Abstract
Finite element solutions based on the higher-order shear deformation theory are presented for the geometrical non-linear analysis of through-thickness functionally graded plates and shells. Natural co-ordinate-based higher-order transverse shear strains are used in present shell element. The fiber orientation of plates and shells is assumed to vary according to a sigmoid distribution in terms of the volume fractions of the constituents. The formulation of a non-linear 9-node Element-based Lagrangian shell element is presented and natural co-ordinate-based strains are used in present shell element. Using the assumed natural strain method the present shell element generates neither membrane nor shear locking behavior. Numerical results of the linear and non-linear analysis are presented to show the combined effect of the fiber orientation, loading conditions, aspect ratios and side-to-thickness ratios on the mechanical behaviors. Besides, a comparison of the non-linear results of isotropic and anisotropic functionally graded structures is investigated.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.