Homogenization Method Based on Eigenvector Expansions

Xing, Yufeng; Jun, Tian; Dechao, Zhu; Xie, Wenjian

doi:10.1615/intjmultcompeng.v4.i1.130

Cited by 10 publications

(3 citation statements)

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“…3a, the deformations by the eigenelement method (M2) and FEM (M1) are similar and the strain energies are the same. If the unit cell is asymmetric, the reference matrix should be calculated by means of the eigenvector expansion method [16] etc.…”

Section: Two Dimensional Problemsmentioning

confidence: 99%

“…Xing et al [16] proposed a homogenization method based on the eigenvector expansion. For 3D braided composites, the natural frequencies obtained by this method are closer to FEM results than CAM and SAM.…”

Section: Introductionmentioning

confidence: 99%

“…For 3D braided composites, the natural frequencies obtained by this method are closer to FEM results than CAM and SAM. For improving the homogenization method [16] and the eigenelement method [17], Xing and Yang [18] presented a new approach to determine the shape functions of the eigenelement, but it is difficult to extend the approach to the homogenization analysis of 2D and 3D composites.…”

Section: Introductionmentioning

confidence: 99%

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An eigenelement method and two homogenization conditions

Xing

Wang

2008

Acta Mech Sin

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Under inspiration from the structure-preserving property of symplectic difference schemes for Hamiltonian systems, two homogenization conditions for a representative unit cell of the periodical composites are proposed, one condition is the equivalence of strain energy, and the other is the deformation similarity. Based on these two homogenization conditions, an eigenelement method is presented, which is characteristic of structure-preserving property. It follows from the frequency comparisons that the eigenelement method is more accurate than the stiffness average method and the compliance average method.

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Section: Two Dimensional Problemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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