Table 4 The deflection of the center point when k =  + ∞ and n varies.

From: R-function method and variational method for the bending problem of functionally graded plates with fixed supports and complex shapes

 

Grid density

Deflection of center point (m)

Error (%)

The method of this paper

\(15 \times 15\)

0.00052330

83.61

\(20 \times 20\)

0.00033242

16.64

\(25 \times 25\)

0.00029596

3.85

\(30 \times 30\)

0.00028738

0.83

\(35 \times 35\)

0.00028524

0.08

\(40 \times 40\)

0.00028310

0.67

Analytical solution61

0.000284

——

FEM solution

0.00029529

3.61

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