p-FEM is locking-free for finite strain hyperelasticity

The p-version of the finite element method based on the displacement formulation is known to be free from volumetric locking beyond a moderate polynomial order for nearly-incompressible problems in linear elasticity, as was shown by Babuska Suri [4,5] and Suri [6] . Informally, locking means that the numerical solution deteriorates as a characteristic parameter approaches a critical limit – e.g. for volumetric locking in linear elasticity as the Poisson ratio ? approaches 0.5. We demonstrate that the volumetric locking-free property of the p-version carries over to finite-deformation analysis of nearly incompressible Neo-Hookean materials.     «

The p-version of the finite element method based on the displacement formulation is known to be free from volumetric locking beyond a moderate polynomial order for nearly-incompressible problems in linear elasticity, as was shown by Babuska Suri [4,5] and Suri [6] . Informally, locking means that the numerical solution deteriorates as a characteristic parameter approaches a critical limit – e.g. for volumetric locking in linear elasticity as the Poisson ratio ? approaches 0.5. We demonstrate tha...     »