TY - JOUR
T1 - Effective bending modulus of thin ply fibre composites with uniform fibre spacing
AU - Nourmohammadi, Nastaran
AU - O'Dowd, Noel P.
AU - Weaver, Paul M.
N1 - Publisher Copyright:
© 2020
PY - 2020/7
Y1 - 2020/7
N2 - Cauchy homogenisation methods are based on the assumption that materials show size independent behaviour. For example, the effective bending modulus of a beam is constant for all cross-sectional areas and is equal to the tensile modulus. However, as demonstrated by numerous authors, the stiffness of heterogenous materials under non uniform loading (e.g. bending) can be influenced by size effects, when the microstructural size scale is comparable to the macroscopic one. In other words, an effective elastic modulus can underestimate or overestimate the bending stiffness depending on the specimen size. In this work, the effect of the thickness dimension on the effective bending modulus of composite plies is investigated. The composite is represented by cylindrical fibres uniformly distributed in a uniform matrix. The cases of fibres stiffer and more compliant than the matrix are considered. The results show that the effective bending modulus depends on fibre volume fraction ratio, mismatch of fibre/matrix material properties and the number of fibres through the thickness. The implications for the analysis of bending of thin ply composites are discussed.
AB - Cauchy homogenisation methods are based on the assumption that materials show size independent behaviour. For example, the effective bending modulus of a beam is constant for all cross-sectional areas and is equal to the tensile modulus. However, as demonstrated by numerous authors, the stiffness of heterogenous materials under non uniform loading (e.g. bending) can be influenced by size effects, when the microstructural size scale is comparable to the macroscopic one. In other words, an effective elastic modulus can underestimate or overestimate the bending stiffness depending on the specimen size. In this work, the effect of the thickness dimension on the effective bending modulus of composite plies is investigated. The composite is represented by cylindrical fibres uniformly distributed in a uniform matrix. The cases of fibres stiffer and more compliant than the matrix are considered. The results show that the effective bending modulus depends on fibre volume fraction ratio, mismatch of fibre/matrix material properties and the number of fibres through the thickness. The implications for the analysis of bending of thin ply composites are discussed.
KW - Composite ply
KW - Effective bending modulus
KW - Homogenisation
KW - Length scale
UR - http://www.scopus.com/inward/record.url?scp=85083662129&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2020.04.004
DO - 10.1016/j.ijsolstr.2020.04.004
M3 - Article
AN - SCOPUS:85083662129
SN - 0020-7683
VL - 196-197
SP - 26
EP - 40
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
ER -