A solid‐shell transition element for geometrically non‐linear analysis of laminated composite structures

Liao, C.-L.; Reddy, J. N.; Engelstad, Stephen P.

doi:10.1002/nme.1620260811

Cited by 37 publications

(10 citation statements)

References 5 publications

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“…Figure 12 presents the dynamic responses in terms of central deflection of the plate obtained using the SHB elements and ABAQUS linear elements. Once again, excellent agreement with the reference solution taken from [19] is observed with the dynamic versions of the proposed SHB elements. The ABAQUS linear elements show good performance as well, except for the prismatic element C3D6, which requires finer meshes to provide accurate solution.…”

Section: Simply Supported Composite Platesupporting

confidence: 63%

Simulation of nonlinear benchmarks and sheet metal forming processes using linear and quadratic solid–shell elements combined with advanced anisotropic behavior models

2016

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Abstract.A family of prismatic and hexahedral solid-shell (SHB) elements with their linear and quadratic versions is presented in this paper to model thin 3D structures. Based on reduced integration and special treatments to eliminate locking effects and to control spurious zero-energy modes, the SHB solid-shell elements are capable of modeling most thin 3D structural problems with only a single element layer, while describing accurately the various throughthickness phenomena. In this paper, the SHB elements are combined with fully 3D behavior models, including orthotropic elastic behavior for composite materials and anisotropic plastic behavior for metallic materials, which allows describing the strain/stress state in the thickness direction, in contrast to traditional shell elements. All SHB elements are implemented into ABAQUS using both standard/quasi-static and explicit/dynamic solvers. Several benchmark tests have been conducted, in order to first assess the performance of the SHB elements in quasi-static and dynamic analyses. Then, deep drawing of a hemispherical cup is performed to demonstrate the capabilities of the SHB elements in handling various types of nonlinearities (large displacements and rotations, anisotropic plasticity, and contact). Compared to classical ABAQUS solid and shell elements, the results given by the SHB elements show good agreement with the reference solutions.

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Section: Simply Supported Composite Platesupporting

confidence: 63%

Simulation of nonlinear benchmarks and sheet metal forming processes using linear and quadratic solid–shell elements combined with advanced anisotropic behavior models

2016

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“…Furthermore, when both shell elements and solid elements are used in one FE model such as folded shell structures, * * additional transition elements (e.g. References [6,7]) or multipoint constraints (e.g. MPC in Reference [8]) are needed to connect rotational degrees of freedom (dofs) and displacement dofs.…”

Section: Introductionmentioning

confidence: 99%

Efficient and accurate multilayer solid-shell element: non-linear materials at finite strain

Tan

Vu‐Quoc

2005

Int. J. Numer. Meth. Engng

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SUMMARYWe present in this paper an efficient and accurate low-order solid-shell element formulation for analyses of large deformable multilayer shell structures with non-linear materials. The element has only displacement degrees of freedom (dofs), and an optimal number of enhancing assumed strain (EAS) parameters to pass the patch tests (both membrane and out-of-plane bending) and to remedy volumetric locking. Based on the mixed Fraeijs de Veubeke-Hu-Washizu (FHW) variational principle, the in-plane and out-of-plane bending behaviours are improved and the locking associated with (nearly) incompressible materials is avoided via a new efficient enhancement of strain tensor. Shear locking and curvature thickness locking are resolved effectively by using the assumed natural strain (ANS) method. Two non-linear 3-D constitutive models (Mooney-Rivlin material and hyperelastoplastic material at finite strain) are applied directly without requiring the enforcement of the plane-stress assumption. In particular, we give a simple derivation for the hyperelastoplastic model using spectral representations. In addition, the present element has a well-defined lumped mass matrix, and provides double-side contact surfaces for shell contact problems. With the dynamics referred to a fixed inertial frame, the present element can be used to analyse multilayer shell structures undergoing large overall motion. Numerical examples involving static analyses and implicit/explicit dynamic analyses of multilayer shell structures with both material and geometric non-linearities are presented, and compared with existing results obtained from other shell elements and from a meshless method. It is shown that elements that did not pass the out-of-plane bending patch test could not provide accurate results, as compared to the present element formulation, which passed the out-of-plane bending patch test. The present element proves to be versatile and efficient in the modelling and analyses of general non-linear composite multilayer shell structures.

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“…This approach parallels the development of thin structure theories, determining when and what kind of thin-structure approximation is necessary and giving a measure of the error introduced by the dimensional reduction. Work more directly analogous to the content in this paper is found in References [8][9][10], where coupling between a thin solid structure, such as a beam or plate, is made with the two-or three-dimensional elasticity equations. The most relevant work on uids was performed on falling liquid ÿlms [11].…”

Section: Introductionmentioning

confidence: 93%

Coupled lubrication and Stokes flow finite elements

Stay

Barocas

2003

Numerical Methods in Fluids

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SUMMARYA method is developed for performing a local reduction of the governing physics for uid problems with domains that contain a combination of narrow and non-narrow regions, and the computational accuracy and performance of the method are measured. In the narrow regions of the domain, where the uid is assumed to have no inertia and the domain height and curvature are assumed small, lubrication, or Reynolds, theory is used locally to reduce the two-dimensional Navier-Stokes equations to the one-dimensional Reynolds equation while retaining a high degree of accuracy in the overall solution. The Reynolds equation is coupled to the governing momentum and mass equations of the non-narrow region with boundary conditions on the mass and momentum ux. The localized reduction technique, termed 'stitching,' is demonstrated on Stokes ow for various geometries of the hydrodynamic journal bearing-a non-trivial test problem for which a known analytical solution is available. The computational advantage of the coupled Stokes-Reynolds method is illustrated on an industrially applicable fullyooded deformable-roll coating example. The examples in this paper are limited to two-dimensional Stokes ow, but extension to three-dimensional and Navier-Stokes ow is possible.

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A solid‐shell transition element for geometrically non‐linear analysis of laminated composite structures

Cited by 37 publications

References 5 publications

Simulation of nonlinear benchmarks and sheet metal forming processes using linear and quadratic solid–shell elements combined with advanced anisotropic behavior models

Simulation of nonlinear benchmarks and sheet metal forming processes using linear and quadratic solid–shell elements combined with advanced anisotropic behavior models

Efficient and accurate multilayer solid-shell element: non-linear materials at finite strain

Coupled lubrication and Stokes flow finite elements

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