A Unified Approach to Determining the Effective Physicomechanical Characteristics of Filled Polymer Composites Based on Variational Principles

An approach to solving the known problem on determination of the effective physical and mechanical properties of dispersedly filled compositions is presented. The solution is based on the formulation and numerical implementation of boundary-value problems based on the fundamental equations of the th...

Full description

Saved in:
Bibliographic Details
Published in:Mechanics of composite materials 2019-01, Vol.54 (6), p.775-788
Main Authors: Bochkareva, S. A., Grishaeva, N. Yu, Lyukshin, B. A., Lyukshin, P. A., Matolygina, N. Yu, Panin, S. V., Reutov, Yu. A.
Format: Article
Language:English
Subjects:
Analysis
Boundary value problems
Ceramics
Characterization and Evaluation of Materials
Chemistry and Materials Science
Classical Mechanics
Composite materials
Composites
Composition
Elasticity
Electric properties
Electrical conductivity
Electrical resistivity
Electromagnetism
Electrostatics
Finite element method
Glass
Internal energy
Materials Science
Mathematical models
Mechanical properties
Natural Materials
Polymer composites
Polymer industry
Polymer matrix composites
Polymers
Solid Mechanics
Thermal conductivity
Variational principles
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:An approach to solving the known problem on determination of the effective physical and mechanical properties of dispersedly filled compositions is presented. The solution is based on the formulation and numerical implementation of boundary-value problems based on the fundamental equations of the theories of elasticity, thermal conductivity, electrostatics, and electrical conductivity. The general concept is to obtain detailed parameters of state of the composition under external actions with account of the real structure of the material. Averaging procedures are used to determine the effective properties of the compositions. The formulation and solution of boundary-value problems, in all cases, is reduced to the formulation of corresponding variational principles and their implementation by the methods of computational mechanics, in particular, by the finite element method. The effective characteristics of the composite under mechanical, thermal, and electromagnetic actions are calculated on the basis of energy considerations: the stored energy of a structurally inhomogeneous body is equal to the energy of a homogeneous comparison body under various actions. A comparison of calculated and experimental values of the effective characteristics attests to the applicability of the models proposed and the methods of their implementation.
ISSN:0191-5665
1573-8922
DOI:10.1007/s11029-019-9782-8