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

### Abstract

A stochastic constitutive model has been developed that explicitly acknowledges the nanometer size dynamic heterogeneity of glassy materials, where the distribution of the viscoelastic relaxation times emerges naturally as a result of the dynamic heterogeneity. A set of stochastic differential equations for local stresses and entropy describing behavior of a mesoscopic domain are developed, and the observed macroscopic response of the material is obtained as an average of an ensemble of domains. The stochastic constitutive model naturally predicts and provides a mechanism for the postyield stress softening and its dependence on physical aging that is observed during constant strain rate uniaxial deformations.

© 2013 The Society of Rheology

Received 20 February 2013
Revised 28 March 2013
Published online 19 April 2013

Acknowledgments: This work was supported by the National Science Foundation—Grant No. NIRT 0506840.

Article outline:

I. INTRODUCTION

II. MODEL DEVELOPMENT

A. Perspective

B. Formal structure of stochastic based constitutive model

C. Connection with one-dimensional volume relaxation

D. Development of constitutive model including fluctuations

E. Connection between the mesoscale fluctuations and macroscopic quantities

F. Development of log *a* model

III. RESULTS

A. Model parameters

B. SCM predictions for uniaxial deformation

C. Evolution of internal variables in SCM

D. Mechanistic origin of the evolution of the internal variables

1. Isotropic behavior

2. Behavior during uniaxial extension

IV. DISCUSSION

A. Formulation of SCM

B. Predictions of SCM

C. Introduction of fluctuations into continuum mechanics

1. Brownian particle

2. Fluctuating hydrodynamics

3. Stochastic constitutive model

/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

Article metrics loading...

/content/sor/journal/jor2/57/3/10.1122/1.4801958

2013-04-19

2014-04-24

Full text loading...

### Most read this month

Article

content/sor/journal/jor2

Journal

5

3

Commenting has been disabled for this content