Low Velocity Impact Responses of Functionally Graded Plates

The analysis of impact response for metal–ceramic functionally graded materials is important for the design of advanced impact resistance structures in aerospace, nuclear and mechanical industries. Here, we propose a dislocation-based continuum model to analyze elasto-plastic deformation of metal–ceramic functionally graded plates under low-velocity impact. The dislocation-based continuum model explicitly accounts for strengthening effects due to geometrically necessary dislocations and plastic strain gradient in impact analysis of metal–ceramic functionally graded plates by combining Taylor dislocation model and Tamura–Tomota–Ozowa (TTO) model. In the dislocation-based model, we describe the effective linear elastic properties of the metal–ceramic functionally graded plates based on the Mori–Tanaka scheme. We show from finite element simulations that particle-size-dependent elasto-plastic properties play important roles in determining the impact behavior of metal–ceramic functionally graded plates and provide a good prediction of diameters of after-impact impression compared to experiments on SiC/Al functionally graded circular plates.

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Stochastic low-velocity impact on functionally graded plates: Probabilistic and non-probabilistic uncertainty quantification

Composites Part B Engineering ◽

10.1016/j.compositesb.2018.09.066 ◽

2019 ◽

Vol 159 ◽

pp. 461-480 ◽

Cited By ~ 21

Author(s):

P.K. Karsh ◽

T. Mukhopadhyay ◽

S. Dey

Keyword(s):

Uncertainty Quantification ◽

Functionally Graded ◽

Low Velocity Impact ◽

Functionally Graded Plates ◽

Low Velocity ◽

Velocity Impact ◽

Probabilistic Uncertainty

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Finite Element Analyses on Low-velocity Impact Responses of Three-dimensional Braided Composites

Fibers and Polymers ◽

10.1007/s12221-021-0597-6 ◽

2021 ◽

Author(s):

Yuan-yuan Li ◽

Zheng-qiang Lyu ◽

Ping Wang ◽

Ya-lan Wang ◽

Ting Chen ◽

...

Keyword(s):

Finite Element ◽

Three Dimensional ◽

Low Velocity Impact ◽

Finite Element Analyses ◽

Braided Composites ◽

Low Velocity ◽

Velocity Impact ◽

Impact Responses

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Probabilistic Oblique Impact Analysis of Functionally Graded Plates – A Multivariate Adaptive Regression Splines Approach

European Journal of Computational Mechanics ◽

10.13052/ejcm2642-2085.30234 ◽

2021 ◽

Author(s):

P. K. Karsh ◽

Bindi Thakkar ◽

R. R. Kumar ◽

Vaishali ◽

Sudip Dey

Keyword(s):

Material Properties ◽

Mass Density ◽

Plate Thickness ◽

Functionally Graded ◽

Multivariate Adaptive Regression Splines ◽

Low Velocity Impact ◽

Fe Model ◽

Low Velocity ◽

Velocity Impact ◽

Mars Model

Purpose: To investigate the probabilistic low-velocity impact of functionally graded (FG) plate using the MARS model, considering uncertain system parameters. Design/methodology/application: The distribution of various material properties throughout FG plate thickness is calculated using power law. For finite element (FE) formulation, isoparametric elements with eight nodes are considered, each component has five degrees of freedom. The combined effect of variability in material properties such as elastic modulus, modulus of rigidity, Poisson’s ratio, and mass density are considered. The surrogate model is validated with the FE model represented by the scatter plot and the probability density function (PDF) plot based on Monte Carlo simulation (MCS). Findings: The outcome of the degree of stochasticity, impact angle, impactor’s velocity, impactor’s mass density, and point of impact on the maximum value of contact force (CFmax ), plate deformation (PDmax), and impactor deformation (IDmax ) are determined. A convergence study is also performed to determine the optimal number of the constructed MARS model’s sample size. Originality/value: The results illustrate the significant effects of uncertain input parameters on FGM plates’ low-velocity impact responses by employing a surrogate-based MARS model.

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Effect of the compatibilizer content on the quasi-static and low velocity impact responses of glass woven fabric/polypropylene composites

Polymer Composites ◽

10.1002/pc.23430 ◽

2015 ◽

Vol 37 (8) ◽

pp. 2452-2459 ◽

Cited By ~ 8

Author(s):

P. Russo ◽

G. Simeoli ◽

L. Sorrentino ◽

S. Iannace

Keyword(s):

Woven Fabric ◽

Low Velocity Impact ◽

Low Velocity ◽

Velocity Impact ◽

Polypropylene Composites ◽

Impact Responses

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Low-Velocity Impact on a Functionally Graded Circular Thin Plate

Volume 3: Dynamic Systems and Controls, Symposium on Design and Analysis of Advanced Structures, and Tribology ◽

10.1115/esda2006-95784 ◽

2006 ◽

Cited By ~ 1

Author(s):

Pantele Chelu ◽

Liviu Librescu

Keyword(s):

Plate Theory ◽

Equation System ◽

Functionally Graded ◽

Low Velocity Impact ◽

Thin Plates ◽

Low Velocity ◽

Alternative Analysis ◽

Velocity Impact ◽

Graded Material ◽

The Impact

In this paper, an alternative analysis strategy based on a Wavelet-Galerkin scheme specially tailored to solve impact problems of functionally graded orthotropic thin plates subjected to low-velocity impact is presented. The plate considered to be circular, is assumed to be clamped on its lateral edge and has internal supports of rigid, elastic and viscoelastic types. The material properties of the plate are represented in the form of exponential functions of the thickness coordinate. A rigid spherical indenter impacts the plate. The study is based on the classical lamination plate theory (CLT). An advanced contact law of the Hertzian type is adopted. A nonlinear Volterra integral equation system is obtained in the following unknown functions: the impact force and the dynamic reaction forces at the rigid, elastic and viscoelastic internal point supports. Numerical simulations displaying the contact force, the transversal displacement and the penetration depth are graphically presented, and pertinent conclusions regarding the implications of incorporation of graded material systems are outlined.

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