Contents lists available at ScienceDirect
Composite Structures
journal homepage: www.elsevier.com/locate/compstruct
Deriving unidirectional lamina properties from testing on cylindrical
laminated specimens
P.B. Ataabadi
a,
⁎
, D. Karagiozova
b
, M.H. Shaterzadeh
a
, M. Alves
a
a
Group of Solid Mechanics and Structural Impact, Department of Mechatronics and Mechanical Systems Engineering, University of Sao Paulo, Sao Paulo 05508900, Brazil
b
Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev St., Block 4, Sofia 1113, Bulgaria
ARTICLEINFO
Keywords:
Material characterization
Laminate properties
UD lamina properties
Shear fixture
Non-flat specimens
ABSTRACT
The present work aims to derive the mechanical properties of a unidirectional (UD) lamina from experi-
mentally measured properties of non-flat (cylindrical) laminated specimens. The specimens were cut from
carbon fiber-epoxy tubes having cross-ply and angle-ply layup configurations. Special tests were designed and
applied on these specimens to measure the mechanical properties of the laminate, E
x
, E
y
, ν
xy,
G
xy,
as well as
tensile and shear failure strength. By using the classical laminate theory (CLT), the mechanical properties of
UD lamina, E
1
, E
2
, ν
12
and G
12
were expressed explicitly as functions of the measured properties of the cross-
ply laminate and in form of effective mechanical properties of general lamination configuration like the angle-
ply layup. A new shear test fixture was designed in order to obtain the in-plane shear modulus and shear
strength of ring-shaped composite specimens. This shear test fixture has proved to be advantageous, especially
when one bears in mind that there are very few shear test methods for cylindrical components. The outcomes
of this work would be useful for material characterization and quality control when standard flat coupons are
not available.
1. Introduction
The mechanical properties of a lamina, such as elastic moduli,
Poisson’s ratio, in-plane shear modulus and failure strengths, are
basic requirements to model the behavior of composite materials and
analyze laminated structures, numerically and/or theoretically.
Standard flat unidirectional (UD) specimens are used to measure the
elastic mechanical properties and failure strength of composites ac-
cording to the well-known test standards [1,2]. In structural appli-
cations, however, multidirectional lay-ups, cross-ply, angle-ply and
quasi-isotropic, are more desired than unidirectional lay-up, com-
prising only isolated UD plies from differently orientated plies. It has
been argued, however, that the properties of individual laminae in a
multidirectional lay-up configuration, called in-situ properties, could
be thoroughly different from UD lamina properties measured by
testing on unidirectional specimens [3–5]. Testing of multidirectional
specimens, especially cross-ply specimens, has been reported to assist
the improvement of the failure strength characterization of UD la-
mina and reduction of data scatters by using a back-out calculation
[4,5]. In the back-out calculation, the lamina failure strength is re-
versed from multidirectional laminate strength by using available
back out factors [5–7].
The lower failure strength of the multidirectional, angle-ply or
cross-ply, composite specimens in comparison with the unidirec-
tional laminated specimens [5] and more robust lay-up of cross-ply
specimens [4], brings several advantages leading to a more reliable
measurement of the failure strength. For instance, the gripping
force on tensile specimens, which may be responsible for premature
failure modes in composite materials, is somewhat proportional to
failure load. Therefore, the lower failure strength (failure load) of
multidirectional specimens can help to avoid premature failure and
measure the failure strength more accurately. Since multi-
directional laminate fails at lower strengths, the results are less
sensitive to the specimen preparation (in some case un-tapped
specimens are allowed [5]) thus leading eventually to a lower data
scatter as it has been reported for strength measurement [3,5,8].
The main advantage of testing on multidirectional specimens and
back-out calculation could be, that the specimens having multi-
directional layups more closely represent those in the laminates of
actual structural components as the laminae may respond differ-
ently to the loads when the surrounding plies are of different or-
ientations [8].
The classical laminate theory has been utilized to find the ex-
tensional and bending stiffness constants of laminate structures
https://doi.org/10.1016/j.compstruct.2020.112382
Received 9 April 2019; Received in revised form 27 February 2020; Accepted 14 April 2020
⁎
Corresponding author.
E-mail address: Pouriabahrami@usp.br (P.B. Ataabadi).
Composite Structures 245 (2020) 112382
Available online 18 April 2020
0263-8223/ © 2020 Elsevier Ltd. All rights reserved.
T