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Evaluation of Tensile Stress Relaxation of Selective Laser Sintering of PA2200 Material using the Maxwell-Wiechert Model Cover

Evaluation of Tensile Stress Relaxation of Selective Laser Sintering of PA2200 Material using the Maxwell-Wiechert Model

Open Access
|Jun 2025

Figures & Tables

Fig. 1.

Principle of SLS technology [2]

Fig. 2.

Test specimens: a) dimensions, b) STL saving, c) print orientation

Fig. 3.

Mechanical analogy of the Maxwell-Wiechert model [5,13]

Fig. 4.

Appearance of samples during stress relaxation tests

Fig. 5.

Stress relaxation curves for PA2200 material; Ed56{\rm{E}}_{\rm{d}}^{56}: a) Ed56−Pd0E_d^{56} - P_d^0, b) Ed56−Pd45E_d^{56} - P_d^{45}, c) Ed56−Pd90E_d^{56} - P_d^{90}

Fig. 6.

Stress relaxation curves for PA2200 material: d)Ed76−Pd0E_d^{76} - P_d^0, e)Ed76−Pd45E_d^{76} - P_d^{45}, f)Ed76−Pd90E_d^{76} - P_d^{90}

Fig. 7.

Example of a Maxwell-Wiechert model fit to experimental curves: a) Ed56−Pd0−1E_d^{56} - P_d^0 - 1, b) Ed76−Pd0−1E_d^{76} - P_d^0 - 1

Fig. 8.

Moduli of elasticity for PA 2200 material

Fig. 9.

Dynamic viscosity coefficients for PA 2200 material

Percentage of stress drop in PA2200 material

Rσ, %
Ed56
Pd0°45°90°
x¯ 20.9823.8522.61
SD1.864.860.56
Ed76
x¯ 24.523.624.1
SD0.40.50.4

Maxwell-Wichert model parameters and fit coefficients; Ed76

Lp.σ0, MPaσ1, MPaσ2, MPat1, st2, sChi2R2
Pd0
17.90.91.1132550.0004640.9960
26.70.80.8122510.0003770.9945
37.60.91.0122490.0004040.9954
47.00.80.9112420.0003820.9950
57.40.90.9122430.0004250.9947
67.50.91.0122480.0004120.9956
77.50.91.0122510.0004390.9952
87.70.91.0122450.0004340.9953
97.40.91.0112440.0004020.9952
107.70.91.0132460.0004340.9953
x¯ 7.40.91.0122470.0004180.9952
SD0.40.030.1140.0000270.0004
Pd45
17.80.91.092090.0002640.9971
27.10.80.9143370.0005580.9917
38.10.91.081930.0002260.9974
47.70.90.9143140.0005790.9925
57.90.91.092240.0002520.9970
67.10.80.891820.0003030.9953
76.70.80.9133300.0003430.9945
87.10.81.0174640.0006350.9908
97.40.81.0122640.0003950.9953
107.20.81.0122570.0003940.9952
x¯ 7.40.80.9122770.0003950.9947
SD0.40.040.13860.0001470.0023
Pd90
17.20.80.9122580.0003730.9949
27.90.91.0112520.0004150.9953
37.90.91.0122530.0004460.9952
47.90.91.0122530.0004300.9954
57.50.91.0122440.0004150.9953
67.40.91.0132390.0004440.9951
78.10.91.0122500.0004580.9953
87.60.90.9112510.0004140.9949
97.60.91.0122530.0004300.9951
107.91.01.0122480.0004820.9951
x¯ 7.70.91.0122500.0004310.9952
SD0.30.040.040.450.0000290.0001

Maxwell-Wichert model parameters and fit coefficients; Ed56

Lp.σ0, MPaσ1, MPaσ2, MPat1, st2, sChi2R2
Pd0
17.80.90.8112320.0003900.9942
28.40.70.8102520.0002990.9945
38.40.70.8102390.0003140.9947
47.90.90.9112330.0004030.9947
57.80.80.9112410.0003690.9948
68.70.80.8112520.0003480.9942
78.50.80.7112470.0003370.9937
88.20.70.7112510.0002670.9941
98.30.70.8112550.0002990.9949
108.00.70.7112400.0003090.9938
x¯ 8.20.80.8112440.0003340.9944
SD0.30.10.10.380.0000440.0004
Pd45
18.60.91.0122430.0004450.9951
27.90.90.9112410.0004100.9944
36.31.01.2122630.0005440.9958
45.81.01.0122490.0005120.9944
58.10.70.7112670.0002790.9943
67.60.70.7112590.0003040.9941
77.70.70.7112520.0003320.9936
87.00.70.7102640.0003260.9930
97.90.70.8112580.0002920.9947
107.40.70.7102490.0002640.9943
x¯ 7.40.80.8112550.0003710.9944
SD0.80.10.2190.0001010.0008
Pd90
18.40.90.9122570.0004210.9948
28.00.90.9112450.0004240.9945
37.90.90.9112450.0004330.9945
48.30.90.9122420.0003930.9947
58.30.90.9112450.0004080.9944
67.70.80.9122620.0003670.9952
77.90.80.9122530.0003690.9954
87.70.80.8112600.0003640.9944
97.70.80.9122620.0003530.9954
108.00.80.9122680.0003910.9952
x¯ 8.00.80.9122540.0003920.9948
SD0.30.040.030.390.0000280.0004

Values of technological parameters

EdPdLt
0.056 J/mm20.076 J/mm20°, 45°, 90°0.1 mm
P = 21 WP=22 W
v = 2500 mm/sv = 1970 mm/s

Properties of PA 2200 powder [23]

Powder propertiesValueUnitTest Standard
Medium grain size60μm-
Density of ubound powder0.435 – 0.445g/cm3DIN 53466
Density of sintered powder0.9 – 0.95g/cm3EOS - Method
Mechanical PropertiesValueUnitTest Standard
Flexural modulus, 23°C1500MPaISO 178
Flexural strength58ISO 178
Izod impact notched, 23°C4.4kJ/m2ISO 180/1A
Izod impact unnotched, 23°C32.8ISO 180/1U
Shore D hardness (15 s)75------ISO 868
Ball indentation hardness78MPaISO 2039-1
3D DataValueUnitTest Standard
Tensile modulusX-direction700MPaISO 527-1/2
Y-direction1700
Z-direction1650
X-direction48
Tensile strengthY-direction48
Z-direction47
Strain at breakX-direction24%ISO 527-1/2
Charpy impact strength (+23°C)X-direction53kJ/m2ISO 179/1eU
Charpy notched impact strength (+23°C)X-direction4.8ISO 179/1eA
Thermal conductivityX-direction0.144W/(mK)DIN 52616
Y-direction0.144
Z-direction0.127
DOI: https://doi.org/10.2478/ama-2025-0036 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Language: English
Page range: 292 - 299
Submitted on: Dec 16, 2024
|
Accepted on: Apr 14, 2025
|
Published on: Jun 30, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Wiktor SZOT, Mateusz RUDNIK, Paweł SZCZYGIEŁ, Natalia KOWALSKA, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.