TY - JOUR
N2 - In a series of recent papers we have shown how the continuum mechanics can be extended to nano-scale by supplementing the equations of elasticity for the bulk material with the generalised Young-Laplace equations of surface elasticity. This review paper begins with the generalised Young-Laplace equations. It then generalises the classical Eshelby formalism to nano-inhomogeneities; the Eshelby tensor now depends on the size of the inhomogeneity and the location of the material point in it. The generalized Eshelby formalism for nano-inhomogeneities is then used to calculate the strain fields in quantum dot (QD) structures. This is followed by generalisation of the micro-mechanical framework for determining the effective elastic properties of heterogeneous solids containing nano-inhomogeneities. It is shown that the elastic constants of nanochannel-array materials with a large surface area can be made to exceed those of the non-porous matrices through pore surface modification or coating. Finally, the scaling laws governing the properties of nano-structured materials are given.
L1 - http://www.journals.pan.pl/Content/111479/PDF-MASTER/(55-2)133.pdf
L2 - http://www.journals.pan.pl/Content/111479
PY - 2007
IS - No 2
EP - 140
KW - surface/interface stress
KW - generalized Young-Laplace equation
KW - Eshelby formalism
KW - effective elastic constants
KW - size effect
KW - scaling laws
A1 - Wang, J.
A1 - Karihaloo, B.L.
A1 - Duan, H.L.
VL - vol. 55
DA - 2007
T1 - Nano-mechanics or how to extend continuum mechanics to nano-scale
SP - 133
UR - http://www.journals.pan.pl/dlibra/publication/edition/111479
T2 - Bulletin of the Polish Academy of Sciences Technical Sciences
ER -