BACKGROUND: Existing issues with student mental health are the sources of ongoing violation of academic and educational integrity in learning and instructional dynamics in all educational institutions worldwide. OBJECTIVE: This didactical paper addresses the practical case of educational integrity violations induced by student mental illness. It presents a thought-provoking unified viewpoint of the existence of a non-obvious geometric analogy between the irreversible psycho-social process of mental disorder growth and the irreversible pressure forming-induced deformation process of materials extrusion through an angular domain. METHODS: This paper uses the method of geometric analogy between the dynamics of social irreversible processes in human society and technical irreversible processes in materials extrusion. RESULTS: The novel analogy between the loss of elliptical shape of an initial circular material element within pressure-extruded material and the development of student mental inadequacy during intensive university education was firstly studied and analyzed in detail. CONCLUSIONS: The author-proposed original socio-technical cross-disciplinary analogy improves and broadens student understanding of nonlinear dynamics both in the technical processes of macroscopic rotation formation in pressure-formed material and in the bio-social processes of psycho-neurological pathology development within a learner’s mind.