This paper describes the use of isogeometric methods to solve problems in finite deformation solid mechanics in which compressible and nearly incompressible behavior may be encountered. The work is based on a three-field variational structures in which displacements, mean stress and volume effects are independently approximated. Using this approach and tensor product NURBS approximations it is shown how the solution can be conducted in a standard approach, where main variables are organized at nodes (control points). This leads to an efficient procedure to solve large problems of a general form without the need to develop special solution strategies. The approach is demonstrated on some standard test problems. Copyright © 2010 John Wiley & Sons, Ltd.