Some sufficient conditions for lower semicontinuity in SBD and applications to minimum problems

We provide some lower semicontinuity results in the space of special functions of bounded deformation for energies of the type and give some examples and applications to minimum problems, arising in Fracture Mechanics for linearly elastic materials. Copyright © 2011 John Wiley & Sons, Ltd.

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Veröffentlicht in:	Mathematical methods in the applied sciences 2011-08, Vol.34 (12), p.1541-1552
Hauptverfasser:	Gargiulo, Giuliano, Zappale, Elvira
Format:	Artikel
Sprache:	eng
Schlagworte:	BV-ellipticity Deformation Elastic deformation Exact sciences and technology fracture Fracture mechanics Fracture toughness free discontinuity problems joint convexity lower semicontinuity Mathematical analysis Mathematics Sciences and techniques of general use Special functions special vector fields with bounded deformation
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Beschreibung
Zusammenfassung:	We provide some lower semicontinuity results in the space of special functions of bounded deformation for energies of the type and give some examples and applications to minimum problems, arising in Fracture Mechanics for linearly elastic materials. Copyright © 2011 John Wiley & Sons, Ltd.
ISSN:	0170-4214 1099-1476 1099-1476
DOI:	10.1002/mma.1464