scholarly journals Multiscale Simulation of Semi-Crystalline Polymers to Predict Mechanical Properties

Polymers ◽  
2021 ◽  
Vol 13 (19) ◽  
pp. 3233
Author(s):  
Tobias Daniel Horn ◽  
Dario Heidrich ◽  
Hans Wulf ◽  
Michael Gehde ◽  
Jörn Ihlemann

A multiscale simulation method for the determination of mechanical properties of semi-crystalline polymers is presented. First, a four-phase model of crystallization of semi-crystalline polymers is introduced, which is based on the crystallization model of Strobl. From this, a simulation on the nanoscale is derived, which models the formation of lamellae and spherulites during the cooling of the polymer by using a cellular automaton. In the solidified state, mechanical properties are assigned to the formed phases and thus the mechanical behavior of the nanoscale is determined by a finite element (FE) simulation. At this scale, simulations can only be performed up to a simulation range of a few square micrometers. Therefore, the dependence of the mechanical properties on the degree of crystallization is determined by means of homogenization. At the microscale, the cooling of the polymer is simulated by a cellular automaton according to evolution equations. In combination with the mechanical properties determined by homogenization, the mechanical behavior of a macroscopic component can be predicted.

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Shengwei Li ◽  
Heping Xie ◽  
Ru Zhang ◽  
Mingzhong Gao ◽  
Zetian Zhang ◽  
...  

To study the micro/mesomechanical behaviors of heterogeneous geomaterials, a multiscale simulation method that combines molecular simulation at the microscale, a mesoscale analysis of polished slices, and finite element numerical simulation is proposed. By processing the mesostructure images obtained from analyzing the polished slices of heterogeneous geomaterials and mapping them onto finite element meshes, a numerical model that more accurately reflects the mesostructures of heterogeneous geomaterials was established by combining the results with the microscale mechanical properties of geomaterials obtained from the molecular simulation. This model was then used to analyze the mechanical behaviors of heterogeneous materials. Because kernstone is a typical heterogeneous material that comprises many types of mineral crystals, it was used for the micro/mesoscale mechanical behavior analysis in this paper using the proposed method. The results suggest that the proposed method can be used to accurately and effectively study the mechanical behaviors of heterogeneous geomaterials at the micro/mesoscales.


RSC Advances ◽  
2016 ◽  
Vol 6 (48) ◽  
pp. 41734-41742 ◽  
Author(s):  
Shengwei Deng ◽  
Sanal Sebastian Payyappilly ◽  
Yongmin Huang ◽  
Honglai Liu

The morphologies of binary polymer blends under shear and corresponding mechanical behavior are correlated by sequential mesoscopic simulation method.


2010 ◽  
Vol 44-47 ◽  
pp. 2712-2716
Author(s):  
Ying Chun Liang ◽  
Xing Lei Hu ◽  
Jia Xuan Chen ◽  
Hong Min Pen

Nanometric uniaxial tension tests of single crystal copper nanorod are simulated using multiscale simulation method, which has combined molecular dynamics (MD) and finite element method (FEM). New tension models of nanorod are constructed. Tension processes of ideal nanorod without notches and that with notches are performed to analyze their mechanical properties. Deformation mechanism of tension process is discussed in detail. Yield strength and elastic modulus are calculated according to the obtained stress-strain curves. Finally, the results show that the notches have obvious influence on the mechanical properties of copper nanorod. Due to the existence of notches, the section area of single crystal nanorod decreases by 40%; however, the yield strength and elastic modulus decreases by 39.0% and 10.2% respectively in our simulations. This research is helpful for identifying the mechanical properties of single crystal copper nanorod, and for understanding the deformation mechanism of tension process of nanorod.


2015 ◽  
Vol 10 (2) ◽  
pp. 2753-2761
Author(s):  
Saad El Madani ◽  
S. ELHAMZI ◽  
A. IBNLFASSI ◽  
L. ZERROUK ◽  
O. BEN LENDA ◽  
...  

In order to master and improve the quality and properties of the final products, the major industrial challenge lies in the possibility of controlling the morphology, size of microstructures that reside within the molded pieces, as well as their defects; this is the fundamental reason according to which we are more and more interested in mastering the growth and germination of such alloys, as well as the developing structures, at the time of solidification process. The modeling reveals as a valuable aid in the mastery of the formation of such heterogeneousness: segregation cells that are incompatible with industrial requirements.   The whole work focuses upon the modeling of the segregation phenomenon of the four hypoeutectic alloys, Al1%Cu, Al2%Cu, Al3%Cu et Al4%Cu, as well as the copper effect upon certain mechanical properties of aluminum. Usually, the microstructure and mechanical behavior of such alloys as Al-Cu are directly influenced by some parameters such as composition, cooling velocity and homogenization process.


2014 ◽  
Vol 62 (1) ◽  
pp. 129-137
Author(s):  
A. Sawicki ◽  
J. Mierczyński

Abstract A basic set of experiments for the determination of mechanical properties of sands is described. This includes the determination of basic physical and mechanical properties, as conventionally applied in soil mechanics, as well as some additional experiments, which provide further information on mechanical properties of granular soils. These additional experiments allow for determination of steady state and instability lines, stress-strain relations for isotropic loading and pure shearing, and simple cyclic shearing tests. Unconventional oedometric experiments are also presented. Necessary laboratory equipment is described, which includes a triaxial apparatus equipped with local strain gauges, an oedometer capable of measuring lateral stresses and a simple cyclic shearing apparatus. The above experiments provide additional information on soil’s properties, which is useful in studying the following phenomena: pre-failure deformations of sand including cyclic loading compaction, pore-pressure generation and liquefaction, both static and caused by cyclic loadings, the effect of sand initial anisotropy and various instabilities. An important feature of the experiments described is that they make it possible to determine the initial state of sand, defined as either contractive or dilative. Experimental results for the “Gdynia” model sand are shown.


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