Continuum Damage Mechanics Approach for Modeling Cumulative-Damage Model

Table 1

Uniaxial two-level step-loading test data and predicted life using the tested rules [29, 30].

Materials				Min.	C. Miner	Wan.	Pro.	Exp.
C35	353	275	0.1	689200	461200	645282	181625	353280
C35	353	275	0.25	583000	355000	522964	124743	226560
C35	353	275	0.5	406000	178000	350078	84092	108840
C35	353	275	0.75	229000	1000	195578	63672	80040
C35	334	275	0.1	695000	467000	665427	282970	425960
C35	334	275	0.25	597500	369500	555925	205401	209140
C35	334	275	0.5	435000	207000	395480	149872	203200
C35	334	275	0.75	272500	44500	248607	123416	141780
C35	353	294	0.1	365200	245200	347626	159006	218400
C35	353	294	0.25	313000	193000	288484	114354	200600
C35	353	294	0.5	226000	106000	202826	80373	129200
C35	353	294	0.75	139000	19000	125034	62535	80600
C35	334	294	0.1	371000	251000	360633	233743	245800
C35	334	294	0.25	327500	207500	312617	182448	214300
C35	334	294	0.5	255000	135000	240633	141918	173000
C35	334	294	0.75	182500	62500	173737	121174	137700
C35	275	353	0.1	122800	107200	125055	128000	134240
C35	275	353	0.25	229000	213400	232769	242000	243560
C35	275	353	0.75	583000	567400	585675	617765	614200
C35	294	334	0.1	139000	106000	141485	149837	156600
C35	294	334	0.25	182500	149500	186429	207822	205600
C35	294	334	0.75	327500	294500	330098	361257	385800
SAE4130	648	552	0.25	224875	140275	210665	110429	92617
SAE4130	648	552	0.5	167750	83150	154192	80376	57488
SAE4130	648	552	0.75	110625	26025	102410	63762	55353
SAE4130	607	552	0.25	239000	154400	231274	168434	94898
SAE4130	607	552	0.5	196000	111400	188474	137549	109990
SAE4130	607	552	0.75	153000	68400	148386	120257	104496
SAE4130	648	565	0.25	181375	114175	171584	101796	118431
SAE4130	648	565	0.5	138750	71550	129353	76481	84542
SAE4130	648	565	0.75	96125	28925	90412	62289	63421
SAE4130	607	565	0.25	195500	128300	190834	153281	132108
SAE4130	607	565	0.5	167000	99800	162428	130673	121080
SAE4130	607	565	0.75	138500	71300	135687	117725	113412
7050	176	133	0.074	58856	40436	57885	55929	54852
7050	176	133	0.148	56312	37892	54924	52311	58708
7050	176	133	0.5	44213	25793	42588	39868	30449
7050	176	133	0.741	35929	17509	34903	33249	37627
7050	176	85	0.074	211090	143350	201638	176399	274446
7050	176	85	0.148	196381	128641	183362	153578	204383
7050	176	85	0.741	78509	10769	69646	55401	92428
7050	176	85	0.395	147284	79544	131814	103301	80475
7050	133	85	0.082	212319	144579	206720	191883	200205
7050	133	85	0.164	198838	131098	191046	172476	244318
7050	133	85	0.821	90827	23087	86925	79630	216409
7050	133	85	0.5	143600	75860	135023	117757	68700

Note: Min.: Palmgren–Miner damage cumulative law, C. Miner: corrected Palmgren–Miner damage cumulative law, Wan.: Wang YY’s damage cumulative law, Pro.: our proposal, Exp.: median fatigue experimental life, 7050-7050-T7451 aluminum alloy.