Surging glaciers II: mathematically exact two-dimensional stress tensor fields

The linear boundary value problem for the stress tensor field S in a glacier is considered. This problem is determined by the balance of forces and of torques inside the glacier and by vanishing stresses at the free surface. A mathematically exact two-dimensional general solution S of this problem is developed, depending on its arbitrarily prescribed deviatoric longitudinal stress component. We complement a paper `Surging Glaciers I' (Halfar in ActaMech, 2020) and detail results spelled out there. Furthermore, an alternative exact expression of S is outlined, depending on the arbitrarily prescribed longitudinal stress component.