Development of shape optimization technique using mesh superposition method

Sando, Atsushi; Suzuki, Katsuyuki; Ohtsubo, Hideomi

doi:10.2208/journalam.7.373

Cited by 1 publication

(1 citation statement)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been reported that in the mesh superposition method, the analytical results change significantly depending on the overlap of the global with local meshes 33 ; in contrast, it was confirmed in the single‐scale stress analysis that the fluctuation in stress distribution and maximum stress were improved by re‐analyzing only the local mesh 28 . The nodal displacement on

{normalΓ}^{italicGL}

was obtained by the analysis of the mesh superposition method and used as the enforced displacement in the local mesh.…”

Section: Methodsmentioning

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

View full text Add to dashboard Cite

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.

show abstract