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Volume 2, Issue 1
Surface Diffusion on Stressed Solid Surface

X. Li & Q. Nie

Commun. Comput. Phys., 2 (2007), pp. 73-86.

Published online: 2007-02

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  • Abstract

The surface diffusion of an axi-symmetric solid, a whisker, subject to applied uniaxial stress, is studied numerically based on a new boundary integral formulation for periodic stress configurations. An efficient semi-implicit time-stepping scheme is developed to treat the serve stiffness due to high-order derivatives. When the initial perturbation is small the effect of the stress on the motion of the whisker is found to agree with the linear stability analysis. Numerical simulations of a fully nonlinear case are also presented, and a potential break-up of the whisker is observed.

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@Article{CiCP-2-73, author = {X. Li and Q. Nie}, title = {Surface Diffusion on Stressed Solid Surface}, journal = {Communications in Computational Physics}, year = {2007}, volume = {2}, number = {1}, pages = {73--86}, abstract = {

The surface diffusion of an axi-symmetric solid, a whisker, subject to applied uniaxial stress, is studied numerically based on a new boundary integral formulation for periodic stress configurations. An efficient semi-implicit time-stepping scheme is developed to treat the serve stiffness due to high-order derivatives. When the initial perturbation is small the effect of the stress on the motion of the whisker is found to agree with the linear stability analysis. Numerical simulations of a fully nonlinear case are also presented, and a potential break-up of the whisker is observed.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7896.html} }
TY - JOUR T1 - Surface Diffusion on Stressed Solid Surface AU - X. Li & Q. Nie JO - Communications in Computational Physics VL - 1 SP - 73 EP - 86 PY - 2007 DA - 2007/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7896.html KW - AB -

The surface diffusion of an axi-symmetric solid, a whisker, subject to applied uniaxial stress, is studied numerically based on a new boundary integral formulation for periodic stress configurations. An efficient semi-implicit time-stepping scheme is developed to treat the serve stiffness due to high-order derivatives. When the initial perturbation is small the effect of the stress on the motion of the whisker is found to agree with the linear stability analysis. Numerical simulations of a fully nonlinear case are also presented, and a potential break-up of the whisker is observed.

X. Li and Q. Nie. (2007). Surface Diffusion on Stressed Solid Surface. Communications in Computational Physics. 2 (1). 73-86. doi:
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