Tafula ra Swihlanganisi   Xitlhokovetselo na 1. Xingheniso   1.1 Metamaterial leyi simekiweke eka Polyethylene ya vulawuri bya mpfumawulo   2 Ku ntshunxeka ka micromorphic modeling ya ti metamaterials ta sayizi leyi heleleke   2.1 Tetragonal Symmetry / Xivumbeko xa titensor ta elastic (hi notation ya Voigt) .   3 Ti curve ta ku hangalaka   4 Swibumabumelo leswintshwa eka tipharamitha ta micromorphic leti ntshunxekeke   4.1 Ku ringanana ka modele wa micromorphic lowu ntshunxekeke hi ku xixima ku cinca eka swivumbeko swa swilo swo tala swa sele ya yuniti   4.2 Ku ringanana ka modele wa micromorphic lowu ntshunxekeke mayelana na ku cinca ka vukulu bya sele ya yuniti   4.3 Ku tsemiwa ka micromorphic loku ntshunxekeke   5 Ku ringanela ka tipharamitha ta micromorphic leti ntshunxekeke: mhaka yo karhi ya ku gombonyoka loku nyamalaka (handle ka Curl P na Curl P ̇) .   5.1 Swikombiso leswi nga riki na swikombiso   5.2 Ku ringanela   5.3 Nxopaxopo   6 Ku ringanisiwa ka tipharamitha ta micromorphic leti ntshunxekeke hi ku gombonyoka (hi Curl P) .   6.1 Swikombiso na 6.2 Ku ringanela   6.3 Nxopaxopo   7 Ku ringanisiwa ka tipharamitha ta micromorphic leti ntshunxekeke hi matimba ya kinetic lama antswisiweke (na Curl P ̇) na 7.1 Asymptotes   7.2 Ku ringanela   7.3 Nxopaxopo   8 Nkatsakanyo wa mimbuyelo leyi kumiweke   9 Mahetelelo na mavonelo, Ku khensa na Swikombo   Tensor ya 4th order leyi tolovelekeke swinene leyi welaka eka ntlawa wa tetragonal symmetry   B Tikhoyifisiyense ta ti curve ta ku hangalaka handle ka Curl P   C Tikhoyifisiyense ta ti curve ta ku hangalaka na P   D Tikhoyifisiyense ta ti curve ta ku hangalaka na P◦  2 Ku ntshunxeka ka micromorphic modeling ya ti metamaterials ta sayizi leyi heleleke   eka modele wa xikhale wa Cauchy, na   eka modele wa micromorphic lowu ntshunxekeke, laha hi vekaka kona   Xiyimo xa ndzilakano wa Neumann eka modele wa Cauchy wa xikhale i   2.1 Tetragonal Symmetry / Xivumbeko xa titensor ta elastic (hi notation ya Voigt) .   Phepha leri ri   ehansi ka layisense ya CC BY 4.0 DEED.  kumeka eka arxiv [7] Hi tsala “m” eka “micro” na “M” eka “macro” eka tipharamitha ta elastic leti fambelanaka ku pfuxeta swivulavulelo leswi landzelaka.    Vatsari: .  (1) Jendrik Voss, Nhlangano wa Makhanikhi ya Xivumbeko na Dynamics, Yunivhesiti ya Xithekiniki ya Dortmund na Mutsari la Twananaka (jendrik.voss@tu-dortmund.de);  (2) Gianluca Rizzi, Nhlangano wa Makhanikhi ya Swivumbeko na Dynamics, Yunivhesiti ya Xithekiniki ya Dortmund;  (3) Patrizio Neff, Mutshamaxitulu wa Nxopaxopo wa Nonlinear na Modeling, Xiyenge xa Tinhlayo, Yunivhesiti ya Duisburg-Essen;  (4) Angela Madeo, Nhlangano wa Makhanikhi ya Swivumbeko na Dynamics, Yunivhesiti ya Xithekiniki ya Dortmund.

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