Modeling and Simulation of Deformation Behavior of Polymer Based on Molecular Chain Network Theory

2013 ◽  
Vol 62 (9) ◽  
pp. 598-604 ◽  
Author(s):  
Yoshihiro TOMITA
2019 ◽  
Vol 794 ◽  
pp. 9-18
Author(s):  
Yoshihiro Tomita ◽  
Makoto Uchida

We proposed constitutive equations for the strain rate and temperature-dependent behavior of rubber by employing the nonaffine molecular chain network theory and reptation theory. The finite element homogenization method along with the proposed constitutive equations have the capability of predicting the deformation behaviors of particle-filled rubber under changes in volume fractions, distribution patterns, and size heterogeneity of the particles without additional parameters. The only existing problem is the modest estimation of the stiffness of rubber immediately after the abrupt change in strain rate direction (ACSD) as can be seen in the cyclic deformation behavior. We restricted our attention to the generalization of our nonaffine molecular chain network theory to overcome the problems associated with ACSD. We consider the effect of the delay of deformation in surrounding chains on the elasticity modulus by introducing an amplification parameter dependent on the current chain stretch and direction of strain rate immediately after ACSD. The potential of the proposed constitutive equations is examined against the predictability of the experimentally obtained deformation exhibiting ACSD.


2011 ◽  
Vol 145 ◽  
pp. 224-228 ◽  
Author(s):  
Xiao Song ◽  
Bing Cheng Liu ◽  
Guang Hong Gong

Military SoS increasingly shows its relation of complex network. According to complex network theory, we construct a SoS network topology model for network warfare simulation. Analyzing statistical parameters of the model, it is concluded that the topology model has small-world, high-aggregation and scale-free properties. Based on this model we mainly simulate and analyze vulnerability of the network. And this provides basis for analysis of the robustness and vulnerability of real battle SoS network.


PAMM ◽  
2008 ◽  
Vol 8 (1) ◽  
pp. 10547-10548 ◽  
Author(s):  
Svyatoslav Gladkov ◽  
Marcus Stiemer ◽  
Bob Svendsen

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