Enhanced meshfree method with nodal integration for analysis of functionally graded material sandwich curved shells
Year: 2024
Type: article
Abstract: This paper presents a nodal integration technique, the sub-domain stabilized conforming integration (SSCI), for the meshfree radial point interpolation method (RPIM) applied to the static and modal analysis of functionally graded material (FGM) sandwich curved shells. FGM sandwich shells with different kinds of core and face sheets are considered in this work while the interested curved shell is formulated by the first-order shear deformation theory. The numerical integration technique to compute the stiffness and mass matrices in the equilibrium equation is the SSCI, which is a stabilized nodal integration with strain smoothing to preserve the accuracy and stability of the numerical results. The RPIM shape functions are utilized in this study for interpolating both the field variables and the geometry of the curved shell due to their ability to satisfy the Kronecker delta property, a rare advantage among meshfree methods. The static and modal analysis of different geometry curved shells with various sandwich FGMs are conducted. Through several numerical examples, the accuracy and efficiency of the SSCI technique in the meshfree RPIM are demonstrated and discussed. • The SSCI technique is incorporated into the RPIM. • The FGMs sandwich curved shell is investigated by using the meshfree method. • The SSCI formulation is expressed for curved shell structures. • Explicit formulation for elasticity tensor in curvilinear coordinate. • High accuracy and computational efficiency are observed.
Source: Forces in Mechanics
Language: English
Subfield: Mechanics of Materials
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,800
Award: G8802326609
OpenAlex ID: W4403683588