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Mechanical Performance of Variable Stiffness Plates Subjected to Multiscale Defects



Novel manufacturing techniques that have arisen during the last decades have permitted to improve both the manufacturing quality and performance of laminates parts. Despite these improvements, such manufactured parts are not flaw-exempt, since uncertainty in the fabrication processes and in the material properties are still present. At the same time, numerical models that allow to describe the ground truth designs have been developed. Nevertheless, some defects have not been studied yet. This work aims to analyze the influence of spatially varying microscale defects on the mechanical performance of variable stiffness plates at both microscale and macroscale level. Attention has been paid to the usage of component-wise and layer-wise modeling, based on the Carrera Unified Formulation, to study the stochastic response of the micromechanical stresses and the macroscale buckling performance, respectively.


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Heinecke, F., and C. Willberg. 2019. "Manufacturing-induced imperfections in composite parts

manufactured via automated fiber placement.," Journal of Composite Science, 3(2), 56.

Dey, S., T. Mukhopadhyay and S. Adhikari. 2015. "Stochastic free vibration analysis of angle-ply

composite plates: A RS-HDMR approach.," Composite Structures, 122: 526:536

Sudret, B. and A. Der-Kiureghian. 2000. "Stochastic finite element methods and reliability.," Universitiy of

California, Berkeley.

Ghanem, R. and P. Spanos. 1991. Stochastic finite elements: a spectral approach. New York: Springer

International Publishing.

Guimaraes, T., H. Silva, D. Rade and C. Cesnik. 2020. "Aerolastic stability of conventional and towsteered

composite plates under stochastic fiber volume.," AIAA Journal, 58(6): 2748-2459.

Huang, S., S. Mahadevan and R. Rebba. 2007. "Collocation-based stochastic finite element analysis for

random field problems" Probabilistic Engineering Mechanics, 22(2): 194-205.

Carrera, E., M. Cinefra, M. Petrolo and E. Zappino. 2014. Finite Element Analysis of structures through

Unified Formulation. Wiley & Sons.

de Miguel, A., A. Pagani, W. Yu and E. Carrera. 2017. "Micromechanics of periodically heterogeneous

materials using higher-order beam theories and the mechanics of structure genome," Composite Structures,

: 484-496

Carrera, E., and M. Filippi. 2016. "A refined one-dimensional rotordynamics model with three-dimensional

capabilities.," Journal of Sound and Vibration, 366: 343-356.

Cinefra, M., M. Petrolo, G. Li and E. Carrera. 2017. "Variable kinematic shell elements for composite

laminates accounting for hygrothermal effects," Journal of Thermal Stresses, vol. 40(12): 1523-1544.

Vescovini, R., and L. Dozio. 2016. "A variable-kinematic model for variable stiffness plates: vibration and

buckling analysis," Composite Structures, 142: 15-26.

Viglietti, A., E. Zappino and E. Carrera. 2019. "Analysis of variable angle tow composites structures using

variable kinematics models," Composites Part B: Engineering, 171: 272-283.

Pagani, A., and A. Sanchez-Majano. 2020. "Influence of fiber misalignments on buckling performance of

variable stiffness composites using layerwise models and random fields," Mechanics of Advanced Materials

and Structures, 1:16

Pagani, A., and A. Sanchez-Majano, 2021. "Stochastic stress analysis and failure onset of variables angle

tow laminates affected by spatial fibre variations.," Composites Part C: Open Access, 4: 100091

Gordon, W., and C. Hall. 1973. "Transfinite element methods: Blending-function interpolation over

arbitrary curved element domains," Numerische Mathematik , 21: 109-129.

Wu, B., A. Pagani, W. Chen and E. Carrera. 2019. "Geometrically nonlinear refined shell theories by

Carrera Unified Formulation," Mechanics of Advanced Materials and Structures, 1-21.

Yu, W., and T. Tang. 2017. "Variational asymptotic method for unit cell homogenization of periodically

heterogeneous materials," International Journal of Solids and Structures, 44(11): 3738-3755.

Yu, W. 2016. "A unified theory for constitutive modeling of composites," Journal of Mechanics of

Materials and Structures, vol. 11(4): 1-32.

Betz,W., I. Papaioannou and D. Straub. 2014. "Numerical methods for the discretization of random fields

by means of the Karhunen–Loève expansion.," Computer Methods in Applied Mechanics and Engineering,

: 109-129.

Marelli, S., and B. Sudret. 2019. " UQLab user manual -- Polynomial chaos expansions," ETH Zurich,

Zurich, Switzerland, Zurich.

Reddy, J.N. 2004. Mechanics of laminated composite plates and shells: Theory and Analysis, Boca Raton:

CRC Press.

Gürdal, Z., and R. Olmedo. 1993."In-plane response of laminates with spatially varying fiber orientations -

Variable stiffness concept," AIAA Journal, 31(4): 751-758.

Smith, M. 2009. ABAQUS/Standard's User Manual, Version 6.9, Dassault Systèmes Simulia Corp.

Lekhnitskii, S. 1984. Anisotropic plates. New York: Gordon and Breach, Science Publishers.


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