Ultrasonic measurement and elastic properties of the PbO-SrO-B<sub>2</sub>O<sub>3</sub> glass system

Author contributions: Bianca Reis Moya: PhD student responsible for the project, has participed in all the planning, execution and production of the manuscript. Idalci Cruvinel dos Reis: Profº. Drº. - Project advisor and supervisor. Victor Ciro Solano Reynoso: Profº. Drº. - Project co-supervisor and supervisor. Mariana da Silva Barros: Academic of the undergraduate course in Civil Engineering, where she accompanied the laboratory activities. Kamila Ruthielle Silva Gomes: Academic of the undergraduate course in Civil Engineering, where she accompanied the laboratory activities. Note: All the authors used the scientific construction of the manuscript, considering the stages of reading and reviewing.

Editors: Jose Tadeu Balbo, José Luiz Antunes de Oliveira e Sousa, Guilherme Aris Parsekian.

Glasses	B₂O₃ (%)	SrO (%)	PbO (%)	R (=PbO/ B₂O₃)	Thickness (mm)	ρ (g/ cm³)	Vm (cm³)	V_T (cm³)
BPS-1	60	25	15	0,25	0,6	4,26	23,75	61,03
BPS-2	60	20	20	0,33	0,9	4,35	24,63	60,34
BPS-3	60	15	25	0,42	0,96	4,43	25,53	59,64
BPS-4	60	10	30	0,50	1,18	4,52	26,35	59,20
BPS-5	60	5	35	0,58	0,94	4,68	26,72	59,75
BPS-6	60	0	40	0,67	0,64	4,82	27,19	60,08

Glasses	V_L (m/s)	V_S (m/s)	Vms (m/s)	L (10^10 N/m²)	G (10^10 N/m²)	K (GPa)	E
BPS-1	4918,67	2951,20	3264,75	103,06	37,10	53,59	75,42
BPS-2	4626,00	2775,60	3070,49	93,09	33,51	48,41	68,24
BPS-3	4541,33	2724,80	3014,29	91,36	32,89	47,51	66,99
BPS-4	4361,00	2616,60	2894,60	85,96	30,95	44,69	63,12
BPS-5	4209,00	2525,40	2793,71	82,91	29,85	43,11	60,92
BPS-6	4104,00	2462,40	2724,01	81,18	29,23	42,21	59,68

Glasses	$θ_{d}$	$σ$	Z (10^-7 kg / m².s)	A
BPS-1	411,7409	0,21879	2,09	114099,81
BPS-2	382,5736	0,21878	2,01	107309,87
BPS-3	371,1051	0,21874	2,01	105345,53
BPS-4	352,6334	0,21869	1,97	101161,87
BPS-5	338,7643	0,21872	1,96	97635,47
BPS-6	328,3990	0,21867	1,98	95199,47

Glasses	Vitreous system B₂O₃ - SrO – PbO
Glasses	Peaks in the middle infrared (cm^-1)
BPS-1	2350	1640	1360	1030	682
BPS-2	2370	1640	1370	993	682
BPS-3	2360	1640	1420	1050	682
BPS-4	2360	1640	1430	1100	661
BPS-5	2350	1640	1390	1050	661
BPS-6	2350	1640	1390	1000	682

Glasses	V_L	V_S	Vms	L	G	K	E
	(m/s)	(m/s)	(m/s)	(10^10 N/m²)	(10^10 N/m²)	(GPa)
BPS-1	4918,67	2951,202	3264,75	103,06	37,10	53,59	75,42
BPS-2	4626,00	2775,6	3070,49	93,09	33,51	48,41	68,24
BPS-3	4541,33	2724,798	3014,29	91,36	32,89	47,51	66,99
BPS-4	4361,00	2616,6	2894,60	85,96	30,95	44,69	63,12
BPS-5	4209,00	2525,4	2793,71	82,91	29,85	43,11	60,92
BPS-6	4104,00	2462,4	2724,01	81,18	29,23	42,21	59,68

Glasses	V_L	V_S	Vms	L	G	K	E
Glasses	(m/s)	(m/s)	(m/s)	(GPa)	(GPa)	(GPa)	(GPa)
BPS-1	4918,67	2951,202	3264,75	103,06	37,10	53,59	90,44
BPS-2	4626,00	2775,6	3070,49	93,09	33,51	48,41	81,69
BPS-3	4541,33	2724,798	3014,29	91,36	32,89	47,51	80,17
BPS-4	4361,00	2616,6	2894,60	85,96	30,95	44,69	75,43
BPS-5	4209,00	2525,4	2793,71	82,91	29,85	43,11	72,75
BPS-6	4104,00	2462,4	2724,01	81,18	29,23	42,21	71,26

Glasses	$θ_{d}$	$σ$	Z	A
Glasses	$θ_{d}$	$σ$	(10^-7 kg / m².s)	A
BPS-1	411,7409	0,21879	2,09	114099,81
BPS-2	382,5736	0,21878	2,01	107309,87
BPS-3	371,1051	0,21874	2,01	105345,53
BPS-4	352,6334	0,21869	1,97	101161,87
BPS-5	338,7643	0,21872	1,96	97635,47
BPS-6	328,3990	0,21867	1,98	95199,47

Glasses	$θ_{d}$	$σ$	Z	A
Glasses	K	$σ$	(10⁷ kg / m².s)	10^-6 K^-1
BPS-1	411,7409	0,21879	2,09	11,41
BPS-2	382,5736	0,21878	2,01	10,73
BPS-3	371,1051	0,21874	2,01	10,53
BPS-4	352,6334	0,21869	1,97	10,12
BPS-5	338,7643	0,21872	1,96	9,76
BPS-6	328,3990	0,21867	1,98	9,52

[1] Source: the autors (2018).

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