1. First-order shear deformation theory for orthotropic doubly-curved shells based on a modified couple stress elasticity
- Author
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Michele Bacciocchi, Francesco Tornabene, Rossana Dimitri, Payam Mohammadi Dashtaki, Farajollah Zare Jouneghani, Zare Jouneghani, Farajollah, Mohammadi Dashtaki, Payam, Dimitri, Rossana, Bacciocchi, Michele, and Tornabene, Francesco
- Subjects
First-order Shear Deformation Theory ,Physics ,Length scale ,Curvilinear coordinates ,Differential equation ,Mathematical analysis ,Coordinate system ,Aerospace Engineering ,Orthotropic material ,02 engineering and technology ,Elasticity (physics) ,Doubly-curved shell ,021001 nanoscience & nanotechnology ,Curvature ,Curvilinear coordinate ,020303 mechanical engineering & transports ,0203 mechanical engineering ,New Modified Couple Stress Theory ,Boundary value problem ,0210 nano-technology - Abstract
This paper investigates the micro- and nano-mechanical behavior of orthotropic doubly-curved shells by considering the New Modified Couple Stress Theory (NMCST). The higher order continuum assumed by the NMCST includes three material length scale parameters in order to capture the size-effect of anisotropic and orthotropic materials. The governing equations of the problem are based on the First-order Shear Deformation Theory (FSDT). According to the proposed NMCST, the expressions of the physical components for the strain and curvature tensors are obtained in an orthogonal curvilinear coordinate system. Then, the governing differential equations and boundary conditions are derived by applying the energy method and Hamilton's principle. A comparative investigation between our numerical results and the ones available in the literature proves the capability of the proposed formulation in predicting the micro- and nano-mechanical behavior of orthotropic doubly-curved shells.
- Published
- 2018
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