Modeling of interphases in multiple heterogeneities reinforced composites using Voronoi cell finite elements
- PDF / 3,809,213 Bytes
- 15 Pages / 595.276 x 790.866 pts Page_size
- 92 Downloads / 179 Views
RESEARCH PAPER
Modeling of interphases in multiple heterogeneities reinforced composites using Voronoi cell finite elements Rui Zhang1 · Ting Wang1 · Ran Guo1 Received: 12 December 2019 / Revised: 22 March 2020 / Accepted: 1 June 2020 © The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract In this paper, a Voronoi cell finite element model is developed to study the microscopic and macroscopic mechanical behaviors of heterogenous materials, including arbitrary distributed heterogeneity (inclusions or fibers) coated with interphase layers, based on linear elasticity theory. The interphase between heterogeneity and a matrix are regarded as in the third phase (elastic layers), in contrast to the perfect interface of the spring-like Voronoi cell finite element model (VCFEM) in the literature. In this model, both stress and the displacement field are assumed to be independent in an element. Formulations of stress are derived for each of the three phases in an element, as is the type of functional. Numerical examples were used to study the microscopic and macroscopic properties, such as the effective modulus, of the composites. The results of the proposed VCFEM were compared with analytical solution and numerical results obtained from a standard finite element analysis to confirm its effectiveness. Keywords Voronoi cell finite element method · Interphase · Multiple fiber composites · Effective elastic property
1 Introduction The interface of composite materials has an important impact on their mechanical properties, and thus, has attracted considerable research interest. In early research, many scholars treated the strong bond between phases as a perfect interface. However, imperfect interfaces were encountered due to idiosyncrasies of the manufacturing process or the load. It is therefore important to study interface imperfections because they have a significant impact on the properties and the strength of composite materials. In recent years, researchers have paid more attention to the effect of the interface of composite materials. In general, the spring-layer interface model and interphase model are widely used to characterize the interface zone. The springlayer interface model considers the interface as a spring layer with zero thickness. Traction is assumed to be continuous on the interface, and is related to jumps in displacement. * Rui Zhang [email protected] * Ran Guo [email protected] 1
Engineering Mechanics Department of Kunming University of Science and Technology, Kunming 650500, China
The interphase in heterogenous materials was modeled as a thin layer of a material with special thickness between heterogeneity and a matrix. Interphases are formed due to chemical reactions between heterogeneity and the matrix, or protective coatings surrounding fibers or particles in materials. Although thin, the interphase has a significant effect on properties of the material, as has been reported in Ref. [1]. As a force transmission channel,
Data Loading...
