For design to be more safe, dynamic fracture toughness (DFT) of material needs to be determined. Compared to static loading, dynamic loading procedures are not well established. Calculation of DFT is complicated and costly. Failure process of structures is greatly influenced by dynamic loading. In the past only steel and cast iron were employed for structure design purposes but now many new materials such as (a) composite, (b) alloys (titanium, magnesium), (c) ceramic, (d) concrete, and (e) brittle materials are being used. DFT calculations of materials under dynamic loading have resulted in new theories and experimental techniques. In this paper a critical review of the developments for the calculation of DFT for the materials is presented.