Macro/Micro Elastic-Viscoplastic Analysis of Woven Composite Laminates with Misaligned Woven Fabrics

Matsuda, Takeshi; Kanamaru, Shinya; Honda, Naoya; Ohno, Nobutada

doi:10.1007/978-3-642-35167-9_23

Cited by 4 publications

(3 citation statements)

References 10 publications

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“…From this viewpoint, several related repots on the analysis considering stochastic homogenization or macroscopic stochastic analysis reflecting the stochastic homogenization problem have been reported, [11][12][13][14] while the reports on the stochastic multiscale stress analysis estimating probabilistic properties of the maximum stresses in microscale are limited. [15][16][17][18] From this reason, a statistical approach considering random parameters for estimating the probabilistic properties of maximum stresses should be established for the reliable design of composite structures.…”

Section: Introductionmentioning

confidence: 99%

Mesh superposition‐based multiscale stress analysis of composites using homogenization theory and re‐localization technique considering fiber location variation

Sakata

Tanimasu

2021

Numerical Meth Engineering

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In this article, the accuracy of multiscale stress analysis of heterogeneous materials (unidirectional fiber-reinforced composite) was improved by considering microscopic geometrical variation using the mesh superposition method. When analyzing the stress distribution in a composite with the finite element method considering the variation of the fiber location, updating the mesh significantly is necessary; however, generating an appropriate mesh for a large geometrical variation is difficult. Therefore, we focused on the mesh superposition method, which can easily generate a numerical FE model, even if the internal structure is complex, because the matrix and inclusion can be expressed by the global mesh and local mesh independently. However, in the original mesh superposition method, the analysis accuracy may be degraded owing to the mesh overlap conditions. Therefore, an improved method was applied to the homogenization theory-based analysis. In this article, the effectiveness of the proposed approach was discussed by comparing the numerical results of this method with those of conventional mesh superposition method and standard finite element method.From the numerical results, accuracy improvement by the proposed approach for the multiscale stochastic stress analysis is confirmed.

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Section: Introductionmentioning

confidence: 99%

Mesh superposition‐based multiscale stress analysis of composites using homogenization theory and re‐localization technique considering fiber location variation

Sakata

Tanimasu

2021

Numerical Meth Engineering

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“…11,12 As further realistic problems, Uetsuji et al reported statistical investigation of homogenized physical properties of polycrystalline multiferroic composites 13 and Matsuda el al reported multiscale analysis of woven composite laminates considering misaligned microstructure. 14 From the aspect of reliability evaluation to confirm the safety of composite structures, the estimation of apparent strength and its random variation will be more important than the homogenized properties. For this purpose, the microscopic stress analysis will be very important, because the microscopic stress distribution is generally nonuniform and a stress concentration will be observed in composite materials.…”

Section: Introductionmentioning

confidence: 99%

“…From the aspect of the random field modeling of heterogeneous materials, Stefanou et al reported a stochastic analysis based on the mesoscale random fields of material properties of microstructure with the extended finite element method (XFEM) and the Monte Carlo (MC) simulation . As further realistic problems, Uetsuji et al reported statistical investigation of homogenized physical properties of polycrystalline multiferroic composites and Matsuda el al reported multiscale analysis of woven composite laminates considering misaligned microstructure …”

Section: Introductionmentioning

confidence: 99%

On accuracy improvement of microscopic stress/stress sensitivity analysis with the mesh superposition method for heterogeneous materials considering geometrical variation of inclusions

Sakata

Chan

Arai

2019

Numerical Meth Engineering

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In this paper, a new method is proposed for improving accuracy of microscopic stress analysis/stress sensitivity analysis of heterogeneous materials considering a geometrical variation of inclusions using the mesh superposition method-based approach. In particular, the analysis, which considers a location variation of inclusions in heterogeneous materials with location change of a local mesh, is a target problem. This problem must be accurately solved for, eg, reliability evaluation with the multiscale stochastic stress analysis considering a microscopic geometrical variation of composites. The influence of a geometrical random variation of inclusions on the stress field is not negligible; further, a finite element mesh must be substantially updated for the evaluation of stress field for a significant realization. Therefore, the mesh superposition method based approach is adopted. In this paper, a problem point in the stress/stress sensitivity analysis considering the geometrical variation of inclusions when using the mesh superposition method is discussed, and improved approaches based on an improved formulation and a relocalization analysis are proposed. The proposed approaches are applied to a stress/stress sensitivity analysis of a heterogeneous material associated with a microstructure of composites. With the numerical results, effectiveness of the proposed approach is discussed.

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Entropy-damage mechanics for the failure investigation of plain weave fabric composites

Ghane

Mohammadi

2020

Composite Structures

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Macro/Micro Elastic-Viscoplastic Analysis of Woven Composite Laminates with Misaligned Woven Fabrics

Cited by 4 publications

References 10 publications

Mesh superposition‐based multiscale stress analysis of composites using homogenization theory and re‐localization technique considering fiber location variation

Mesh superposition‐based multiscale stress analysis of composites using homogenization theory and re‐localization technique considering fiber location variation

On accuracy improvement of microscopic stress/stress sensitivity analysis with the mesh superposition method for heterogeneous materials considering geometrical variation of inclusions

Entropy-damage mechanics for the failure investigation of plain weave fabric composites

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