Introduction to the Theory of Thin Shells

Saada, Adel S.

doi:10.1016/b978-0-08-017053-4.50023-8

Cited by 38 publications

(52 citation statements)

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“…These materials can exhibit very large lateral strains of the order of 10 -215%. It should be noted that when dealing with strain levels of this order that the engineering strain approximation (S = ∆l/l) is no longer valid approximation to the Lagrangian/Eulerian strain [Saada, 1974] and one should use ∆l/(l+∆l) as was noted by Kornbluh and Pelrine [2001]. It should be kept in mind that due to the coupling between the longitudinal and transverse strains that an area correction is required to determine the proper dielectric response since the capacitance is dependent on the area of the film.…”

Section: Figurementioning

confidence: 99%

Characterization of the electromechanical properties of EAP materials

2001

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Electroactive polymers (EAP) are an emerging class of actuation materials. Their large electrically induced strains (longitudinal or bending), low density, mechanical flexibility, and ease of processing offer advantages over traditional electroactive materials. However, before the benefits of these materials can be exploited, their electrical and mechanical behavior must be properly quantified. Two general types of EAP can be identified. The first class is ionic EAP, which requires relatively low voltages (<10V) to achieve large bending deflections. This class usually needs to be hydrated and electrochemical reactions may occur. The second class is Electronic-EAP and it involves piezoelectric, electrostrictive and/or Maxwell stresses. These materials can require large electric fields (>100MV/m) to achieve longitudinal deformations at the range from 4 -360%. Some of the difficulties in characterizing EAP include: nonlinear properties, large compliance (large mismatch with metal electrodes), nonhomogeneity (resulting from processing) and hysteresis. To support the need for reliable data, the authors are developing characterization techniques to quantify the electroactive responses and material properties of EAP materials. The emphasis of the current study is on addressing electromechanical issues related to the ion-exchange type EAP also known as IPMC. The analysis, experiments and test results are discussed in this paper.

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Section: Figurementioning

confidence: 99%

Characterization of the electromechanical properties of EAP materials

2001

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“…The third assumption translates to neglecting transverse shear. Love extended Kirchhoff's methods and assumptions to thin shells under small deflections (20). Though these Kirchhoff-Love, or classical, theories are limited to isotropic shells and plates under small deflections, the theories are applicable for many problems and they set the precedent for using the shell's middle surface as a computational datum surface.…”

Section: List Of Tablesmentioning

confidence: 99%

“…In essence, the stiffness of the structure changes not because the material becomes plastic but because the shape of the structure changes radically. To A two-dimensional (2-D) theory to describe the three dimensional (3-D) behavior of thin plates with small deflections was developed by Kirchhoff (20). Kirchhoff assumed that the middle plane remains unstrained, normal strains were small enough to be neglected, and that planes normal to the mid-plane before bending remain normal and unwarped after bending.…”

Section: List Of Tablesmentioning

confidence: 99%

Nonlinear large displacement and moderate rotational characteristics of composite beams incorporating transverse shear strain

Creaghan

Palazotto

1994

Computers & Structures

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“…where: E1 [MPa] is bending modulus of faces, and JR [mm 4 ] is quadratic moment of area of reduced cross-section [18], see Fig. 2.…”

Section: Bending Stiffness Of Sandwich Structure -Effective Elastic Mmentioning

confidence: 99%

On Flexural Stiffness of Polymer Sandwich Walls

Šuba

Fojtl

Sýkorová

et al. 2016

MSF

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Abstract. This paper deals with the flexural stiffness of sandwich structures based on fiberglass and polymeric foams. The influence of geometrical and material parameters on the resulting effective flexural stiffness of the sandwich structure is being studied experimentally, analytically and using FEM models. The effective elasticity module of the sandwich-structured element is being studied and it's theoretical and model dependencies on the stiffness of the foam core are being investigated. These dependencies are then compared with experimentally observed values. This study shows it is necessary to pay special attention to the issue of flexural stiffness of walls when designing sandwich shell products in order to prevent possible failures in the practical applications of these types of structures.

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Introduction to the Theory of Thin Shells

Cited by 38 publications

References 0 publications

Characterization of the electromechanical properties of EAP materials

Characterization of the electromechanical properties of EAP materials

Nonlinear large displacement and moderate rotational characteristics of composite beams incorporating transverse shear strain

On Flexural Stiffness of Polymer Sandwich Walls

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