Study on hierarchical models for functionally graded plate-like structures by natural element method

2021 ◽  
Vol 258 ◽  
pp. 113322
Author(s):  
Jin-Rae Cho
Keyword(s):  
Hierarchical Models ◽  
Functionally Graded ◽  
Functionally Graded Plate ◽  
Natural Element Method ◽  
Natural Element ◽  
Element Method

scholarly journals A Numerical Evaluation of SIFs of 2-D Functionally Graded Materials by Enriched Natural Element Method

2019 ◽  
Vol 9 (17) ◽  
pp. 3581 ◽  
Author(s):  
Jin-Rae Cho
Keyword(s):  
Stress Intensity ◽  
Functionally Graded Materials ◽  
Displacement Field ◽  
Stress Intensity Factors ◽  
Crack Tip ◽  
Functionally Graded ◽  
Intensity Factors ◽  
Graded Materials ◽  
Natural Element Method ◽  
Natural Element

This paper presents the numerical prediction of stress intensity factors (SIFs) of 2-D inhomogeneous functionally graded materials (FGMs) by an enriched Petrov-Galerkin natural element method (PG-NEM). The overall trial displacement field was approximated in terms of Laplace interpolation functions, and the crack tip one was enhanced by the crack-tip singular displacement field. The overall stress and strain distributions, which were obtained by PG-NEM, were smoothened and improved by the stress recovery. The modified interaction integral M ˜ ( 1 , 2 ) was employed to evaluate the stress intensity factors of FGMs with spatially varying elastic moduli. The proposed method was validated through the representative numerical examples and the effectiveness was justified by comparing the numerical results with the reference solutions.

Upper Bound Shakedown Analysis of Plates Utilizing the C$$^{1}$$ Natural Element Method

2020 ◽  
Author(s):  
Shutao Zhou ◽  
Yinghua Liu ◽  
Binjie Ma ◽  
Chuantao Hou ◽  
Yatang Ju ◽  
...  
Keyword(s):  
Upper Bound ◽  
Shakedown Analysis ◽  
Natural Element Method ◽  
Natural Element ◽  
Element Method
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