Multi-Value Microstructural Descriptors for Complex Materials: Analysis of Ground States
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| 001 | 605515611 | ||
| 003 | CHVBK | ||
| 005 | 20210128100710.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150901xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-015-0846-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0846-1 | ||
| 245 | 0 | 0 | |a Multi-Value Microstructural Descriptors for Complex Materials: Analysis of Ground States |h [Elektronische Daten] |c [Matteo Focardi, Paolo Mariano, Emanuele Spadaro] |
| 520 | 3 | |a We propose and analyze a multi-scale and multi-field description of complex materials in which we consider every material element as a system composed by $${Q \in \mathbb{N}}$$ Q ∈ N indistinct substructures. We pay attention to the equilibrium configurations of such bodies. We consider first rigid bodies with microstructure represented by means of Q-valued maps from the reference place to the manifold of microstructural shapes. In that case, just microenergetics appears. Then, we enlarge the stage considering large strains and energies of Ginzburg-Landau type with respect to the microstructural descriptor fields. In both cases we provide conditions for semicontinuity of the relevant energies and the existence of ground states. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Focardi |D Matteo |u Università degli Studi di Firenze, V. le Morgagni 67/A, 50134, Firenze, Italy |4 aut | |
| 700 | 1 | |a Mariano |D Paolo |u DiCeA, Università degli Studi di Firenze, V. Santa Marta 3, 50139, Firenze, Italy |4 aut | |
| 700 | 1 | |a Spadaro |D Emanuele |u Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstrasse 22, 04103, Leipzig, Germany |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/3(2015-09-01), 899-933 |x 0003-9527 |q 217:3<899 |1 2015 |2 217 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0846-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0846-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Focardi |D Matteo |u Università degli Studi di Firenze, V. le Morgagni 67/A, 50134, Firenze, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Mariano |D Paolo |u DiCeA, Università degli Studi di Firenze, V. Santa Marta 3, 50139, Firenze, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Spadaro |D Emanuele |u Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstrasse 22, 04103, Leipzig, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/3(2015-09-01), 899-933 |x 0003-9527 |q 217:3<899 |1 2015 |2 217 |o 205 | ||