1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Development of a stochastic constitutive model for prediction of postyield softening in glassy polymers
Rent:
Rent this article for
USD
10.1122/1.4801958
/content/sor/journal/jor2/57/3/10.1122/1.4801958
http://aip.metastore.ingenta.com/content/sor/journal/jor2/57/3/10.1122/1.4801958

Figures

Image of FIG. 1.
FIG. 1.

Stochastic constitutive model predictions of the uniaxial stress–strain response in compression (A) and extension (B) for s-PMMA. Stress–strain response was for a constant strain rate of 10 s at 372 K (i.e., at −22 K), where the glass was formed at a cooling rate of 1 K/min from 394 K (i.e., ). Stress–strain curves are immediately after the rapid cooling (i.e., quenched), 1 (magenta); after 3 h aging, 2 (blue); and fully equilibrated, 3 (black).

Image of FIG. 2.
FIG. 2.

Uniaxial stress–strain behavior in compression (A) and extension (B) for PMMA [ ]. Stress–strain response was for a constant strain rate of 1.6 × 10 s at 372 K (i.e., at −22 K), where the glass was formed at a cooling rate of approximately 1 K/min from 424 K (i.e., at +30 K). Stress–strain curves are at the following aging times: (A) 1, no aging; 2, 1 day; 3, 5 days; 4, 10 days; (B) 1, no aging; 2, 2 h; 3, 11 h.

Image of FIG. 3.
FIG. 3.

Specific volume prediction and of the SCM for uniaxial compression (A) and extension (B) of PMMA at −22 K with a strain rate of 10 s where the glass was formed at a cooling rate of 1 K/min from 394 K (i.e., at ). Stress–strain curves are immediately after the rapid cooling (i.e., quenched), 1 (magenta); after 3 h aging, 2 (blue); and fully equilibrated, 3 (black).

Image of FIG. 4.
FIG. 4.

Evolution of the instantaneous relaxation spectrum as model PMMA is cooled from at a rate of 1 K/min to −22 K, allowed to age for the time , and then subjected to uniaxial extension at a strain rate of 10 s; 1: equilibrium material at ; 2: −22 K,  = 0; 3: −22 K,  = 3 h; 4: −22 K,  = ∞ (equilibrium material); 5: material at 20% strain.

Image of FIG. 5.
FIG. 5.

Evolution of the relaxation spectrum [(A)–(C)] and the x component of stress defined in Eq. (49d) [(D)–(F)] for PMMA in constant strain rate uniaxial as the material is going through yield at the test temperature  = 372 K and a strain rate of 10 s. The response is for an equilibrated material [(A), (D)]; after 3 h sub- annealing [(B), (E)]; and, immediately after the cooling to the test temperature [(C), (F)]. The strains at which the pdf's were determined are green—0%; cian—2.0%; blue—4.0%; black—6.6% (∼yield); purple—8.6%; red—19.7%.

Image of FIG. 6.
FIG. 6.

Evolution of the relaxation spectrum [(A)–(C)] and the x component of stress defined in Eq. (49d) [(D)–(F)] for PMMA in constant strain rate uniaxial as the material is going through yield at the test temperature  = 372 K and a strain rate of 10 s. The response is for an equilibrated material [(A), (D)]; after 3 h sub- annealing [(B), (E)]; and, immediately after the cooling to the test temperature [(C), (F)]. The strains at which the pdf's were determined are green—0%; cian—2.0%; blue—4.0%; black—6.0% (∼yield); purple—8.6%; red—19.7%.

Image of FIG. 7.
FIG. 7.

Evolution of the pdf's for the various variables contributing to the configuration internal energy that controls log ; the strains at which the pdf's were determined are green—0%; cian—2.0%; blue—4.0%; black—6.0% (∼yield); purple—8.6%; red—19.7%.

Image of FIG. 8.
FIG. 8.

Evolution of mobility, i.e., (A) and associated fluctuations in entropy with respect to its equilibrium value (B), i.e., , in a representative mesodomain for a material at −22 K that has been cooled into the glass at 1 K/min.

Image of FIG. 9.
FIG. 9.

Evolution of , entropy (i.e., ) and the axial stress (i.e., ) for two different mesodomain realizations [(A) and (B)]. The material was at equilibrium at 372 K ( −22 K) and then deformed in uniaxial compression at a strain rate of 10 s. Letters refer to the state of mobility: r, rigid; m, mobile; i, intermediate.

Tables

Generic image for table
TABLE I.

Material properties of PMMA.

Generic image for table
TABLE II.

Material parameters for PMMA.

Loading

Article metrics loading...

/content/sor/journal/jor2/57/3/10.1122/1.4801958
2013-04-19
2014-04-19
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Development of a stochastic constitutive model for prediction of postyield softening in glassy polymers
http://aip.metastore.ingenta.com/content/sor/journal/jor2/57/3/10.1122/1.4801958
10.1122/1.4801958
SEARCH_EXPAND_ITEM