Finite Element Modeling of Cellular Materials

Daxner, T.

doi:10.1007/978-3-7091-0297-8_2

Cited by 25 publications

(19 citation statements)

References 93 publications

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“…Finite element (FE) modelling methods are used to describe the mechanical behaviour and to predict the properties of cellular structures 18 , 41–44 …”

Section: Numerical Prediction Of Fracture Toughness For Cellular Matementioning

confidence: 99%

Fracture toughness of rigid polymeric foams: A review

Marșavina

Linul

2020

Fatigue Fract Eng Mat Struct

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Polymeric foams have good capacity of absorbing energy in compression but are brittle in tension. Linear elastic fracture mechanics is successfully applied to assess the integrity of polymeric foam-based composite structures. The fracture toughness represents an important parameter. The different approaches to estimate the fracture toughness of polymeric foams are reviewed: analytical and numerical micromechanical models and experimental investigations. Focus is given on the parameters influencing the fracture toughness of polymeric foams like specimen type, solid material, density, loading speed, size effect and temperature. Data on mixed-mode loading and dynamic fracture toughness are also presented. The last part of the paper presents some results to increase the fracture toughness by reinforcing of polymeric foams.

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“…Finite element (FE) modelling methods are used to describe the mechanical behaviour and to predict the properties of cellular structures 18 , 41–44 …”

Section: Numerical Prediction Of Fracture Toughness For Cellular Matementioning

confidence: 99%

Fracture toughness of rigid polymeric foams: A review

Marșavina

Linul

2020

Fatigue Fract Eng Mat Struct

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“…Dependent on the amount of matrix material, a closed cell foam can be divided into dry and wet foams. 30,36 In dry foams the amount of matrix material is low and the relative density approaches zero. 28 In these structures, most of the material is in the cell face 36 and the cell shape is a polyhedron.…”

Section: Cell Topology and Shapementioning

confidence: 99%

Overview and comparison of modelling methods for foams

Hössinger-Kalteis

Reiter

Jerabek

et al. 2020

Journal of Cellular Plastics

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Cellular materials, especially foams, are widely used in several applications because of their special mechanical, electrical and thermal properties. Their properties are determined by three factors: bulk material properties, cell topology and shape as well as relative density. The bulk material properties include the mechanical, thermal and electrical properties of the matrix. The cell topology determines if the foam exhibits stretch or bending dominated behaviour. The relative density corresponds to the foaming degree. It is defined by the cell edge length and cell wall thickness. Especially for the linear elastic properties there are many different modelling approaches. In general, these methods can be divided into two groups namely direct modelling, e.g. analytical and finite element models and constitutive modelling, e.g. models which are generated through homogenization methods. This paper presents an overview of the different modelling methods for foams. Furthermore, sensitivity studies are presented which enable the comparison of the models with regard to the estimation of the elastic properties, show the limits of those models and enable the investigation of the influence of the above mentioned factors on the elastic properties. Selected models are validated with experimental data of a low density foam regarding the Young’s modulus.

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“…They are computationally inexpensive and can be used to construct models with many cells [35]. The cell edges were discretized using the standard Timoshenko beam elements (element type 189 in ANSYS) that uses linear interpolation (two-node linear beam).…”

Section: Fe Modellingmentioning

confidence: 99%

Mechanical properties of additively manufactured octagonal honeycombs

Hedayati

Sadighi

Aghdam

et al. 2016

Materials Science and Engineering: C

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Honeycomb structures have found numerous applications as structural and biomedical materials due to their favourable properties such as low weight, high stiffness, and porosity. Application of additive manufacturing and 3D printing techniques allows for manufacturing of honeycombs with arbitrary shape and wall thickness, opening the way for optimizing the mechanical and physical properties for specific applications. In this study, the mechanical properties of honeycomb structures with a new geometry, called octagonal honeycomb, were investigated using analytical, numerical, and experimental approaches. An additive manufacturing technique, namely fused deposition modelling, was used to fabricate the honeycomb from polylactic acid (PLA). The honeycombs structures were then mechanically tested under compression and the mechanical properties of the structures were determined. In addition, the Euler-Bernoulli and Timoshenko beam theories were used for deriving analytical relationships for elastic modulus, yield stress, Poisson's ratio, and buckling stress of this new design of honeycomb structures. Finite element models were also created to analyse the mechanical behaviour of the honeycombs computationally. The analytical solutions obtained using Timoshenko beam theory were close to computational results in terms of elastic modulus, Poisson's ratio and yield stress, especially for relative densities smaller than 25%. The analytical solutions based on the Timoshenko analytical solution and the computational results were in good agreement with experimental observations. Finally, the elastic properties of the proposed honeycomb structure were compared to those of other honeycomb structures such as square, triangular, hexagonal, mixed, diamond, and Kagome. The octagonal honeycomb showed yield stress and elastic modulus values very close to those of regular hexagonal honeycombs and lower than the other considered honeycombs.

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Finite Element Modeling of Cellular Materials

Cited by 25 publications

References 93 publications

Fracture toughness of rigid polymeric foams: A review

Fracture toughness of rigid polymeric foams: A review

Overview and comparison of modelling methods for foams

Mechanical properties of additively manufactured octagonal honeycombs

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