TY - JOUR
T1 - The multiple nature of concentrated interactions in second-gradient dissipative liquids
AU - Giusteri, Giulio Giuseppe
PY - 2013
Y1 - 2013
N2 - It is well known that second-gradient continuum mechanical theories allow for the appearance of concentrated stresses along the edges of piecewise smooth material surfaces, but this is not the sole example of concentrated interaction. Two additional kinds of concentrated interaction are shown to take place in some second-gradient incompressible dissipative fluids: the adherence to one-dimensional immersed bodies and the capability of sustaining concentrated external body forces. These three phenomena turn out to be distinct and independent. This feature is explicitly discussed in two benchmark problems, and the different mathematical origins of each concentrated interaction are explained.
AB - It is well known that second-gradient continuum mechanical theories allow for the appearance of concentrated stresses along the edges of piecewise smooth material surfaces, but this is not the sole example of concentrated interaction. Two additional kinds of concentrated interaction are shown to take place in some second-gradient incompressible dissipative fluids: the adherence to one-dimensional immersed bodies and the capability of sustaining concentrated external body forces. These three phenomena turn out to be distinct and independent. This feature is explicitly discussed in two benchmark problems, and the different mathematical origins of each concentrated interaction are explained.
KW - Concentrated interaction – Second-gradient fluid – Edge force
KW - Concentrated interaction – Second-gradient fluid – Edge force
UR - http://hdl.handle.net/10807/31331
UR - http://dx.doi.org/10.1007/s00033-012-0229-5
U2 - 10.1007/s00033-012-0229-5
DO - 10.1007/s00033-012-0229-5
M3 - Article
SN - 0044-2275
VL - 64
SP - 371
EP - 380
JO - Zeitschrift fur Angewandte Mathematik und Physik
JF - Zeitschrift fur Angewandte Mathematik und Physik
ER -