The embedded finite element technique provides a unique approach for modeling of fiber-reinforced composites. Meshing fibers as distinct bundles represented by truss elements embedded in a matrix material mesh allows for the assignment of more specific material properties for each component rather than homogenization of all the properties. This approach also allows for different damage and failure properties to be assigned the matrix and fiber materials which could provide new insight into the failure of the composite material, but also presents unique challenges in the implementation of the finite element method. Here, we present a proof-of-concept model of a plate of Dyneema under impact conditions using the embedded element method to represent the cross-ply fibers grouped into truss elements. We show that the embedded truss elements provide an easy way to implement the orthotropic material properties and transmit stress waves through the plate in a way that is consistent with images from experimental data.