Morphological instability of a whisker

Kirill, Dimitri Jay; Davis, Stephen H.; Miksis, Michael J.; Voorhees, Peter W.

doi:10.1098/rspa.1999.0479

Cited by 29 publications

(32 citation statements)

References 11 publications

(18 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Introducing axial and radial sinusoidal fluctuations onto the surface of the cylinder, the conditions of its stability have been characterized (Suo and Wang, 1994;Colin et al, 1997;Wang and Suo, 1997). The case of non-axi-symmetric instability has been also recently investigated (Kirill et al, 1999;Kirill et al, 2002). The analytical study of the linear stability of the surface of solids has been completed by numerical simulations of the evolution of the roughness in the non-linear regime in the case of planar and axi-symmetrical geometries (Chiu and Gao, 1993;Yang and Srolovitz, 1993;Kassner and Misbah, 1994;Spencer and Meiron, 1994;Suo and Wang, 1994;Wang and Suo, 1997).…”

Section: Introductionmentioning

confidence: 98%

Morphological instability of two stressed spherical shells

Colin

2007

International Journal of Solids and Structures

View full text Add to dashboard Cite

The morphological stability of the external free surface of a composite structure made of two shells stressed through the interface has been investigated when mass rearrangement along the surface is controlled by surface diffusion. Due to epitaxy or thermal change, an eigenstrain located in the inner shell is considered. The resulting stress and strain tensors have been first calculated assuming that the interface between the two initially spherical shells is coherent. The roughness appearing by surface diffusion on the external surface of the structure has been then developed on a basis of complete spherical harmonics and the linear stability of the surface has been investigated with respect to each harmonic Y m l ðh; uÞ. The growth rate of the lth order harmonic has been determined and the influence of the geometric and physical parameters such as the radius of the interface, the radii of the free surfaces, the intrinsic deformation or the surface energy has been characterized. The case of a spherical solid embedded in a finite-size matrix has been also discussed.

show abstract

Section: Introductionmentioning

confidence: 98%

Morphological instability of two stressed spherical shells

Colin

2007

International Journal of Solids and Structures

View full text Add to dashboard Cite

show abstract

“…Instead of assuming unidirectional stress along the centerline of the wire [27,28], the misfit at the interface will be properly accounted. Furthermore, nonradially symmetric modulations will also be taken into account, which is necessary as the presence of islands usually breaks axial symmetry [29].…”

Section: Roughening Of Core-shell Heterostructure Nanowiresmentioning

confidence: 99%

Accommodation of Lattice Misfit in Semiconductor Heterostructure Nanowires

Schmidt¹,

Wittemann²

2011

Mechanical Stress on the Nanoscale

View full text Add to dashboard Cite

“…Asaro and Tiller (1972) studied the morphological evolution of a planar semi-infinite solid subjected to a non-hydrostatic stress. Later, many researchers analyzed the morphological evolution of solids with different geometrical configurations, e.g., thin films subjected to diffusion, elastic stress and electric fields (Spencer et al, 1991;Grilhe´, 1993;Yang et al, 1994;Xia et al, 1997;Kirill et al, 1999;Zhang et al, 1999). In these analyses, the chemical potential gradient driving the mass transport processes was assumed to arise from the stress variation along the surface and surface curvature.…”

Section: Introductionmentioning

confidence: 99%