Electronic Theses and Dissertations

Date of Award


Document Type


Degree Name

M.S. in Engineering Science

First Advisor

Arunachalam M. Rajendran

Second Advisor

Aaron Joy

Third Advisor

Shan Jiang


University of Mississippi

Relational Format



Modeling and simulation of a metallic flyer plate impacting a woven glass-fiber reinforced plastic (GRP) plate at different velocities was performed using the ALE3D© finite element code. The one-dimensional strain-based shock wave propagation experimental data in terms of time history of GRP’s back surface material particle velocity, available in open literature [1], were utilized in the calibration of a continuum damage mechanics (CDM) model. The experimental data included D7 Tool Steel and 7075-T6 aluminum flyer plates and two different GRP thicknesses (6.8 mm or 13.6 mm) with varying impact velocities in the range of about 8.5 m/s to 418 m/s. For the sake of simplicity, the finite element model considered in the simulations was a planar 0/90 bidirectional plies with a thickness of 0.68 mm stacked to reach the total laminate thicknesses. The computational model used the same fiber volume fraction for the GRP target plate as in the experiments. To match measured particle velocities, the experimentally determined tetragonal symmetry stiffness matrix for the GRP and a hyperelastic continuum damage model to describe the inelastic strains were employed in ALE3D simulations. The modeling efforts also included an investigation on the influence of parameters such as impact velocities, flyer material, and GRP thickness on the free surface particle velocity histories. The damage model realistically captured several salient features of the experimental wave profiles in terms of the shock rise time and the shape of “plastic” portions beyond the Hugoniot Elastic Limit (HEL). The computational results further demonstrated the capability of a CDM based hyperelastic damage model under shear and compressive loading conditions in reproducing the inelastic portions observed in the measured particle velocity profiles.



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