研究目的
Investigating the wave propagation of porous nanoshells using size-dependent continuum theories.
研究成果
The size-dependent wave propagation in P-FGM nanoshells is effectively modeled using B-H NSGT and HSDT. Key findings include: the hygrothermal environment decreases phase velocity, porosity effects depend on power-law index, small-scale parameters influence results based on wave number, and geometry has minimal impact on trends, suggesting simpler structures can be used for size-dependent studies.
研究不足
The study is theoretical and lacks experimental validation. It assumes specific material models and boundary conditions, and the analysis is limited to linear elastic behavior under hygrothermal effects. The model may not capture all real-world complexities such as nonlinearities or defects.
1：Experimental Design and Method Selection:
The study employs the Bi-Helmholtz non-local strain gradient theory (B-H NSGT) combined with a higher-order shear deformation shell theory (HSDT) including stretching effects to model wave propagation in porous functionally graded material (P-FGM) nanoshells under hygrothermal conditions. A variational approach (Hamilton's principle) is used to derive governing equations, solved analytically for wave frequencies and phase velocities.
2：Sample Selection and Data Sources:
The nanoshells are modeled as doubly-curved structures with specific material properties (e.g., Aluminum and Alumina) and porosity distributions. No experimental data is used; the study is theoretical and numerical.
3：List of Experimental Equipment and Materials:
No specific equipment or materials are mentioned; the work is computational.
4：Experimental Procedures and Operational Workflow:
The methodology involves deriving equations of motion, applying boundary conditions for bulk waves, and solving using harmonic methods. Parameters like porosity volume fraction, non-local parameters, strain gradient length scales, temperature, and humidity are varied.
5：Data Analysis Methods:
Analytical solutions are used to compute wave frequencies and phase velocities. Results are compared with existing theories (e.g., CET, NET, SGT, NSGT) for validation.
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