An inverse procedure for determination of material constants of composite laminates using elastic waves

Liu, G.R; Ma, Weihua; Han, Xu

doi:10.1016/s0045-7825(02)00292-x

Cited by 58 publications

(22 citation statements)

References 13 publications

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“…4. This application is in part based on the previous works of Liu and Han [5], Liu et al [34], and Han and Liu [35] on material determination of composites using elastic waves. In these works, the load applied to the plate is deterministic.…”

Section: Application To Materials Characterization Of Composite Laminatesmentioning

confidence: 99%

A Novel Method for Uncertainty Inverse Problems and Application to Material Characterization of Composites

2007

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A novel method is suggested to deal with socalled uncertainty inverse problems (UIPs) which are a class of inverse problems with uncertainty in the system parameters of the forward model. Interval which represents a closed bounded set of real numbers is used to model and characterize the uncertainty in our formulation, and hence only the bounds of the uncertainty of the system parameters are needed. For a specific input vector, the possible values of the outputs form an interval vector because of the uncertainty. An error function is defined using the measured interval vector of the outputs and those computed using a forward model. The UIP is then formulated as an optimization problem which minimizes the error function. To improve the optimization efficiency, an interval forward model is constructed based on the interval analysis method which can calculate very efficiently the bounds of the outputs caused by the uncertainty of the system parameters. The present method is applied to a complex inverse problem, namely material characterization of composite laminates using elastic waves. Uncertainty of load is considered, and the hybrid numerical method (HNM) is used to compute the transient displacement responses. The engineering constants of two kinds of laminates are successfully identified using the simulated measurements of the outputs.

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Section: Application To Materials Characterization Of Composite Laminatesmentioning

confidence: 99%

A Novel Method for Uncertainty Inverse Problems and Application to Material Characterization of Composites

2007

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“…The Classical Lamination Theory and three-mode Rayleigh formulation optimized with objective function of sum of square difference of experimental and numerical frequencies are used in their work. Liu et al [10] used an advanced neural network algorithm as optimization algorithm in their proposed inverse method to determine nonhomogenous properties of composite laminates. They used displacement response of surfaces due to linear loading as experimental data and Hybrid Numerical Method (HNM) as direct solution for evaluating the dynamic response of surfaces.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity Analysis of a CPAM Inverse Algorithm for Composite Laminates Characterization

Masoumi

Ghasemi-Ghalebahman

2017

Shock and Vibration

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Using experimental data and numerical simulations, a new combined technique is presented for characterization of thin and thick orthotropic composite laminates. Four or five elastic constants, as well as ply orientation angles, are considered as the unknown parameters. The material characterization is first examined for isotropic plates under different boundary conditions to evaluate the method's accuracy. The proposed algorithm, so-called CPAM (Combined Programs of ABAQUS and MATLAB), utilizes an optimization procedure and makes simultaneous use of vibration test data together with their corresponding numerical solutions. The numerical solutions are based on a commercial finite element package for efficiently identifying the material properties. An inverse method based on particle swarm optimization algorithm is further provided using MATLAB software. The error function to be minimized is the sum of squared differences between experimental and simulated data of eigenfrequencies. To evaluate the robustness of the model's results in the presence of uncertainty and unwanted noises, a sensitivity analysis that employs Gaussian disorder model is directly applied to the measured frequencies. The results with high accuracy confirm the validity and capability of the present method in simultaneous determination of mechanical constants and fiber orientation angles of composite laminates as compared to prior methods.

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“…The minimization is achieved in the course of elastic constants variation using various stochastic-based metaheuristic approaches, such as genetic algorithms (GA) [14,15]. In general, two types of GW characteristics are used.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of effective elastic properties of layered composite fiber-reinforced plastic plates by piezoelectrically induced guided waves and laser Doppler vibrometry

Eremin

Глушков

Glushkova

et al. 2015

Composite Structures

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An inverse procedure for determination of material constants of composite laminates using elastic waves

Cited by 58 publications

References 13 publications

A Novel Method for Uncertainty Inverse Problems and Application to Material Characterization of Composites

A Novel Method for Uncertainty Inverse Problems and Application to Material Characterization of Composites

Sensitivity Analysis of a CPAM Inverse Algorithm for Composite Laminates Characterization

Evaluation of effective elastic properties of layered composite fiber-reinforced plastic plates by piezoelectrically induced guided waves and laser Doppler vibrometry

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