Relating rheology and molecular structure of model branched polystyrene melts by molecular stress function theory

2004 ◽  
Vol 48 (3) ◽  
pp. 489-503 ◽  
Author(s):  
M. H. Wagner ◽  
J. Hepperle ◽  
H. Münstedt
Keyword(s):  
Molecular Structure ◽  
Stress Function ◽  
Function Theory ◽  
Molecular Stress Function ◽  
Molecular Stress Function Theory ◽  
Branched Polystyrene

Modeling strain hardening of polydisperse polystyrene melts by molecular stress function theory

2004 ◽  
Vol 44 (3) ◽  
pp. 235-243 ◽  
Author(s):  
M. H. Wagner ◽  
S. Kheirandish ◽  
K. Koyama ◽  
A. Nishioka ◽  
A. Minegishi ◽  
...  
Keyword(s):  
Strain Hardening ◽  
Stress Function ◽  
Function Theory ◽  
Molecular Stress Function ◽  
Molecular Stress Function Theory

Validity of the modified molecular stress function theory to predict the rheological properties of polymer nanocomposites

2013 ◽  
Vol 57 (3) ◽  
pp. 881-899 ◽  
Author(s):  
Hojjat Mahi Hassanabadi ◽  
Mahdi Abbasi ◽  
Manfred Wilhelm ◽  
Denis Rodrigue
Keyword(s):  
Rheological Properties ◽  
Polymer Nanocomposites ◽  
Stress Function ◽  
Function Theory ◽  
Molecular Stress Function ◽  
Molecular Stress Function Theory

scholarly journals Conditional Wave Function Theory: A Unified Treatment of Molecular Structure and Nonadiabatic Dynamics

2021 ◽  
Author(s):  
Guillermo Albareda ◽  
Kevin Lively ◽  
Shunsuke A. Sato ◽  
Aaron Kelly ◽  
Angel Rubio
Keyword(s):  
Molecular Structure ◽  
Wave Function ◽  
Function Theory ◽  
Nonadiabatic Dynamics

Molecular structure characterization of linear and branched polystyrene blends by size exclusion chromatography coupled with viscometry

Polymer ◽  
2002 ◽  
Vol 43 (11) ◽  
pp. 3181-3190 ◽  
Author(s):  
A. Kaivez ◽  
X.A. Gallez ◽  
D. Daoust ◽  
J. Devaux ◽  
P. Godard
Keyword(s):  
Molecular Structure ◽  
Size Exclusion Chromatography ◽  
Structure Characterization ◽  
Size Exclusion ◽  
Exclusion Chromatography ◽  
Branched Polystyrene

Solution of Plane Problems of Elasticity Utilizing Partitioning Concepts

1973 ◽  
Vol 40 (3) ◽  
pp. 767-772 ◽  
Author(s):  
O. L. Bowie ◽  
C. E. Freese ◽  
D. M. Neal
Keyword(s):  
Analytic Function ◽  
Power Series ◽  
Collocation Method ◽  
Stress Function ◽  
Function Theory ◽  
Series Expansions ◽  
Two Dimensional ◽  
Numerical Examples ◽  
Power Series Expansions

A partitioning plan combined with the modified mapping-collocation method is presented for the solution of awkward configurations in two-dimensional problems of elasticity. It is shown that continuation arguments taken from analytic function theory can be applied in the discrete to “stitch” several power series expansions of the stress function in appropriate subregions of the geometry. The effectiveness of such a plan is illustrated by several numerical examples.

An investigation of beam theory using the Airy stress function coupled with analytic function theory

1986 ◽  
Vol 20 (1) ◽  
pp. 73-79
Author(s):  
D. E. Jesson ◽  
W. N. Cottingham
Keyword(s):  
Analytic Function ◽  
Stress Function ◽  
Function Theory ◽  
Beam Theory ◽  
Airy Stress Function

Analysis of Mode III Collinear Periodic Cracks-Tip Stress Field of an Infinite Orthotropic Plate

2012 ◽  
Vol 446-449 ◽  
pp. 2080-2084 ◽  
Author(s):  
Xue Xia Zhang ◽  
Chan Li ◽  
Xiao Chao Cui ◽  
Wen Bin Zhao
Keyword(s):  
Crack Length ◽  
Stress Function ◽  
Function Theory ◽  
Complex Function ◽  
Mode Iii ◽  
Mechanical Problem ◽  
Complex Function Theory ◽  
Plane Shear ◽  
Periodic Cracks ◽  
The Given

The cracks-tip field on collinear periodic cracks of infinite orthotropic fiber reinforcement composite plate subjected to anti-plane shear force is studied in this paper. With the introduction of the Westergaard stress function and application of complex function theory and undetermined coefficients method, mechanical problem is changed into partial differential boundary value problem. The undetermined coefficients and the stress function are obtained with the help of boundary conditions. Due to the distribution of periodic cracks, stress intensity factor depends on the shape factor. The results show that interaction happens between the collinear periodic cracks. When the ratio of crack length and crack spacing is less than 1/3, the interaction between the cracks is very small. When the ratio gradually increases to 1, strong interaction between the cracks will be found. Cracks-tip field has scale effect. When the ratio of crack length and the given reference crack length decreases, the displacement field is significantly smaller.

scholarly journals Hierarchical multi-mode molecular stress function (HMMSF) model for linear and LCB polymer melts

2019 ◽  
Author(s):  
Esmaeil Narimissa ◽  
Manfred H. Wagner
Keyword(s):  
Stress Function ◽  
Polymer Melts ◽  
Molecular Stress Function ◽  
Multi Mode
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