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Network defects and visco-elasticity
Published in Per-Erik Austrell, Leif Kari, Constitutive Models for Rubber IV, 2017
M. Lang, D. Göritz, S. Kreitmeier
ABSTRACT: We use a dynamic Monte-Carlo method for the simulation of polymer networks in three dimensions with detailed information on the molecular structure of the systems. The networks are analysed concerning network defects, entanglements or the elastically active material and compared with the theory on formation and structure of polymer networks. The length distributions of dangling material or inactive cycles are analysed for cross-linked and end-linked networks. Thus, the volume fractions of active material for both types of polymer networks can be estimated as a function of conversion. In most cases we find good agreement with theory when considering intra-molecular reactions and recently found additional corrections for cross-linked networks. However, close to the gel-point or close to full conversion deviations from mean field predictions appear.
Development of Monte Carlo Neutron Transport Method-Based Supercritical Transient Code with Time-Dependent Feedback Capability
Published in Nuclear Science and Engineering, 2019
Delgersaikhan Tuya, Toru Obara
Recently, thanks to the increasing power and decreasing cost of computers, there has been increasing interest in applying more sophisticated models based on Monte Carlo neutron transport methods to power transient calculations. For instance, the Transient Fission Matrix method1 treats a fissile system in a regionwise manner considering the neutronic coupling effect between regions using a fission matrix obtained by the Monte Carlo method. Meanwhile, the Dynamic Monte Carlo method2–5 directly simulates the neutron population using a Monte Carlo method at a given state of a considered system, while also allowing feedback to be taken into account.