TY - CHAP
T1 - EFFECTIVE ELASTIC MODULUS OF NANO-PARTICLES
AU - Dingreville, R.
AU - Qu, J.
AU - Cherkaoui, M.
N1 - Publisher Copyright:
© 2006 Springer. Printed in the Netherlands.
PY - 2006
Y1 - 2006
N2 - Atoms at a free surface experience a different local environment than do atoms in the bulk of a material. As a result, the equilibrium position and energy of these atoms will, in general, be different from bulk positions and bulk energies. In traditional continuum mechanics, such interfacial free energy is typically neglected because it is associated with only a couple of layers of atoms near the surface, and the ratio of the volume occupied by the surface atoms and the total volume is extremely small. However, for nano-size particles, the surface to volume ratio becomes significant, so does the effects of surface free energy. In this paper, a framework is developed to incorporate the surface free energy into the continuum mechanics theory. Based on this approach, it is shown that the effective modulus of a particle does depend on the particle size. Although such size dependency is negligible for larger size particles, it becomes significant when the particle shrinks to nanometer size.
AB - Atoms at a free surface experience a different local environment than do atoms in the bulk of a material. As a result, the equilibrium position and energy of these atoms will, in general, be different from bulk positions and bulk energies. In traditional continuum mechanics, such interfacial free energy is typically neglected because it is associated with only a couple of layers of atoms near the surface, and the ratio of the volume occupied by the surface atoms and the total volume is extremely small. However, for nano-size particles, the surface to volume ratio becomes significant, so does the effects of surface free energy. In this paper, a framework is developed to incorporate the surface free energy into the continuum mechanics theory. Based on this approach, it is shown that the effective modulus of a particle does depend on the particle size. Although such size dependency is negligible for larger size particles, it becomes significant when the particle shrinks to nanometer size.
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U2 - 10.1007/978-1-4020-4946-0_24
DO - 10.1007/978-1-4020-4946-0_24
M3 - Chapter
AN - SCOPUS:85138261138
T3 - Solid Mechanics and its Applications
SP - 239
EP - 248
BT - Solid Mechanics and its Applications
ER -