Analysis of Micro Rotating Disk with Angular Acceleration Based on the Non-Classical Continuum Mechanics

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Bagheri, Emadoddin | 2018

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 51506 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Asghari, Mohsen
Abstract:
Incapability of the classical continuum mechanics theory to justify the experimental observations of the mechanical response of the small-scale structures and parts motivated the researchers to pursue the introduction and utilization of the non-classical continuum theories for analysis and design of such structures and parts. In this paper, utilizing the modified couple stress theory and the strain gradient theory as well-known and powerful non-classical continuum theories, the mechanical response, including the displacement and stress fields, for micro-rotating disks with angular acceleration is investigated. The governing differential equations of motion and the corresponding boundary conditions are derived on the basis of the variational method. Then, analytical solutions for the governing equations are presented. In a numerical case study, the distribution of the classical and higher-order stress components and displacement components in micro-rotating disks is analytically investigated and the obtained results are compared with those of the classical continuum theory
Keywords:
Angular Acceleration ; Size Effect ; Modified Couple Stress Theory ; Strain Gradient Theory ; Rotating Disks ; Small Scales Effect ; Non-Classical Continum Mechanics Theories

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