Introducing a Set of Material Strain Measures in Non-Linear Kinematics of Micropolar Continuum Mechanics and Determining their Time Rates

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Ebrahimi, Mehran | 2011

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 42098 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Asghari, Mohsen
Abstract:
The concept of generalized strains is a well-established subject in the classical continuum mechanics. The characteristics and various applications of the generalized strains have been the point of interest of many researchers in the classical continuum mechanics. The aim of this thesis is the introduction of generalized strains in the micropolar theory, as a non-classical continuum theory. A set of generalized strains is suggested for the deformation of macro-elements. Moreover, a set of generalized strains is proposed for the micro-structures. Since the rate of strains possesses a significant importance in the constitutive equations of nonlinear analysis of solids, expressions for the rate of the generalized micropolar strains are also derived
Keywords:
Generalized Strain ; Micropolar Continuum Theory ; Tensor-Valued Function ; Tensor Function Rate

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