Modelling of fibre-reinforced composites via fibre super-elements

Storm, Johannes; Ranjbarian, Majid; Mechtcherine, Viktor; Scheffler, Ch.; Kaliske, Michael

doi:10.1016/j.tafmec.2019.102294

Cited by 11 publications

(9 citation statements)

References 14 publications

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“…The super element method is a numerical simplification of the number of degrees of freedom of the full finite element model to improve computational efficiency. The essence of the modal reduction is based on the condensation of the structure matrices on the selected master of DOFs [27]. There has been a vast body of literature on condensation methods.…”

Section: Super-element Modelsmentioning

confidence: 99%

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Modal characterization of additively manufactured TPMS structures: comparison between different modeling methods

Şimşek

Akbulut

Gayir

et al. 2020

Int J Adv Manuf Technol

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The use of lattice structures has received increasing interest in various engineering applications owing to their high strength to weight ratio. Advances in additive manufacturing technologies enabled the manufacturing of highly complex lattice structures such as triply periodic minimal surface (TPMS) models in recent years. The application of simulation tools is expected to enhance the performance of these designs further. Therefore, it is vital to understand their accuracy and computational efficiency. In this paper, modal characterization of additively manufactured TPMS structures is studied using five different modeling methods for a beam, which is composed of primitive, diamond, IWP, and gyroid unit cells. These methods include (1) shell modeling, (2) solid modeling, (3) homogenization, (4) super-element modeling, and (5) voxelization. The modal characterization is performed by using modal analysis, and the aforementioned models are compared in terms of their computational efficiency and accuracy. The results are experimentally validated by performing an experimental modal testing on a test specimen, made of HS188, and manufactured by direct metal laser melting. Finally, the relationship between the modal characteristics and volume fraction is derived by carrying out a parametric study for all types of TMPS structures considered in this paper. The complex modal characteristics of different TPMS types suggest that they can be jointly used to meet the ever-challenging design requirements using the modeling guidelines proposed in this study.

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Section: Super-element Modelsmentioning

confidence: 99%

“…Even though the use of super-element modeling is common in the literature, the application of the method for modeling of TPMS cellular structures was not found. The reduction of computational effort can be achieved by using super elements which are suitable for periodic structures and linear problems [27].…”

Section: Introductionmentioning

confidence: 99%

Modal characterization of additively manufactured TPMS structures: comparison between different modeling methods

Şimşek

Akbulut

Gayir

et al. 2020

Int J Adv Manuf Technol

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“…Additionally, it could be shown that the doublesided, single-fibre pull-out behaviour enables the investigation of the mechanical behaviour and degradation mechanisms under alternating cyclic loading. The double-sided pullout test was numerically studied, applying the phase-field method for concrete fracture and the super-element for fibre deformation and fibre pull-out; compare Storm et al [42] and Figure 12. In a preliminary study, Ranjbarian and Mechtcherine [24] investigated the cyclic damage to PVA-fibres caused by alternating cyclic loading.…”

Section: Resultsmentioning

confidence: 99%

“…However, this approximation barely represents the degradation processes described at the concrete–fibre interface. Moderate computational effort is also achieved when the fibre and the concrete–fibre interface are modelled by a specialised element formulation, called the fibre super-element; compare Storm et al [ 42 ]. The super-elements are coupled to the concrete mesh through kinematic constraints, which avoid excessive refinement of the concrete mesh towards the fibres; see Figure 4 .…”

Section: Methodsmentioning

confidence: 99%

Increasing the Fatigue Resistance of Strain-Hardening Cement-Based Composites (SHCC) by Experimental-Virtual Multi-Scale Material Design

et al. 2021

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Strain-hardening cement-based composites are a promising class of materials for a wide variety of applications due to their considerable tensile strength and pronounced ductility caused by the development of multiple fine cracks. Nevertheless, the safe use of such composites requires sound knowledge of their mechanical behaviour under different types of loading, particularly under fatigue loading, while considering distinct influences like initial crack width and fibre orientation. To deepen this knowledge, single-fibre pull-out tests on PVA-fibres from a cementitious matrix were carried out to gain information about the micro-mechanical and degradation processes of the fibre. It could be shown that the fibres tend to rupture instead of being pulled out under quasi-static loading. When changing the loading regime to alternating loading, this failure mechanism shifts to pull-out. By varying the experimental parameters such as initial crack width, inclination angle or compressive-force level a clear influence on the fibre’s crack bridging capacity could be observed associated with effects on the degradation processes. Based on the data obtained, a micro-mechanical numerical model was developed to support the assumptions and observations from single-fibre pull-out tests and to enable predictions of the performance of the material on the microscale under cyclic loading.

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“…The particular challenge here is the formulation of suitable elements which can represent the large strains and displacements that occur during fibre pull-out. Detailed information on this can be found in the numerical considerations of Storm et al [20][21][22] based on the experimental work of Ranjbarian [8,9,12].…”

Section: Modelling Approachesmentioning

confidence: 99%

Rheological Model to Describe the Cyclic Load-Bearing Behaviour of Strain-Hardening Cement-Based Composites (SHCC)

2021

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The mechanical behaviour of strain-hardening cement-based composites (SHCC) under monotonic tensile loading has been the subject of research for many years. The recent research on the SHCC’s performance under cyclic loading has enabled the identification of a wide variety of damage phenomena different to those observed under monotonic loading. The article at hand first summarises the experimental evidence of such phenomena in the context of the material performance observed. On this basis, the mechanisms behind these phenomena are discussed and explained using rheological modelling.

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Modelling of fibre-reinforced composites via fibre super-elements

Cited by 11 publications

References 14 publications

Modal characterization of additively manufactured TPMS structures: comparison between different modeling methods

Modal characterization of additively manufactured TPMS structures: comparison between different modeling methods

Increasing the Fatigue Resistance of Strain-Hardening Cement-Based Composites (SHCC) by Experimental-Virtual Multi-Scale Material Design

Rheological Model to Describe the Cyclic Load-Bearing Behaviour of Strain-Hardening Cement-Based Composites (SHCC)

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