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This study developed a material model with a damage function that supports finite element analyses in crash strength analyses of beams manufactured using randomly-oriented long fiber thermoplastics composites. These materials are composites with randomly-oriented carbon tow having a fiber length of approximately one inch, and are isotropic in-plane from a macro perspective, but exhibit different damage properties for tension and compression. In the out-of-plane direction, the influence of the resin matrix properties increases, and the materials properties are similar to those of laminate materials. This means they are anisotropic materials with physical properties that differ from those in the in-plane direction. In order to verify the influence of these characteristics, the damage process was observed by three-point bending of a flat plate, which is a mixed mode that includes tension, compression, and out-of-plane shear.