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Models that consistently couple particle, electrode, and battery level mechanics and electrochemistry are rare in literature. Within a battery, there are hundreds of layers of electrodes and the inherent multiscale structure of electrodes makes battery level simulations computationally very expensive. This paper presents a multiscale homogenization method that couples mechanics and electrochemistry at the particle, electrode, and battery scales. The method is divided into two parts. Firstly, an electrochemical/mechanical model for a one-dimensional periodic element is applied to determine particle and electrode layer swelling as functions of time and position. Secondly, the layered structure of the battery is homogenized by the use of three-dimensional laminate theory. The homogenized material model can be applied in finite element calculations on the battery level. Layer level stresses can in a second step be back-calculated. The accuracy and efficiency of the method are demonstrated by comparisons to detailed finite element computations where each layer is individually modeled. Predictions of electrode layer stresses are also favorably compared to impedance measurements of electrode layers at different electrode positions. It is furthermore demonstrated that the effects of external battery loadings like battery stacks, casings, and external pressure easily can be captured by the model. • A multiscale homogenization method is presented. • Application of three-dimensional laminate theory to battery modeling. • Layer level stresses are back-calculated from the homogenized model. • Good agreements to detailed finite element computations and experiments. • Efficient method for battery level simulations. [ABSTRACT FROM AUTHOR]