Numerical modeling of nonlinear deformation of polymer composites based on hyperelastic constitutive law

doi:10.1007/s11465-009-0067-0

Front Mech Eng Chin

2009, Vol. 4

Issue (3) : 284-288 https://doi.org/10.1007/s11465-009-0067-0

RESEARCH ARTICLE

Numerical modeling of nonlinear deformation of polymer composites based on hyperelastic constitutive law

Qingsheng YANG(

), Fang XU

Department of Engineering Mechanics, Beijing University of Technology, Beijing 100124, China

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Abstract

Fiber reinforced polymer (FRP) composites exhibit nonlinear and hyperelastic characteristics under finite deformation. This paper investigates the macroscopic hyperelastic behavior of fiber reinforced polymer composites using a micromechanical model and finite deformation theory based on the hyperelastic constitutive law. The local stress and deformation of a representative volume element are calculated by the nonlinear finite element method. Then, an averaging procedure is used to find the homogenized stress and strain, and the macroscopic stress-strain curves are obtained. Numerical examples are given to demonstrate hyperelastic behavior and deformation of the composites, and the effects of the distribution pattern of fibers are also investigated to model the mechanical behavior of FRP composites.

Keywords composites hyperelastic finite deformation homogenization micromechanics

Corresponding Author(s): YANG Qingsheng,Email:qsyang@bjut.edu.cn

Issue Date: 05 September 2009

Cite this article:

Qingsheng YANG,Fang XU. Numerical modeling of nonlinear deformation of polymer composites based on hyperelastic constitutive law[J]. Front Mech Eng Chin, 2009, 4(3): 284-288.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-009-0067-0
https://academic.hep.com.cn/fme/EN/Y2009/V4/I3/284

Fig.1 Model. (a) Single fiber model; (b) fiber bundle model

Fig.2 Constraint condition. (a ) Single fiber model; (b ) constraint condition

Fig.3 Deformation of single fiber RVE (a) and of fiber bundle RVE (b)

Fig.4 Effective stress-stretch curves for GFRP. (a) Glass fiber composite; (b) carbon fiber composite

Fig.5 Effective strefss-stretch curves for GFBRP. (a) Glass fiber bundle composite; (b) carbon fiber bundle composite

Fig.6 Effective stress-stretch curves for GFRP. (a) Glass fiber; (b) carbon fiber

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