A closed-form solution for multilayer structures with initial strains under generalized plane str... more A closed-form solution for multilayer structures with initial strains under generalized plane strain conditions is presented. Such solutions can be useful for estimating the curvature radius and strains or stresses for self-positioning micro- and nanostructures with lattice mismatched layers. Comparison with finite element results shows that the developed solution predicts reasonable values of the curvature radius at the central part of the structure. Strains provided by the generalized plane strain solution are in agreement with those obtained by finite element analysis.
The generalized plane strain solution for anisotropic multilayer nanostructures with cubic crysta... more The generalized plane strain solution for anisotropic multilayer nanostructures with cubic crystal symmetry under the influence of initial strains has been derived. This solution can be used to estimate equilibrium curvature radius and strains/stresses of rolled-up anisotropic multilayer nanostructures, whose deformations are induced by crystal lattice mismatch. The solution has been applied for calculation of curvature radii and strain components of a bilayer In0.2Ga0.8As/GaAs rolled-up nanostructure. The results are in agreement with those obtained by a finite element analysis.
A closed-form solution for multilayer structures with initial strains under generalized plane str... more A closed-form solution for multilayer structures with initial strains under generalized plane strain conditions is presented. Such solutions can be useful for estimating the curvature radius and strains or stresses for self-positioning micro- and nanostructures with lattice mismatched layers. Comparison with finite element results shows that the developed solution predicts reasonable values of the curvature radius at the central part of the structure. Strains provided by the generalized plane strain solution are in agreement with those obtained by finite element analysis.
The generalized plane strain solution for anisotropic multilayer nanostructures with cubic crysta... more The generalized plane strain solution for anisotropic multilayer nanostructures with cubic crystal symmetry under the influence of initial strains has been derived. This solution can be used to estimate equilibrium curvature radius and strains/stresses of rolled-up anisotropic multilayer nanostructures, whose deformations are induced by crystal lattice mismatch. The solution has been applied for calculation of curvature radii and strain components of a bilayer In0.2Ga0.8As/GaAs rolled-up nanostructure. The results are in agreement with those obtained by a finite element analysis.
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Papers by Yohei Nishidate