Nonlinear flexural analysis of single/doubly curved smart composite shell panels integrated with PFRC actuator

Singh, Vijay Kumar; Mahapatra, Trupti Ranjan; Panda, Sidhartha

doi:10.1016/j.euromechsol.2016.08.006

Cited by 36 publications

(15 citation statements)

References 30 publications

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“…Since the computation of the geometrical entities introduced in Section 1 involves a lot of machinery, we just limit ourselves to displaying the figures describing the evolution of the displacement magnitude over the middle surface under consideration. For performing the numerical experiments, we used the following parameters: (1 2 + γ) 2…”

Section: Final Remarks: Numerical Experiments For the Elliptic Membramentioning

confidence: 99%

Numerical simulations for the dynamics of flexural shells

Shen

Piersanti

2020

Mathematics and Mechanics of Solids

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In this paper, we study a model describing the displacement of a linearly elastic flexural shell subjected to given dynamic loads from the computational point of view. The model under consideration takes the form of a set of hyperbolic variational equations posed over the space of admissible linearised inextensional displacements, and a set of initial conditions. Since the original model is not suitable for the implementation of a finite element method, we conduct the experiments on the corresponding penalised model. It was recently shown that the solution to such a penalised model is a good approximation of the solution to the original model. Numerical tests are therefore conducted on the the penalised model; the approximation of the solution to the penalised model is obtained via Newmark’s scheme, which is then implemented and tested for shells having the following middle surfaces: a portion of a cylinder and a portion of a cone. For the sake of completeness, we also present the results of the numerical tests related to a model describing the displacement of a linearly elastic elliptic membrane shell under the action of given dynamic loads.

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Section: Final Remarks: Numerical Experiments For the Elliptic Membramentioning

confidence: 99%

Numerical simulations for the dynamics of flexural shells

Shen

Piersanti

2020

Mathematics and Mechanics of Solids

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“…Flexural shells are widely used in many applicative fields such as physics, engineering and material science. Some remarkable applications involving the usage of such shells are: reinforced oil palm shell and palm oil clinker concrete (PSCC) beam [1], smart composite shell panels [2], functionally graded spherical shell panel [3], anisogrid lattice conical shells [4], and reinforced Eco-friendly coconut shell concrete [5]. Because of its wide range of applications, the theory of flexural shells is one of the most important branches in Mathematical Elasticity.…”

Section: Introductionmentioning

confidence: 99%

An existence and uniqueness theorem for the dynamics of flexural shells

Piersanti

2019

Mathematics and Mechanics of Solids

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In this paper, we define, a priori, a natural two-dimensional model for a time-dependent flexural shell. As expected, this model takes the form of a set of hyperbolic variational equations posed over the space of admissible linearized inextensional displacements, and a set of initial conditions. Using a classical argument, we prove that the model under consideration admits a unique strong solution. However, the latter strategy makes use of function spaces, which are not amenable for numerically approximating the solution. We thus provide an alternate formulation of the studied problem using a suitable penalty scheme, which is more suitable in the context of numerical approximations. For the sake of completeness, in the final part of the paper, we also provide an existence and uniqueness theorem for the case where the linearly elastic shell under consideration is an elliptic membrane shell.

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“…The general third-order Taylor-expansion of the in-surface displacement functions results in the following displacement field components [63]:…”

Section: Undelaminated Partmentioning

confidence: 99%

Higher-order semi-layerwise models for doubly curved delaminated composite shells

Szekrényes

2020

Arch Appl Mech

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This work deals w ith the development and extension of higher-order models for delaminated doubly curved composite shells with constant radii of curvatures. The mechanical model is based on the method of four equivalent single layers and the system of exact kinematic conditions. A remarkable addition of this work compared to some previous ones, is a modified and improved continuity condition between the delaminated and undelaminated parts of the shell. Using the principle of virtual work, the equilibrium equations of the shell systems are brought to the stage and solved by using the classical Lévy plate formulation under simply supported conditions. Four different scenarios of elliptic and hyperbolic delaminated shells are investigated providing the solutions for the mechanical fields as well as for the J-integral. The analytical results are compared to 3D finite element calculations, and excellent agreement was obtained for the displacement components and normal stresses. On the contrary, it was found that the transverse shear stresses are captured quite differently by the proposed method and the finite element models. Although the role of shear stresses should not be underrated, they seem to be marginal because the distributions of the J-integral components are in very good agreement with the numerically determined energy release rates.

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Nonlinear flexural analysis of single/doubly curved smart composite shell panels integrated with PFRC actuator

Cited by 36 publications

References 30 publications

Numerical simulations for the dynamics of flexural shells

Numerical simulations for the dynamics of flexural shells

An existence and uniqueness theorem for the dynamics of flexural shells

Higher-order semi-layerwise models for doubly curved delaminated composite shells

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