Continuous compression molding machines and methods of continuous compression molding a consolidated thermoplastic matrix composite material

Continuous compression molding machines (CCMMs) and methods of continuous compression molding a consolidated thermoplastic matrix composite material are disclosed herein. The CCMMs include a mold, a heat zone heating structure, a consolidation zone heating structure, and a stress relaxation zone heating structure. The CCMMs also include a press structure, a demold structure, and a supply structure. The methods include providing a thermoplastic matrix composite material (TMCM) that includes a thermoplastic material to a CCMM. During the providing, the methods also include heating the TMCM within a heat zone of the CCMM, cooling and consolidating the TMCM within a consolidation zone of the CCMM, relaxing stress within the TMCM within a stress relaxation zone of the CCMM, demolding the TMCM within a demold zone of the CCMM at a mold temperature that is greater than a glass transition temperature of the thermoplastic material, and periodically compressing the TMCM.