The interaction between cell and micro/nanomaterial plays an important role in physiological and pathological processes of organism, such as cellular uptake of nanoparticle via recepoter-mediated endocytosis, cell adhesion and infecting host bacteria with phage. Hence, the physical mechanism of cell-micro/nanomaterial interaction is of great interest to advancing our fundamental biological understandings as well as many pratical applications in fields such as drug delivery. However, there are many complex biophysical factors involving in cell-micro/nanomaterial interaction, such as deformations of cell membrane and cytoskeleton, diffusion of mobile receptor on the cell membrane, stochastic reaction between receptor and ligand, DNA chain thermal disturbance and elastic deformation of matrix and viral capsid. To enable research on the mechanical mechanism of cell-materials interaction, it is essential to understand the underlying coupling mechanism of such complex biophysical factors. Therefore, in this thesis, we make an attempt to address this issue by developing a series of coupled cell-micro/nanomaterial interaction models based on continuum mechanics and statistical mechanics. Using these models gives some results as following:(1) By considering the coupled effects of cell membrane and cytoskeleton deformation, receptor diffusion, ligand-receptor binding, we suggested a coupled elasticity-diffusion model of cellular uptake of nanoparticles (NPs) based on continuum mechanics and statistical mechanics. We show the different regimes on cellular uptake of NPs recognized in terms of normalized initial receptor density, such as receptor diffusion-limited, receptor diffusion and cytoskeleton deformation-limited, cytoskeleton deformation-limited. The dymanics of cylinder NPs entey into cells is analysised. CNPs preferred or tended to vertically attack target cells until they are stuck in the cytoskeleton as implied by the speed of vertically oriented CNPs that show much faster initial engulfing speeds that horizontally oriented CNPs. These results elucidated the most recent molecular dynamics simulations and experimental observations on the cellular uptake of carbon nanotubes and phagocytosis of filamentous Escherichia coli bacteria. In the cased of combining impact of receptor diffusion and cytoskeleton deformation, the resistance to NPs entry into cells is described. It is also found that the cytoskeleton creep affects the cellular uptake of NPs if the re...