TY - JOUR
T1 - Edge-force densities and second-order powers
AU - Degiovanni, Marco
AU - Marzocchi, Alfredo
AU - Musesti, Alessandro
PY - 2006
Y1 - 2006
N2 - By means of balanced virtual powers, it is developed an axiomatic approach, in the spirit of Noll, to second-gradient continua. The measure-theoretical formulation allows a considerable simplification, since the existence of an edge stress density is regarded as a special case of a surface stress which is a singular measure with respect to the area. In order to prove our results, we introduce a particular class of subbodies, namely the sets with curvature measure.
AB - By means of balanced virtual powers, it is developed an axiomatic approach, in the spirit of Noll, to second-gradient continua. The measure-theoretical formulation allows a considerable simplification, since the existence of an edge stress density is regarded as a special case of a surface stress which is a singular measure with respect to the area. In order to prove our results, we introduce a particular class of subbodies, namely the sets with curvature measure.
KW - Calcolo delle variazioni
KW - Calculus of variations
KW - Continuum mechanics
KW - Meccanica dei continui
KW - Calcolo delle variazioni
KW - Calculus of variations
KW - Continuum mechanics
KW - Meccanica dei continui
UR - http://hdl.handle.net/10807/19588
UR - http://www.springerlink.com/content/1618-1891/
U2 - 10.1007/s10231-004-0129-1
DO - 10.1007/s10231-004-0129-1
M3 - Article
SN - 0373-3114
VL - 185
SP - 81
EP - 103
JO - Annali di Matematica Pura ed Applicata
JF - Annali di Matematica Pura ed Applicata
ER -