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Stress analysis of sandwich plates with functionally graded cores using peridynamic differential operator and refined zigzag theory
Abstract This study presents a novel non-local model for the stress analysis of sandwich plates with a functionally graded core using Peridynamic Differential Operator (PDDO) and Refined Zigzag Theory (RZT). The through-thickness material properties of the functionally graded cores were tailored by means of mixing rules. The PDDO converts the equilibrium equations of the RZT from the differential form into the integral form. This makes the PDDO capable of solving the local differential equations accurately. The RZT is very suitable for the stress analysis, especially for thick and moderately thick plates. It contains only seven kinematic variables and eliminates the use of the shear correction factors. A typical sandwich structure consists of a soft core and stiff orthotropic face-sheets. The mismatch of the stiffness at the core and face sheet interfaces results in an increase in the interfacial shear stresses, leading to the core-face sheet delamination. The interfacial stresses can be mitigated by functionally grading the material properties of the core through the thickness. The PD-RZT stress and displacement predictions were compared with the analytical solutions by using the uniform and non-uniform mesh discretizations and good agreements were achieved. It was observed that the functionally graded cores offered some advantages with respect to the classical cores and minimized the stress concentrations at the interface of the core and the face sheets.
Highlights A new nonlocal model is presented for the stress analysis of sandwich plates embedding functionally graded (FG) core. Peridynamic Differential Operator (PDDO) is used to solve the equilibrium equations of the Refined Zigzag Theory (RZT). The PDDO can determine any arbitrary order of derivatives accurately regardless of the presence of jump discontinuities or singularities. The PDDO is free of the requirement of symmetric kernels, eliminating the necessity of ghost particles near the boundaries. RZT contains only seven kinematic variables and eliminates the use of the shear correction factors.
Stress analysis of sandwich plates with functionally graded cores using peridynamic differential operator and refined zigzag theory
Abstract This study presents a novel non-local model for the stress analysis of sandwich plates with a functionally graded core using Peridynamic Differential Operator (PDDO) and Refined Zigzag Theory (RZT). The through-thickness material properties of the functionally graded cores were tailored by means of mixing rules. The PDDO converts the equilibrium equations of the RZT from the differential form into the integral form. This makes the PDDO capable of solving the local differential equations accurately. The RZT is very suitable for the stress analysis, especially for thick and moderately thick plates. It contains only seven kinematic variables and eliminates the use of the shear correction factors. A typical sandwich structure consists of a soft core and stiff orthotropic face-sheets. The mismatch of the stiffness at the core and face sheet interfaces results in an increase in the interfacial shear stresses, leading to the core-face sheet delamination. The interfacial stresses can be mitigated by functionally grading the material properties of the core through the thickness. The PD-RZT stress and displacement predictions were compared with the analytical solutions by using the uniform and non-uniform mesh discretizations and good agreements were achieved. It was observed that the functionally graded cores offered some advantages with respect to the classical cores and minimized the stress concentrations at the interface of the core and the face sheets.
Highlights A new nonlocal model is presented for the stress analysis of sandwich plates embedding functionally graded (FG) core. Peridynamic Differential Operator (PDDO) is used to solve the equilibrium equations of the Refined Zigzag Theory (RZT). The PDDO can determine any arbitrary order of derivatives accurately regardless of the presence of jump discontinuities or singularities. The PDDO is free of the requirement of symmetric kernels, eliminating the necessity of ghost particles near the boundaries. RZT contains only seven kinematic variables and eliminates the use of the shear correction factors.
Stress analysis of sandwich plates with functionally graded cores using peridynamic differential operator and refined zigzag theory
Dorduncu, Mehmet (author)
Thin-Walled Structures ; 146
2019-10-17
Article (Journal)
Electronic Resource
English
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