Three-Dimensional Modeling of Short Fiber-Reinforced Composites with Extended Finite-Element Method

Pike, Matthew G.; Oskay, Caglar

doi:10.1061/(asce)em.1943-7889.0001149

Cited by 18 publications

(8 citation statements)

References 66 publications

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“…In [32] the method is applied to reinforced concrete. It is also used in [58], where it is combined with a cohesive zone model. All these approaches have in common the lack of a scale transition.…”

Section: Introductionmentioning

confidence: 99%

A computational modeling approach based on random fields for short fiber-reinforced composites with experimental verification by nanoindentation and tensile tests

Rauter

2021

Comput Mech

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In this study a modeling approach for short fiber-reinforced composites is presented which allows one to consider information from the microstructure of the compound while modeling on the component level. The proposed technique is based on the determination of correlation functions by the moving window method. Using these correlation functions random fields are generated by the Karhunen–Loève expansion. Linear elastic numerical simulations are conducted on the mesoscale and component level based on the probabilistic characteristics of the microstructure derived from a two-dimensional micrograph. The experimental validation by nanoindentation on the mesoscale shows good conformity with the numerical simulations. For the numerical modeling on the component level the comparison of experimentally obtained Young’s modulus by tensile tests with numerical simulations indicate that the presented approach requires three-dimensional information of the probabilistic characteristics of the microstructure. Using this information not only the overall material properties are approximated sufficiently, but also the local distribution of the material properties shows the same trend as the results of conducted tensile tests.

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Section: Introductionmentioning

confidence: 99%

A computational modeling approach based on random fields for short fiber-reinforced composites with experimental verification by nanoindentation and tensile tests

Rauter

2021

Comput Mech

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“…The necessity of describing pre-and post-cracking behavior of fiber-reinforced materials has led to the development of several numerical techniques [4,6,14,22,45,46], referred to as discrete fiber models, that can represent each individual fiber within the composite volume in an explicit manner and at a significantly lower computational burden compared to classical FEM approaches. Discrete fiber models provide the possibility of directly modeling the local behavior of the fibers, including their rupture, and the effects of non uniformity of fiber distribution within the material volume.…”

Section: Introductionmentioning

confidence: 99%

A generalized finite element method for three-dimensional fractures in fiber-reinforced composites

2020

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This paper presents a methodology for the analysis of three-dimensional static fractures in fiberreinforced materials. Fibers are discretely modeled using a modification of the embedded reinforcement method with bond Slip (mERS) that allows its combination with a generalized finite element method (GFEM) for three-dimensional fractures. Since the GFEM mesh does not need to fit fracture surfaces or fibers, the GFEM-mERS can handle fibers bridging across crack faces at arbitrary angles. The method is verified against three-dimensional FEM solutions using conformal discretizations for crack surfaces and fiber boundaries. The comparison of the method against experimental data and convergence studies of the h-and p-version of the method is also presented.Keywords Finite element method (FEM ) Á Generalized finite element method (GFEM) Á Embedded reinforcement method with bond Slip (ERS) Á Fiber reinforced composites (FRC)In honor of Professor J.N. Reddy for his 75th Birthday.

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“…For example, in [13] the suitability of randomly generated characteristic volume elements using XFEM is analyzed to capture the local material response in concrete. XFEM is also used in [14] in combination with a cohesive zone model. In [15] micro-mechanical modeling of randomly oriented fiber polymer composites is presented.…”

Section: Introductionmentioning

confidence: 99%

Correlation structure in the elasticity tensor for short fiber-reinforced composites

Rauter,

Lammering

2020

Preprint

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The present work provides a profound analytical and numerical analysis of the material properties of SFRC on the mesoscale as well as the resulting correlation structure taking into account the probabilistic characteristics of the fiber geometry. This is done by calculating the engineering constants using the analytical framework given by Tandon and Weng as well as Halpin and Tsai. The input parameters like fiber length, diameter and orientation are chosen with respect to their probability density function. It is shown, that they are significantly influenced by the fiber length, the fiber orientation and the fiber volume fraction. The verification of the analytically obtained values is done on a numerical basis. Therefore, a two-dimensional microstructure is generated and transferred to a numerical model. The advantage of this procedure is, that there are several fibers with different geometrical properties placed in a preset area. The results of the numerical analysis meet the analytically obtained conclusions. Furthermore, the results of the numerical simulations are independent of the assumption of a plane strain and plane stress state, respectively. Finally, the correlation structure of the elasticity tensor is investigated. Not only the symmetry properties of the elasticity tensor characterize the correlation structure, but also the overall transversely-isotropic material behavior is confirmed. In contrast to the influencing parameters, the correlation functions vary for a plane strain and a plane stress state.

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Three-Dimensional Modeling of Short Fiber-Reinforced Composites with Extended Finite-Element Method

Cited by 18 publications

References 66 publications

A computational modeling approach based on random fields for short fiber-reinforced composites with experimental verification by nanoindentation and tensile tests

A computational modeling approach based on random fields for short fiber-reinforced composites with experimental verification by nanoindentation and tensile tests

A generalized finite element method for three-dimensional fractures in fiber-reinforced composites

Correlation structure in the elasticity tensor for short fiber-reinforced composites

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