Homogenization of heterogeneous polymers
type: Item
instance of: scholarly article
title: Homogenization of heterogeneous polymers
zbMATH Open document ID: 0976.74055
DOI: 10.1016/S0020-7683(98)00144-9
author: O. van der Sluis
author: P. H. J. Vosbeek
author: P. J. G. Schreurs
author: H. E. H. Meijer
published in: International Journal of Solids and Structures
publication date: 2001-12-30T00:00:00Z
review text: Composite materials are used for load carrying components in structures, since their mechanical properties, such as strength, stiffness, and toughness are being improved continuously. On the microscopic level, these materials reveal a structure in which different components can be distinguished. When developing new materials, insight in these phenomena is required. Relations between micromechanical failure and the macroscopic deformation behavior are necessary for predicting macroscopic properties from the microstructure. In this paper, a perforated polycarbonate plate is used as a model material. The mechanical behavior of the representative volume element is described by compressible Leonov model, which accounts for the time-dependent large strain behavior characteristic for solid polymers. At the macroscopic level, nonlinear elastic Cosserat mechanics is applied to the equivalent homogeneous material. It is shown how to determine the macroscopic constitutive equations for equivalent continuum. As applications, a tensile test on a single edge notched specimen is discussed and compared to direct simulations.
Mathematics Subject Classification ID: 74Q15
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1341395
zbMATH Keywords: homogenization
zbMATH Keywords: nonlinear elastic Cosserat mechanics
zbMATH Keywords: heterogeneous polymers
zbMATH Keywords: perforated polycarbonate plate
zbMATH Keywords: representative volume element
zbMATH Keywords: compressible Leonov model
zbMATH Keywords: equivalent homogeneous material
zbMATH Keywords: tensile test
zbMATH Keywords: single edge notched specimen
reviewed by: Marco Codegone
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1341395