Related Experiment Video
Updated: Jul 16, 2025
08:00
DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers
Published on: October 25, 2017
6.9K
The Study Influence Analysis of the Mathematical Model Choice for Describing Polymer Behavior
Anna A Kamenskikh1, Yuriy O Nosov1, Anastasia P Bogdanova1
1Department of Computational Mathematics, Mechanics and Biomechanics, Perm National Research Polytechnic University, 614990 Perm, Russia.
Polymers
|September 9, 2023
Summary
This study explores viscoelastic models for polymers and composites, implementing a numerical method to determine material behavior coefficients for antifriction applications and comparing results with experimental data.
Area of Science:
- Deformable Solid Mechanics
- Materials Science
- Computational Mechanics
Background:
- Traditional models (elastic, elastic-plastic) may not fully capture complex material behaviors.
- Modern polymeric and composite materials require advanced modeling for applications like antifriction sliding layers.
- Understanding material response under static and dynamic conditions is crucial for performance prediction.
Purpose of the Study:
- To investigate the suitability of viscoelasticity for describing the behavior of polymeric and composite materials.
- To develop and implement a numerical procedure for determining viscoelastic material parameters using the Prony model.
- To analyze the influence of discretization and material model choice on numerical solutions for indentation problems.
Main Methods:
- Utilized the framework of deformable solid mechanics.
- Implemented a numerical procedure to identify Prony model coefficients for viscoelastic behavior.
- Modeled the spherical indenter penetration into a polymer half-space.
- Performed analysis on the impact of system discretization on numerical outcomes.
Main Results:
- Successfully implemented a numerical procedure for finding viscoelastic material coefficients.
- Compared numerical results with experimental data, showing good agreement.
- Analyzed the influence of discretization on the accuracy of numerical solutions.
- Evaluated the impact of static versus dynamic descriptions of polymer behavior.
Conclusions:
- Viscoelastic models offer a viable approach for describing modern polymeric and composite materials, particularly for antifriction applications.
- The developed numerical procedure effectively determines material parameters for the Prony model.
- System discretization significantly influences the accuracy of numerical simulations.
- The choice between static and dynamic material descriptions impacts the analysis of polymer behavior in different problem formulations.
Related Concept Videos
01:10Polymers: Molecular Weight Distribution
3.5K
For any given polymer, the weight average molecular weight (Mw) is higher than, if not equal to, the number average molecular weight (Mn). The only situation in which the weight average molecular weight and the number average molecular weight are equal is when a polymer consists only of chains with equal molecular weight. However, this never happens in a synthetic polymer, since it is difficult to control the polymerization process up to a molecular level with accuracy to a hundred percent.
3.5K
01:08Molecular Weight of Step-Growth Polymers
2.2K
Step growth polymerization involves bi or multifunctional monomers. Bifunctional monomers react to form linear step growth polymers, whereas multifunctional monomers react to form non-linear or branched polymers.
As the step-growth polymerization involves step-wise condensation of monomers, the molecular weight also builds up eventually. Consequently, high molecular weight polymers are obtained at the late stages of the polymerization, where 99% of monomers have been consumed.
The extent of the...
As the step-growth polymerization involves step-wise condensation of monomers, the molecular weight also builds up eventually. Consequently, high molecular weight polymers are obtained at the late stages of the polymerization, where 99% of monomers have been consumed.
The extent of the...
2.2K
01:21Polymer Classification: Crystallinity
2.9K
Unlike ionic or small covalent molecules, polymers do not form crystalline solids due to the diffusion limitations of their long-chain structures. However, polymers contain microscopic crystalline domains separated by amorphous domains.
Crystalline domains are the regions where polymer chains are aligned in an orderly manner and held together in proximity by intermolecular forces. For example, chains in the crystalline domains of polyethylene and nylon are bound together by van der Waals...
Crystalline domains are the regions where polymer chains are aligned in an orderly manner and held together in proximity by intermolecular forces. For example, chains in the crystalline domains of polyethylene and nylon are bound together by van der Waals...
2.9K
01:01Polymers: Defining Molecular Weight
2.9K
Unlike small molecules with definite molecular weights, polymers are a mixture of individual polymer chains of varying lengths, each with a unique molecular weight. So, the molecular weight of a polymer is expressed as an average value based on the average size of the polymer chains. The two most common forms of averages used for polymers are the number average molecular weight and weight average molecular weight.
The number average molecular weight (Mn) is the summation of the number...
The number average molecular weight (Mn) is the summation of the number...
2.9K
01:26Polymer Classification: Stereospecificity
2.5K
Polymerization generates chiral centers along the entire backbone of a polymer chain. Accordingly, the stereochemistry of the substituent group has a significant effect on polymer properties. Polymers formed from monosubstituted alkene monomers feature chiral carbons at every alternate position in the polymer backbone. Relative to the predominant orientation of substituents at the adjacent chiral carbons, the polymer can exist in three different configurations: isotactic, syndiotactic, and...
2.5K
01:03Step-Growth Polymerization: Overview
3.5K
Step-growth or condensation polymerization is a stepwise reaction of bi or multifunctional monomers to form long-chain polymers. As all the monomers are reactive, most of the monomers are consumed at the early stages of the reaction to form small chains of reactive oligomers, which then combine to form long polymer chains in the late stages. Hence, the reaction has to proceed for a long time to achieve high molecular weight polymers.
Many natural and synthetic polymers are produced by...
Many natural and synthetic polymers are produced by...
3.5K