journal article·2009-08

An enhanced layerwise finite element using a robust solid-shell formulation approach

R. A. S. Moreira, R. J. Alves de Sousa, R. A. Fontes Valente

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Abstract

The application of layerwise theories to correctly model the displacement field of sandwich structures or laminates with high modulus ratios, usually employs plate or facet shell finite element formulations to compute the element stiffness and mass matrices for each layer. In this work, a different approach is proposed, using a high performance hexahedral finite element to represent the individual layer mass and stiffness. This 8-node hexahedral finite element is formulated based on the application of the enhanced assumed strain method (EAS) to resolve several locking pathologies coming from the high aspect ratios of the finite element and the usual incompressibility condition of the core materials. The solid-shell finite element formulation is introduced in the layerwise theory through the definition of a projection operator, which is based on the finite element variables transformation matrix. The new finite element is tested and the implemented numerical remedies are verified. The results for a soft core sandwich plate are hereby presented to demonstrate the proposed finite element applicability and robustness.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Structural Analysis and Optimization · Structural Analysis of Composite Materials

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References (19)

Show source-provided references
1. Jones DIG (2001) Handbook of viscoelastic vibration damping, John Wiley & Sons.
2. Johnson CD, Kienholz DA (1982) Finite element prediction of damping in structures with constrained viscoelastic layers. AIAA J 20:1284-129010.2514/3.51190 ↗
3. Killian JW, Lu YP (1984) A finite element modelling approximation for damping material used in constrained damped structures. J Sound Vib 97:352-35410.1016/0022-460X(84)90329-8 ↗
4. Moreira RAS, Rodrigues JD (2004) Constrained damping layer treatments: finite element modelling. J Vib Control 10:575-59510.1177/1077546304039060 ↗
5. Suzuki K, Kageyama K, Kimpara I, Hotta S, Ozawa T, Kabashima S, Ozaki T (2003) Vibration and damping prediction of laminates with constrained viscoelastic layers – numerical analysis by a multilayer higher-order-deformable finite element and experimental observations. Mech Adv Mat Struct 10:43–7510.1080/15376490306739 ↗
6. Moreira RAS, Rodrigues JD, Ferreira AJM (2006) A generalized layerwise finite element for multilayer damping treatments. Comp Mech, 37:426 444
7. Moreira RAS, Rodrigues JD (2006) A layerwise model for thin soft core sandwich plates. Computers and Structures, 84:1256-126310.1016/j.compstruc.2006.01.020 ↗
8. Moreira RAS, Rodrigues JD (2006) A plate finite element with through-thickness stiffness for sandwich structures modelling. COMPTEST2006, Portugal
9. Vu-Quoc L, Tan XG (2003) Optimal solid shells for non-linear analysis of multilayer composites. Part I: Statics, Comput. Meth. Appl. Mech. Eng. 192:975-101610.1016/S0045-7825(02)00435-8 ↗
10. Harnau M, Schweizerhof K (2006) Artificial kinematics and simple stabilization of solid-shell elements occurring in highly constrained situations and applications in composite sheet forming simulation, Finite Elem. Anal. Des. 42:1097-111110.1016/j.finel.2006.04.003 ↗
11. Dvorkin E, Bathe KJ (1984) A continuum mechanics based four-node shell element for general nonlinear analysis, Eng. Comput.1:77-8810.1108/eb023562 ↗
12. Simo JC, Rifai MS (1990) A class of mixed assumed strain methods and the method of incompatible modes, Int. J. Numer. Methods Eng. 29:1595-163810.1002/nme.1620290802 ↗
13. Buchter N, Ramm E, Roehl D (1994) Threedimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept, Int. J. Numer. Methods Eng. 37:2551-256810.1002/nme.1620371504 ↗
14. César de Sá JMA, Natal Jorge RM, Fontes Valente RA, Areias PMA (2002) Development of shear locking-free shell elements using an enhanced assumed strain formulation, Int. J. Numer. Methods Eng. 53:1721-175010.1002/nme.360 ↗
15. Fontes Valente RA, Natal Jorge RM, Cardoso RPR, César de Sá JMA, Grácio JJ (2003) On the use of an enhanced transverse shear strain shell element for problems involving large rotations, Comput. Mech. 30: 286-296
16. Fontes Valente RA, Parente MPL, Natal Jorge RM, César de Sá JMA, Grácio JJ (2005) Enhanced transverse shear strain shell formulation applied to large elasto-plastic deformation problems, Int. J. Numer. Methods Eng. 66:214-249
17. Alves de Sousa RJ, Natal Jorge RM, Fontes Valente RA, César de Sá JMA (2003) A new volumetric and shear locking-free 3D enhanced strain element, Eng. Comput. 20:896-92510.1108/02644400310502036 ↗
18. Fontes Valente RA, Alves de Sousa RJ, Natal Jorge RM (2004) An enhanced strain 3D element for large deformation elasto-plastic thin-shell applications, Comput. Mech. 34:38-52
19. MacNeal-Schwendler. MSC Nastran v4.5 Reference Manual, 2000.