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Guo, D. L.; Zhang, H. H.; Ji, X. L.; Han, S. Y.

Mechanical modeling of arbitrarily perforated orthotropic composites with the numerical manifold method. (English) Zbl 07875814

Eng. Anal. Bound. Elem. 158, 289-302 (2024).

MSC: 74-XX 65-XX

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Delouei, Amin Amiri; Emamian, Amin; Ghorbani, Saeed; He, Fuli

A general unsteady Fourier solution for orthotropic heat transfer in 2D functionally graded cylinders. (English) Zbl 07861232

Math. Methods Appl. Sci. 47, No. 6, 3942-3959 (2024).

MSC: 80M22 80M20 35Q79

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Sun, Hao; jia, Chao; Xiong, Feng; Wu, Zhijun

Numerical modelling of CO\(_2\) leakage through fractured caprock using an extended numerical manifold method. (English) Zbl 07855349

Eng. Anal. Bound. Elem. 162, 327-336 (2024).

MSC: 76-XX 92-XX

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Wang, Pan; Han, Xiangcheng; Wen, Weibin; Wang, Baolin; Liang, Jun

Galerkin-based quasi-smooth manifold element (QSME) method for anisotropic heat conduction problems in composites with complex geometry. (English) Zbl 1537.74352

AMM, Appl. Math. Mech., Engl. Ed. 45, No. 1, 137-154 (2024).

MSC: 74S05 65M60 74F05 80A19

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Zhang, Limei; Zheng, Hong; Liu, Feng

MLS-based numerical manifold method for steady-state three-dimensional heat conduction problems of functionally graded materials. (English) Zbl 1538.74140

Comput. Math. Appl. 144, 124-140 (2023).

MSC: 74S05 65N30 80A19 80M15 74R10 74F05 74A15

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Zhang, Yuhui; Rabczuk, Timon; Lu, Jun; Lin, Shifa; Lin, Ji

Space-time backward substitution method for nonlinear transient heat conduction problems in functionally graded materials. (English) Zbl 1524.65696

Comput. Math. Appl. 124, 98-110 (2022).

MSC: 65M70 74F05 65M06 80M22 80M20 65D05 65D12 33B10 80A19 35K05 35Q79

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Sun, Hao; Xiong, Feng; Wu, Zhijun; Ji, Jian; Fan, Lifeng

An extended numerical manifold method for two-phase seepage-stress coupling process modelling in fractured porous medium. (English) Zbl 1507.76208

Comput. Methods Appl. Mech. Eng. 391, Article ID 114514, 29 p. (2022).

MSC: 76S05

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Zheng, Hong; Wang, Fangyi

The numerical manifold method for exterior problems. (English) Zbl 1442.65420

Comput. Methods Appl. Mech. Eng. 364, Article ID 112968, 22 p. (2020).

MSC: 65N38

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Liu, Zheng; Wei, Gaofeng; Wang, Zhiming

Numerical solution of functionally graded materials based on radial basis reproducing kernel particle method. (English) Zbl 1464.65262

Eng. Anal. Bound. Elem. 111, 32-43 (2020).

MSC: 65N75

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Burlayenko, Vyacheslav N.; Sadowski, Tomasz; Altenbach, Holm; Dimitrova, Svetlana

Three-dimensional finite element modelling of free vibrations of functionally graded sandwich panels. (English) Zbl 1468.74059

Altenbach, Holm (ed.) et al., Recent developments in the theory of shells. Dedicated to Wojciech Pietraszkiewicz on the occasion of his 80th birthday. Cham: Springer. Adv. Struct. Mater. 110, 157-177 (2019).

Reviewer: M. Cengiz Dökmeci (İstanbul)

MSC: 74S05 74H45 74K20 74E30

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Xi, Qiang; Fu, Zhuo-Jia; Rabczuk, Timon

An efficient boundary collocation scheme for transient thermal analysis in large-size-ratio functionally graded materials under heat source load. (English) Zbl 1464.74418

Comput. Mech. 64, No. 5, 1221-1235 (2019).

MSC: 74S99 74F05 74E05

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