Contact problem in biomechanics of bladder

The paper deals with an introduction to the modelling of the ureter contraction process in the bladder wall. In this contribution we limit ourselves to the plane case of the simplified mathematical model of this problem. The wall of bladder featured by non-linear elastic properties undertakes large strains. When fully extended the bladder attains the shape of a citron and ureter is full closure. Solving this problem the finite element method is applied for the space discretization of continuums and for the solution of a system of non-linear algebraic equations an iterative Newton-Raphson's method is used.