Semianalytical Solution for the Deformation of an Elastic Layer under an Axisymmetrically Distributed Power-Form Load: Application to Fluid-Jet-Induced Indentation of Biological Soft Tissues

Table 1

Maximum axial displacement (, ×10⁻⁵ m) values obtained from the analytical solution and FEM with different parameters.

h (m)
ν	0.001		0.01		0.02
	Analytical	FEM	Analytical	FEM	Analytical	FEM
m = 10
0.1	1.9303	1.9301	8.8642	8.8638	10.019	10.019
0.2	1.7795	1.7794	8.5055	8.5052	9.6679	9.6677
0.3	1.5035	1.5034	7.9206	7.9202	9.0892	9.0890
0.4	1.0574	1.0573	7.0899	7.0895	8.2731	8.2730
0.5	0.3691	0.3690	5.9795	5.9791	7.2017	7.2016
m = 20
0.1	1.8959	1.8955	6.6904	6.6899	7.2850	7.2847
0.2	1.7529	1.7525	6.4408	6.4403	7.0400	7.0398
0.3	1.5021	1.5017	6.0317	6.0313	6.6354	6.6351
0.4	1.1104	1.1102	5.4532	5.4527	6.0660	6.0657
0.5	0.5261	0.5259	4.6875	4.6871	5.3227	5.3225
m = 30
0.1	1.8602	1.8597	5.6252	5.6247	6.0257	6.0255
0.2	1.7247	1.7242	5.4230	5.4425	5.8269	5.8267
0.3	1.4924	1.4920	5.0909	5.0904	5.4981	5.4978
0.4	1.1366	1.1362	4.6219	4.6214	5.0357	5.0354
0.5	0.6153	0.6149	4.0043	4.0038	4.4338	4.4334
m = 40
0.1	1.8250	1.8244	4.9577	4.9572	5.2598	5.2595
0.2	1.6963	1.6957	4.7835	4.7830	5.0882	5.0879
0.3	1.4788	1.4783	4.4969	4.4963	4.8041	4.8038
0.4	1.1498	1.1493	4.0926	4.0920	4.4050	4.4046
0.5	0.6732	0.6727	3.5617	3.5611	3.8861	3.8857