Stress-diffusion interactions in electrodes of Li-ion batteries is a complex phenomenon. The diffusion of Li-ions into electrodes results in non-uniform mechanical deformation leading to stress generation within the electrode. The stresses in turn have a potential to influence the diffusion process in electrodes. This effect of stress induced diffusion (SID) is an important aspect to consider since it brings about a change in diffusive flux of Li-ions as a result of which the electrochemical response of the battery also gets affected. There is a gap in understanding the effect of SID on new generation electrode materials like Si which show time dependent constitutive response. Thus, a two-way coupled chemo-viscoelastic mathematical model and a numerical framework is developed in order to characterise the two-way stress-diffusion interactions. The numerical framework has been constructed using the Finite Element Method in an open source C++ library called deal. ii. Thereafter, simulations are performed for one-way coupled chemo-viscoelastic model and two-way coupled chemo-viscoelastic model to investigate the SID effects on concentration distribution and stress response of viscoelastic electrode particles. Further, comparative studies between elastic and viscoelastic models are conducted to understand the difference in mechanical behavior of elastic and viscoelastic materials in influencing the two way stress-diffusion interactions.