caa a22 4500 605515611 CHVBK 20210128100710.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00205-015-0846-1 doi (NATIONALLICENCE)springer-10.1007/s00205-015-0846-1 Multi-Value Microstructural Descriptors for Complex Materials: Analysis of Ground States [Elektronische Daten] [Matteo Focardi, Paolo Mariano, Emanuele Spadaro] 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. Springer-Verlag Berlin Heidelberg, 2015 Focardi Matteo Università degli Studi di Firenze, V. le Morgagni 67/A, 50134, Firenze, Italy aut Mariano Paolo DiCeA, Università degli Studi di Firenze, V. Santa Marta 3, 50139, Firenze, Italy aut Spadaro Emanuele Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstrasse 22, 04103, Leipzig, Germany aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/3(2015-09-01), 899-933 0003-9527 217:3<899 2015 217 205 https://doi.org/10.1007/s00205-015-0846-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-015-0846-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Focardi Matteo Università degli Studi di Firenze, V. le Morgagni 67/A, 50134, Firenze, Italy aut NATIONALLICENCE 700 1- Mariano Paolo DiCeA, Università degli Studi di Firenze, V. Santa Marta 3, 50139, Firenze, Italy aut NATIONALLICENCE 700 1- Spadaro Emanuele Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstrasse 22, 04103, Leipzig, Germany aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/3(2015-09-01), 899-933 0003-9527 217:3<899 2015 217 205