Delamination growth analysis in laminated structures with continuum-based 3D-shell elements and a viscoplastic softening model

Sprenger, W. O.; Gruttmann, Friedrich; Wagner, Werner

doi:10.1016/s0045-7825(99)00255-8

Cited by 47 publications

(27 citation statements)

References 19 publications

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“…, u 3 = 0.0 (37) are applied to the exterior nodes of the shell to obtain constant normal stress in x and y direction along with a constant shear stress in plane. A numerical solution of the problem with the present element formulation leads to constant values for the independent stress field S 11 = 1333 , S 22 = 1333 , S 12 = 400 .…”

Section: Membrane Patch Testsmentioning

confidence: 99%

“…Furthermore the interlaminar stresses in composites play an important role for the delamination analysis, see e.g. [37]. It is therefore worthwhile to develop shell elements using 3D material laws, in which this paper is a contribution to analyze thin shell structures with a surface oriented low order hexahedral solid shell element incorporating 3D material models.…”

Section: Introductionmentioning

confidence: 99%

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A robust non-linear solid shell element based on a mixed variational formulation

Klinkel

Gruttmann

Wagner

2006

Computer Methods in Applied Mechanics and Engineering

152

151

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The paper is concerned with a geometrically non-linear solid shell finite element formulation, which is based on the Hu-Washizu variational principle. For the approximation of the independent displacement, stress and strain fields, the strain field is additively decomposed into two parts. Due to the fact that one part of the strain field is interpolated in the same manner as proposed by the enhanced assumed strain (EAS) method, it is denoted as EAS field. The other strain field is approximated with the same interpolation functions as the stress field. In contrast to the EAS concept the approximation spaces of the stresses and the enhanced assumed strains are not orthogonal. Consequently the stress field is not eliminated from the finite element equations. For the displacements tri-linear shape functions are considered. Shear locking and curvature thickness locking are treated using assumed natural strain interpolations. A static condensation leads to a simple low order hexahedral solid shell element. Numerical tests show that the present model is very robust and allows larger load steps than an EAS solid shell element.

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Section: Membrane Patch Testsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A robust non-linear solid shell element based on a mixed variational formulation

Klinkel

Gruttmann

Wagner

2006

Computer Methods in Applied Mechanics and Engineering

152

151

View full text Add to dashboard Cite

show abstract

“…In general, numerical models of delamination can be divided according to the research purpose. Models based on specific criteria, such as Hashin's failure criteria [34] or critical energy release rates [35], can be used to determine where and when delamination occurs, as well as how it propagates [36,37]. The second group of numerical models focuses on the impact of delamination on the dynamic behaviour of the objects under investigation.…”

Section: Numerical Modelmentioning

confidence: 99%

Detection of Delamination in Laminate Wind Turbine Blades Using One‐Dimensional Wavelet Analysis of Modal Responses

Doliński

Krawczuk

Żak

2018

Shock and Vibration

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This paper demonstrates the effectiveness of a nondestructive diagnostic technique used to determine the location and size of delamination in laminated coatings of wind turbine blades. This is realized based on results of numerical and experimental investigations obtained by the use of the finite element method (FEM) and laser scanning vibrometry (LSV). The proposed method is based on the one-dimensional continuous wavelet transform of vibration parameters of a wind turbine blade. The investigations were conducted for a 1 : 10 scaled-down blade of a 36 m rotor wind turbine. Glass fibres and epoxy resin were used as laminate components. For numerical studies, a simple delamination model was proposed. The results obtained by the authors were used to determine the optimal set of parameters of the continuous wavelet transform. The application of high-quality LSV for experimental measurements allowed determining the optimal conditions of measuring procedures. At the same time the capabilities and limitations, resulting from the nature of the measurement method, were identified. In order to maximize the effectiveness of the detection method, preliminary signal processing was performed. Beside base wavelets also different waveform families were tested. The results obtained by the authors showed that it is possible to identify and localize even relatively small damage.

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“…In earlier simulations of interlaminar cracks, continuum elasticity [45][46][47], interface elements [48], and contact-based finite/discrete element methodology [49,50] were used to analyze partially delaminated layered composites. Later, Sukumar et al [51] developed partition of unity-based enrichment techniques for bimaterial interface cracks between two isotropic media, while Hettich and Ramm [52] studied the Interface material failure and Remmers et al [53] presented a partition of unity finite element based on a solid-like shell element for simulation of delamination growth in thin-layered structures.…”

Section: Introductionmentioning

confidence: 99%

Delamination analysis of composites by new orthotropic bimaterial extended finite element method

Ashari

Mohammadi

2011

Numerical Meth Engineering

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SUMMARYThe extended finite element method (XFEM) is further improved for fracture analysis of composite laminates containing interlaminar delaminations. New set of bimaterial orthotropic enrichment functions are developed and utilized in XFEM analysis of linear-elastic fracture mechanics of layered composites. Interlaminar crack-tip enrichment functions are derived from analytical asymptotic displacement fields around a traction-free interfacial crack. Also, heaviside and weak discontinuity enrichment functions are utilized in modeling discontinuous fields across interface cracks and bimaterial weak discontinuities, respectively. In this procedure, elements containing a crack-tip or strong/weak discontinuities are not required to conform to those geometries. In addition, the same mesh can be used to analyze different interlaminar cracks or delamination propagation. The domain interaction integral approach is also adopted in order to numerically evaluate the mixed-mode stress intensity factors. A number of benchmark tests are simulated to assess the performance of the proposed approach and the results are compared with available reference results.

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Delamination growth analysis in laminated structures with continuum-based 3D-shell elements and a viscoplastic softening model

Cited by 47 publications

References 19 publications

A robust non-linear solid shell element based on a mixed variational formulation

A robust non-linear solid shell element based on a mixed variational formulation

Detection of Delamination in Laminate Wind Turbine Blades Using One‐Dimensional Wavelet Analysis of Modal Responses

Delamination analysis of composites by new orthotropic bimaterial extended finite element method

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