caa a22 4500 445843381 CHVBK 20180317145351.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s00526-010-0354-y doi (NATIONALLICENCE)springer-10.1007/s00526-010-0354-y Models of defects in atomistic systems [Elektronische Daten] [Andrea Braides, Laura Sigalotti] We analyze the overall behavior of discrete systems in the presence of defects (modeled by truncated quadratic potentials for some of the interactions) by exhibiting approximate free-discontinuity continuous energies. We give bounds on the limit surface energy densities, and we prove that these bounds are sharp in the classes of energy densities depending only on the normal to the discontinuity set, or concave and depending only on the jump across the interface. As a preliminary result we give a continuous descriptions of the ‘discrete Neumann sieve'. Springer-Verlag, 2010 Braides Andrea Dipartimento di Matematica, Università di Roma ‘Tor Vergata', Via della Ricerca Scientifica 1, 00133, Rome, Italy aut Sigalotti Laura Dipartimento di Matematica, Università di Roma ‘La Sapienza', p.le A. Moro 2, 00185, Rome, Italy aut Calculus of Variations and Partial Differential Equations Springer-Verlag 41/1-2(2011-05-01), 71-109 0944-2669 41:1-2<71 2011 41 526 https://doi.org/10.1007/s00526-010-0354-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-010-0354-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Braides Andrea Dipartimento di Matematica, Università di Roma ‘Tor Vergata', Via della Ricerca Scientifica 1, 00133, Rome, Italy aut NATIONALLICENCE 700 1- Sigalotti Laura Dipartimento di Matematica, Università di Roma ‘La Sapienza', p.le A. Moro 2, 00185, Rome, Italy aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 41/1-2(2011-05-01), 71-109 0944-2669 41:1-2<71 2011 41 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer