TY - JOUR
T1 - Modeling bending behavior of shape memory alloy wire-reinforced composites
T2 - Semi-analytical model and finite element analysis
AU - VIET, Nguyen Van
AU - ZAKI, Wael
N1 - Funding Information:
Dr. Wael Zaki would like to acknowledge the financial support of Khalifa University through research grant No. CIRA 2019-024.
Publisher Copyright:
© 2021 Chinese Society of Aeronautics and Astronautics
PY - 2021/8
Y1 - 2021/8
N2 - In this study, we propose a novel and simple exact semi-analytical model for superelastic Shape Memory Alloy (SMA) wire reinforced composites subjected to bending loads. In order to study the mechanical response of the composite during loading/unloading, a Representative Volume Element (RVE) is extracted to examine the bending response of the composite. Analytical moment–curvature, and shear force-shear strain relations are derived based on a 3-Dimensional (3D) thermomechanical SMA model and Timoshenko beam theory. The composite Simpson's rule is adopted to numerically solve the exact analytical moment–curvature and shear force-shear strain relationships. Results including the moment–curvature response, axial stress distribution along the vertical and longitudinal directions, martensite volume fraction, and the tip deflection are reported and validated against 3D finite element simulations. The influence of temperature, martensite volume fraction distribution, and matrix stiffness on the mechanical performance of the composite is also investigated. In particular, the composite is found to behave superelastically under certain conditions of temperature, SMA volume fraction, and elastic stiffness of the matrix. Such behavior is advantageous in applications requiring large recoverable strains or high energy dissipation density.
AB - In this study, we propose a novel and simple exact semi-analytical model for superelastic Shape Memory Alloy (SMA) wire reinforced composites subjected to bending loads. In order to study the mechanical response of the composite during loading/unloading, a Representative Volume Element (RVE) is extracted to examine the bending response of the composite. Analytical moment–curvature, and shear force-shear strain relations are derived based on a 3-Dimensional (3D) thermomechanical SMA model and Timoshenko beam theory. The composite Simpson's rule is adopted to numerically solve the exact analytical moment–curvature and shear force-shear strain relationships. Results including the moment–curvature response, axial stress distribution along the vertical and longitudinal directions, martensite volume fraction, and the tip deflection are reported and validated against 3D finite element simulations. The influence of temperature, martensite volume fraction distribution, and matrix stiffness on the mechanical performance of the composite is also investigated. In particular, the composite is found to behave superelastically under certain conditions of temperature, SMA volume fraction, and elastic stiffness of the matrix. Such behavior is advantageous in applications requiring large recoverable strains or high energy dissipation density.
KW - Bending
KW - Finite element analysis
KW - Modelling
KW - Phase transformation
KW - Shape memory alloy reinforced composite
KW - Superelasticity
UR - http://www.scopus.com/inward/record.url?scp=85107962999&partnerID=8YFLogxK
U2 - 10.1016/j.cja.2021.01.004
DO - 10.1016/j.cja.2021.01.004
M3 - Article
AN - SCOPUS:85107962999
SN - 1000-9361
VL - 34
SP - 176
EP - 191
JO - Chinese Journal of Aeronautics
JF - Chinese Journal of Aeronautics
IS - 8
ER -