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This paper is prepared in honour of Professor E.T. Brown for his outstanding contributions to rock me-chanics and geotechnical engineering and also for his personal influence on the first author’s research career in geomechanics and geotechnical engineering. As a result, we have picked a topic that reflects two key research areas in which Professor E.T. Brown has made seminal contributions over a long and distinguished career. These two areas are conced with the application of the critical state concept to modelling geomaterials and the analysis of underground excavation or tunnelling in geomaterials. Partially due to Professor Brown’s influence, the first author has also been conducting research in these two areas over many years. In particular, this paper aims to describe briefly the development of a unified critical state model for geomaterials together with an application to cavity contraction problems and tunnelling in soils.