Coupled three-dimensional piezoelasticity solution for edge effects in Levy-type rectangular piezolaminated plates using mixed field extended Kantorovich method

Kumari, Poonam; Behera, Susanta; Kapuria, S.

doi:10.1016/j.compstruct.2015.12.029

Cited by 12 publications

(3 citation statements)

References 35 publications

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“…It should be emphasized that the current results are in good agreement with the 3‐D FE except near to the edge. This disagreement at the very clamped support is well‐reported and discussed in literatures [34–36, 45].…”

Section: Numerical Results and Discussionsupporting

confidence: 76%

“…It should be emphasized that the current results are in good agreement with the 3-D FE except near to the edge. This disagreement at the very clamped support is well-reported and discussed in literatures [34][35][36]45]. Sometimes, the axially graded panel with step-wise variation in the material properties is also used in the structural applications [46].…”

Section: F I G U R E 3 Meshed Panel Geometrymentioning

confidence: 73%

“…Earlier, most of the developed solutions were using the two-dimensional theories of elasticity but, later Kapuria and Kumari [34] extended it to develop the solutions based on three-dimensional elasticity. Further, a technique was applied to analyze the stress behavior of the piezoelectric plates [35] and functionally graded plates [36]. Singh et al [37] have presented an analytical solution for the bending analysis of axially functionally graded panels.…”

Section: Introductionmentioning

confidence: 99%

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2‐D Analytical solutions for the multisegmented panel subjected to arbitrary boundary condition

Kumar

Kumari

2022

Z Angew Math Mech

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A closed-form bending solution of the multisegmented panels is presented for different support conditions. The panels can have multiple no. of segments along the x-axis with varying material properties. The governing equations are formulated using the extended Kantorovich method (EKM) in the mixed-form, and a set of ordinary differential equations have been obtained. The continuity of displacement and stresses are satisfied at the interface of each segment. The panels can have simply-support, clamp, and free types of support conditions. The panel interface at each segment along the x-axis is assumed to be perfectly bonded. In this work, the stress and deformation variations for four types of panel configuration have been studied. Two segmented panels having aluminum and Graphite-Epoxy with equal and unequal segments are considered. A foursegmented Al/SiC panel having gradual material variation is also analyzed. The effect of ply-angles on the longitudinal variables is also studied for the equal segmented Al/GrEp panel. The deflection and stresses are compared with the finite element solution and found in good agreement with the EKM results. The current development will lead to developing the solution for stepped panels, dissimilar plates, and more complex cases used in aerospace applications.

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Section: Numerical Results and Discussionsupporting

confidence: 76%