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- Title
Piecewise variables separation-based semi-analytical prediction of effective properties for heterogeneous viscoelastic materials.
- Authors
Fu, Qiang; He, Yiqian; Guo, Jin; Guo, Xinglin; Yang, Haitian
- Abstract
A novel semi-analytical method in the time domain is proposed to predict the effective properties of heterogeneous viscoelastic composites. By virtue of a temporal series expansion, a piecewise variable separation is realized, and is utilized to formulate a recursive homogenization process, which provides time varying effective strain/stress at a time interval, and can be implemented by M-T, SC methods, or other well-developed spatial homogenization skills. A recursive adaptive algorithm is developed to compute the effective stress and strain, and the temporal inaccuracy caused either by the numerical integral inversion of the integral transformation method, or by the relatively lower truncation order of FDM or improper step size can be avoided. Numerical verification is provided to demonstrate the effectiveness and accuracy of the prediction in comparison with reference solutions obtained by the integral transform method or FEM-based DNS.
- Subjects
INHOMOGENEOUS materials; SEPARATION of variables; INTEGRAL transforms; TIME pressure; FORECASTING; VISCOELASTIC materials
- Publication
Acta Mechanica, 2022, Vol 233, Issue 2, p579
- ISSN
0001-5970
- Publication type
Article
- DOI
10.1007/s00707-021-03099-x