New effective moduli of isotropic viscoelastic composites. Part I. Theoretical justification

International Conference on Mechanical Engineering, Automation and Control Systems 2015

机械制造;无线电电子学;计算机科学

Svetashkov, A.A.^1 ; Vakurov, A.A.^1

National Research Tomsk Polytechnic University, 30, Lenina ave., Tomsk

634050, Russia^1

关键词: Composite solids;    Effective moduli;    Iterative transformation;    Temporal property;    Time function;    Two-component;    Viscoelastic composites;    Viscoelastic solids;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/124/1/012099/pdf
DOI  :  10.1088/1757-899X/124/1/012099

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

According to the approach based on the commonality of problems of determining effective moduli of composites and viscoelastic solids, which properties are time-inhomogeneous, it is assumed that a viscoelastic solid is a two-component composite. One component displays temporal properties defined by a pair of Castiglianian-type effective moduli, and the other is defined by a pair of Lagrangian-type effective moduli. The Voigt and Reuss averaging is performed for the obtained two-composite solid with the introduction of a time function of volume fraction. In order to determine closer estimates, a method of iterative transformation of time effective moduli is applied to the viscoelastic Voigt-Reuss model. The physical justification of the method is provided. As a result, new time effective moduli of the viscoelastic solid are obtained which give a closer estimate of temporal properties as compared to the known models.