scholarly journals A force-level theory of the rheology of entangled rod and chain polymer liquids. I. Tube deformation, microscopic yielding, and the nonlinear elastic limit

2016 ◽  
Vol 145 (21) ◽  
pp. 214903 ◽  
Author(s):  
Kenneth S. Schweizer ◽  
Daniel M. Sussman
Soft Matter ◽  
2018 ◽  
Vol 14 (34) ◽  
pp. 7052-7063 ◽  
Author(s):  
Shi-Jie Xie ◽  
Kenneth S. Schweizer

Deformation-induced changes of tube confinement field significantly modifies the shear rheological response of entangled flexible polymer liquids at WiR < 1.


Netsu Bussei ◽  
2014 ◽  
Vol 24 (3) ◽  
pp. 134-140
Author(s):  
TAN Chia Yuan ◽  
Daichi TORII ◽  
Naohiro KOSUGI ◽  
Gota KIKUGAWA ◽  
Taku OHARA

2015 ◽  
Vol 142 (16) ◽  
pp. 164509 ◽  
Author(s):  
Hiroki Matsubara ◽  
Gota Kikugawa ◽  
Takeshi Bessho ◽  
Seiji Yamashita ◽  
Taku Ohara

2011 ◽  
Vol 135 (3) ◽  
pp. 034507 ◽  
Author(s):  
Taku Ohara ◽  
Tan Chia Yuan ◽  
Daichi Torii ◽  
Gota Kikugawa ◽  
Naohiro Kosugi

2014 ◽  
Vol 06 (05) ◽  
pp. 1450048 ◽  
Author(s):  
J. D. CLAYTON

An unconventional nonlinear elastic theory is advocated for solids undergoing large compression as may occur in shock loading. This theory incorporates an Eulerian strain measure, in locally unstressed material coordinates. Analytical predictions of this theory and conventional Lagrangian theory for elastic shock stress in anisotropic single crystals of aluminum, copper and magnesium are compared. Eulerian solutions demonstrate greater accuracy compared to atomic simulation (aluminum) and faster convergence with increasing order of elastic constants entering the internal energy. A thermomechanical framework incorporating this Eulerian strain and accounting for elastic and plastic deformations is outlined in parallel with equations for Lagrangian finite strain crystal plasticity. For several symmetric crystal orientations, predicted values of volumetric compression at the Hugoniot elastic limit of the two theories begin to differ substantially when octahedral or prismatic slip system strengths exceed about 1% of the shear modulus. Predicted pressures differ substantially for volumetric compression in excess of 5%. Predictions of Eulerian theory are closer to experimental shock data for aluminum, copper, and magnesium polycrystals.


Author(s):  
L. M. Kagan-Rosenzweig ◽  

The article considers a new effect, namely, spontaneous bending (due to the vanishingly small disturbance) of an inelastic column when it is centrally compressed by a force that is less than critical. Earlier, no attention was paid to this effect. The problem is discussed on the example of a simply supported column of rectangular cross section. At a certain level of the force applied to the column curved due to spontaneous bending, the force increment causes the moment increment of an indefinite value. This force level is considered to be the critical one. Its calculation, which does not take into account the non-monotonic increase in stresses during the column deformation, gives the critical force exactly equal to the tangent modulus one.


1995 ◽  
Vol 71 (4) ◽  
pp. 783-791 ◽  
Author(s):  
K. S. Schweizer ◽  
G. Szamel

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