uzofunda

Lesi sigaba sihlola imodeli ye-micromorphic ekhululekile ye-metamatadium enosayizi olinganiselwe, echaza i-tetragonal symmetry, ama-elastic tensor ku-Voigt notation, nezimo zomngcele. Iqhathanisa imodeli ye-Cauchy yakudala nezindlela ze-micromorphic zokuhlaziywa kwe-metamaterial elasticity ethuthukisiwe.
featured image - Ukwenza Imodeli Ye-Finite-Size Metamaterials nge-Relaxed Micromorphic Theory
Labyrinthine Technologies HackerNoon profile picture
0-item

Ithebula Lezixhumanisi

Abstract kanye 1. Isingeniso

1.1 I-metamaterial esekwe ku-Polyethylene yokulawula i-acoustic

2 Imodeli ye-micromorphic ekhululekile yama-metamatadium anosayizi olinganiselwe

2.1 I-Tetragonal Symmetry / Umumo wama-elastic tensor (nge-Voigt notation)

3 Amajika okuhlakazeka

4 Ukucatshangelwa okusha kumapharamitha we-micromorphic akhululekile

4.1 Ukuvumelana kwemodeli ye-micromorphic ekhululekile ngokuphathelene noshintsho lwezakhiwo zeyunithi yeseli

4.2 Ukuvumelana kwemodeli ye-micromorphic ekhululekile ngokuphathelene noshintsho kusayizi weyunithi yeseli

4.3 Izinqamuleli ze-micromorphic ezikhululekile

5 Ukufakwa kwamapharamitha we-micromorphic akhululekile: ikesi elithile lokugoba elinyamalalayo (ngaphandle kwe-Curl P ne-Curl P˙)

5.1 Asymptotes

5.2 Ukulinganisa

5.3 Ingxoxo

6 Ukufakwa kwemingcele ekhululekile ye-micromorphic ene-curvature (nge-Curl P)

6.1 Asymptotes kanye 6.2 Ukulinganisa

6.3 Ingxoxo

7 Ukufakwa kwamapharamitha we-micromorphic akhululekile ngamandla e-kinetic athuthukisiwe (nge-Curl P˙) kanye ne-7.1 Asymptotes

7.2 Ukulinganisa

7.3 Ingxoxo

8 Isifinyezo semiphumela etholiwe

9 Isiphetho kanye nemibono, Ukubongwa, kanye Nezinkomba

I-tensor ye-oda yesi-4 ejwayelekile kakhulu eyingxenye yekilasi le-tetragonal symmetry

B Ama-Coefficients wamajika wokusabalalisa ngaphandle kwe-Curl P

Ama-Coefficients wamajika wokusabalalisa ano-P

D Ama-coefficients amajika okuhlakazeka ane-P◦

2 Imodeli ye-micromorphic ekhululekile yama-metamatadium anosayizi olinganiselwe


Umfanekiso 1: Ijometri yeyunithi yeseli. Kwesokunxele: imininingwane yeyunithi yeseli eyodwa (izungeziswe ngamadigri angu-45) ebonisa ukulinganisa kwe-tetragonal. Ku-= 20mm njengosayizi weyunithi esizoyicabangela kamuva, kokubili imigoqo nemigodi inogqinsi luka-0.4mm ngayinye. Kwesokudla: Ingxenye engu-3x3 ye-metamaterial eyenziwe yile yunithi seli (isikwele esidayishiwe esibomvu).



yemodeli ye-Cauchy yakudala, kanye



kumodeli ye-micromorphic ekhululekile, lapho sibeka khona



Isimo somngcele we-Neumann wemodeli ye-Cauchy yakudala


2.1 I-Tetragonal Symmetry / Umumo wama-elastic tensor (nge-Voigt notation)









Leli phepha litholakala ku-arxiv ngaphansi kwelayisensi ye-CC BY 4.0 DEED.


[7] Sibhala u-“m” othi “micro” kanye no-“M” we-“macro” kumapharamitha okunwebeka ahambisanayo ukuze afinyeze izinkulumo ezilandelayo.



Ababhali:

(1) Jendrik Voss, Isikhungo Semishini Yesakhiwo kanye Nezokusebenza, i-Technical University Dortmund kanye Nombhali Ovumelana naye ([email protected]);

(2) U-Gianluca Rizzi, iSikhungo Semishini Yesakhiwo kanye Nezokusebenza, i-Technical University Dortmund;

(3) U-Patrizio Neff, uSihlalo Wokuhlaziya Nokumodela Okungaqondile, i-Faculty of Mathematics, iNyuvesi yaseDuisburg-Essen;

(4) u-Angela Madeo, iSikhungo Semishini Yesakhiwo kanye Nezamandla, i-Technical University Dortmund.


Trending Topics

blockchaincryptocurrencyhackernoon-top-storyprogrammingsoftware-developmenttechnologystartuphackernoon-booksBitcoinbooks