Hybrid Finite Element Method for Stress Analysis of Laminated Composites

Hoa, Suong V.; Feng, Wei

doi:10.1007/978-1-4615-5733-3

Cited by 18 publications

(1 citation statement)

References 9 publications

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“…In the present model, the volume of the laminate is discretized by multilayer elements which the layer-wise plate theory is used to approximate the displacement of each node and each material layer [14]. Each node of the element has three degrees of freedom of displacement type.…”

Section: Discretizing Proceduressupporting

confidence: 40%

Buckling and Delamination Growth Analysis of Composite Laminates Containing Embedded Delaminations

2009

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The objective of this work is to study the post buckling behavior of composite laminates, containing embedded delamination, under uniaxial compression loading. For this purpose, delamination initiation and propagation is modeled using the softening behavior of interface elements. The full layer-wise plate theory is also employed for approximating the displacement field of laminates and the interface elements are considered as a numerical layer between any two adjacent layers which delamination is expected to propagate. A finite element program was developed and the geometric non-linearity in the von karman sense is incorporated to the strain/displacement relations, to obtain the buckling behavior. It will be shown that, the buckling load, delamination growth process and buckling mode of the composite plates depends on the size of delamination and stacking sequence of the laminates.

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Section: Discretizing Proceduressupporting

confidence: 40%

Buckling and Delamination Growth Analysis of Composite Laminates Containing Embedded Delaminations

2009

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A hierarchic 3D finite element for laminated composites

Kuhlmann

Rolfes

2004

Numerical Meth Engineering

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SUMMARYIn this paper a new 3D multilayer element is presented for analysis of thick-walled laminated composites. This element uses two steps to calculate the full stress tensor. In the first step the in-plane stresses are computed from the material law using a displacement approximation, and then the transverse stresses are calculated from the 3D equilibrium equations. Since the 3D equilibrium equations require high-order interpolation functions, a hierarchic interpolation of displacements is used. The new element is compared with existing ones, e.g. from MSC.MARC.

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Layerwise mixed element with sublaminates approximation and 3D zig‐zag field, for analysis of local effects in laminated and sandwich composites

Icardi

2006

Numerical Meth Engineering

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SUMMARYThe analysis of damaged sandwich composites and thick laminates remains a still challenging task, owing to their intricate distributions of displacements and stresses across the thickness. The arduous task is capturing these distributions with an affordable computational effort. The use of sublaminate zig-zag models appears promising since they allow to group several physical layers into a sublaminate without violating the continuity of interlaminar stresses. To contribute to research in this field, a mixed, sublaminate element is developed in which displacements and stresses are approximated by two independent zig-zag models. Like for any zig-zag model, the interfacial contact conditions are fulfilled a priori suitably choosing the continuity functions and constants. In addition to the contact conditions on interlaminar shears, here those on the transverse normal stress and stress gradient are also fulfilled, as required by the elasticity theory. This uncustomary feature implies the presence of unwise terms which need C 2 continuous shape functions. To overcome this drawback, C 1 and C 2 terms are eliminated from the displacement field, as allowed by the mixed approach, then the interlaminar stresses obtained by the C 0 -made displacement model are cast into a separate zig-zag representation which restores their continuity at the interfaces. As nodal d.o.f. the three displacements and the three interlaminar stresses at the upper and lower faces are assumed, in order to fulfil the contact conditions assembling the sublaminates. Standard, C 0 , serendipity interpolation polynomials are used to represent both internal displacements and stress fields. As a consequence of this choice, the intra-element stress equilibria are fulfilled in an approximate integral form. This makes easier the development of the element, but does not compromise its accuracy and convergence rate, as shown by former applications. A postprocessing procedure is developed which improves the estimation of interlaminar stresses and helps to reduce the number of sublaminates. The result is that the analysis can be carried out using a single computational layer across the thickness and a reasonably fine in-plane discretization, even with distinctly different material properties of layers and in presence of damage. The overall computational time is reduced to an half of that required by a conventional sublaminate model, like present one deprived of zig-zag terms and postprocessing procedure.

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Hybrid Finite Element Method for Stress Analysis of Laminated Composites

Cited by 18 publications

References 9 publications

Buckling and Delamination Growth Analysis of Composite Laminates Containing Embedded Delaminations

Buckling and Delamination Growth Analysis of Composite Laminates Containing Embedded Delaminations

A hierarchic 3D finite element for laminated composites

Layerwise mixed element with sublaminates approximation and 3D zig‐zag field, for analysis of local effects in laminated and sandwich composites

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