A Modification of the Moving Least-Squares Approximation in the Element-Free Galerkin Method

Table 1

Degradation cases and perturbation of shape functions.

Node 8′	cond(𝐴)	cond(𝐴)	min𝐴	𝜙1	𝜙2	𝜙3	𝜙4	∑𝑖𝜙𝑖
				𝜙5	𝜙6	𝜙7	𝜙8
(3.0,1.0)	1.70𝑒28	1.08𝑒34	0.0	NaN	NaN	NaN	NaN	NaN
				NaN	NaN	NaN	NaN
(2.999,0.999)	4.47𝑒9	1.57𝑒8	7.86𝑒−11	−99.96	100.39	99.85	−100.02	1.00
				−50.02	350.03	−549.52	250.25
(2.99,0.99)	3.87𝑒7	1.33𝑒6	9.29𝑒−9	−9.96	10.39	9.85	−10.03	1.00
				−5.01	35.03	−54.52	25.25
(2.9,0.9)	3.47𝑒5	7.47𝑒3	1.87𝑒−6	−0.96	1.38	0.82	−1.03	1.00
				−0.51	3.53	−5.01	2.78
(3.0,0.9)	3.83𝑒5	9.46𝑒3	1.39𝑒−6	−1.10	1.55	0.95	−1.18	1.00
				−0.62	3.98	−5.36	2.78