Analysis of anisotropic, stiffened composite laminates using a continuum-based shell element

Liao, C.-L.; Reddy, J. N.

doi:10.1016/0045-7949(90)90351-2

Cited by 56 publications

(23 citation statements)

References 14 publications

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“…The 3-D continuum element [13,14] is formulated using the 3-D field equations of elasticity, which has been resorted to improve the computational efficiency and to resolve the inaccurate evaluation of the interlaminar stresses occurred in the shell elements. The solidshell element was introduced based on the experience of the derivation of the 3-D continuum element.…”

Section: Introductionmentioning

confidence: 99%

Displacement and stress analysis of laminated composite plates using an eight-node quasi-conforming solid-shell element

Wang

Shi

Wang

2017

Curved and Layered Structures

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This paper presents the efficient modeling and analysis of laminated composite plates using an eightnode quasi-conforming solid-shell element, named as QCSS8. The present element QCSS8 is not only lockingfree, but highly computational efficiency as it possesses the explicit element stiffness matrix. All the six components of stresses can be evaluated directly by QCSS8 in terms of the 3-D constitutive equations and the appropriately assumed element strain field. Several typical numerical examples of laminated plates are solved to validate QCSS8, and the resulting values are compared with analytical solutions and the numerical results of solid/solidshell elements of commercial codes computed by the present authors in which fine meshes were used. The numerical results show that QCSS8 can give accurate displacements and stresses of laminated composite plates even with coarse meshes. Furthermore, QCSS8 yields also accurate transverse normal strain which is very important for the evaluation of interlaminar stresses in laminated plates. Since each lamina of laminated composite plates can be modeled naturally by one or a few layers of solidshell elements and a large aspect ratio of element edge to thickness is allowed in solid-shell elements, the present solid-shell element QCSS8 is extremely appropriate for the modeling of laminated composite plates.

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Section: Introductionmentioning

confidence: 99%

Displacement and stress analysis of laminated composite plates using an eight-node quasi-conforming solid-shell element

Wang

Shi

Wang

2017

Curved and Layered Structures

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“…The incremental equations of motion based on the principle of virtual displacements of a continuous medium are formulated using the total Lagrangson description by Liao and Reddy [14]. They developed a degenerate shell element with a degenerate curved beam element as a sti!ener for the geometric non-linear analysis of laminated, anisotropic, sti!ened shells.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration of a Laminated Circular Ring Segment

Kovács¹

2001

Journal of Sound and Vibration

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“…The three-dimensional nonlinear deformation and buckling of inhomogeneous shells were studied in a few publications [11,65,68,96].…”

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confidence: 99%

“…In the FEM, this approach involves creation of design models based on universal spatial finite elements (FEs) [20,29,48,52,65,66,68,72,89] for different structural elements of shells irrespective of the dimension of their stress-strain state (SSS), which greatly expands the range of solved problems, simplifies the numerical implementation of the method, refines the solutions for thin and nonthin shells with low shear stiffness in both prebuckling and postbuckling domains, and makes it possible to estimate errors and to identify the application domain of engineering theories of shells.…”

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confidence: 99%

Nonlinear deformation and buckling of elastic inhomogeneous shells under thermomechanical loads

Баженов

Solovei

2009

Int Appl Mech

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The paper outlines the fundamentals of the method of solving static problems of geometrically nonlinear deformation, buckling, and postbuckling behavior of thin thermoelastic inhomogeneous shells with complex-shaped midsurface, geometrical features throughout the thickness, or multilayer structure under complex thermomechanical loading. The method is based on the geometrically nonlinear equations of three-dimensional thermoelasticity and the moment finite-element scheme. The method is justified numerically. Results of practical importance are obtained in analyzing poorely studied classes of inhomogeneous shells. These results provide an insight into the nonlinear deformation and buckling of shells under various combinations of thermomechanical loads Keywords: thin thermoelastic inhomogeneous shell, geometrically nonlinear deformation, buckling, post-buckling behavior, thermomechanical loadingIntroduction. The modern trends in the development of structural engineering and the design of thin-walled shell structures call for refined numerical methods for the analysis of the nonlinear deformation and buckling of various shells.The nonlinear deformation, buckling, and postbuckling behavior of a wide class of thin elastic inhomogeneous shells were actively studied [5-18, 53, 54, 56, 61, 62, 82, 87-89, 91-98, 107] at the Scientific Research Institute of Structural Mechanics of the Kiev National University of Construction and Architecture using the three-dimensional geometrically nonlinear theory of thermoelasticity and the finite-element method (FEM). The present paper outlines a method for and results of solving static problems of nonlinear deformation and buckling of various shells subject to mechanical and thermal loads.Solving three-dimensional problems of nonlinear thermoelastic deformation of thin shells does not involve two-dimensional theories of plates and shells and one-dimensional theories of rods. The three-dimensional approach should be used to design thin shells because real shell structures are made inhomogeneous (constant or piecewise-varying thickness, knees, ribs, cover plates, holes, cavities, channels, facets, layers) to enhance reliability and reduce materials consumption. Thermal fields may cause substantial strains and affect the mode of and time to buckling. If the temperature is distributed nonuniformly, so will the material properties. It is difficult to choose a design model (or a combination of several models) to accurately describe portions of a structure with different geometrical and physical characteristics.The stability of shells is addresed in many studies [1, 2, 21, 24, 28, 30, 35, 38-41, 50, 57, 80, 101, 103], where various assumptions are made to simplify problem solving. This is because of the geometrically nonlinear problem formulation, different buckling models, dependence of the critical load on many design factors of shell systems, combined effect of thermal and mechanical loads, geometrical imperfections, load, boundary conditions, etc. A few studies are concerned with the the...

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Analysis of anisotropic, stiffened composite laminates using a continuum-based shell element

Cited by 56 publications

References 14 publications

Displacement and stress analysis of laminated composite plates using an eight-node quasi-conforming solid-shell element

Displacement and stress analysis of laminated composite plates using an eight-node quasi-conforming solid-shell element

Free Vibration of a Laminated Circular Ring Segment

Nonlinear deformation and buckling of elastic inhomogeneous shells under thermomechanical loads

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