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This paper proposed the complex variable meshless local Petrov–Galerkin (CVMLPG) method for the static analysis of functionally graded materials (FGMs). In the presented method, the complex variable moving least-square (CVMLS) approximation, which is established based on the moving least-square (MLS) approximation by introducing the complex variable theory, is adopted for construction of the field...
An augmented continuum theory, based on lattice dynamics theories, is developed to examine the elasticity of three-dimensional crystalline Si materials. The second-order elastic constants of Si can be expressed as the function of the force constants, with the modified Keating model. The phonon dispersion relations have been calculated by using the density functional perturbation (DFP) theory, from...
The traditional elastic theories based on the continuum assumptions may not be directly applicable for microsystems and nanosystems without any modification. In this paper, an augmented continuum theory, based on lattice dynamics theories, is developed to examine the elasticity of three-dimensional Si materials. The second-order elastic constants of Si can be expressed as the function of the force...
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