In order to effectively recognize the failure behaviour of the diesel particulate filter (DPF), a failure cusp catastrophe model of a porous medium filter in DPF was established using catastrophe theory and diffeomorphism transformation based on the flow resistance model of a porous medium filter with ash deposition. Then, critical points and singular points of the failure cusp catastrophe model were solved and the discriminant of the DPF failure cusp catastrophic model was obtained, which was used to recognize the failure behaviour of the DPF. Finally, failure or critical state details of DPF were acquired via calculation examples, and recognition results of the DPF failure behaviour were verified on the engine bench test. Recognition results of the failure state are consistent with the experimental ones, which confirms the validity of failure recognition based on the failure cusp catastrophe model of DPF, and provides a theoretical basis and reference for research on the failure prediction and diagnosis, as well as the anti-failure, of DPF.Keywords: catastrophe theory, diesel particulate filter, ash deposition, failure, recognition INTRODUCTION D iesel particulate filters (DPF) whose core component is a porous medium filter have been shown to significantly reduce particulate matter (PM) emissions from diesel engines. Further application of diesel particulate filters in automobiles is restricted due to the short life of the porous medium filter. Therefore, how to improve its durability and service life has become an urgent problem. To address this, the failure mechanism of the porous medium filter of DPF requires in-depth study.A key factor responsible for the failure of porous medium filters is pore blockage, which directly results from ash deposition in the channels of the filter. In the past 30 years, most studies have concentrated on the filter structure, capture performance, flow field characteristics, motion and deposition laws of particles and ashes, regeneration characteristics, and blockage of filter channels, [1,2] but research on diesel particulate filter failure is rare. Researchers have carried out theoretical and experimental studies on the ash deposition and pore clogging of porous medium filters, and have optimized their structure in order to extend their service life. Among experimental studies, a vehicle experimental study on the road loading a DPF found that ash comprises > 80 % of the sediment inside the filter.[3] The ash deposition process of DPF on heavy-duty diesel vehicles, physical and chemical properties of ash particles in channels of the porous medium filter, properties of the ash layer, and its effects on the capture performance and the regeneration characteristics of DPF were experimentally studied. [4][5][6] A rapid assessment method of DPF aging based on ash deposition was established. [7] For theoretical studies, a prediction model of exhaust back pressure in the DPF was established by Heibel and Bhargava based on the ash deposition and the regeneration characteristics.[8] To in...