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   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   ngaphansi kwelayisensi ye-CC BY 4.0 DEED.  litholakala ku-arxiv [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 (jendrik.voss@tu-dortmund.de);  (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.

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