Abstract
Incompressible hyper-elastic deformation is analyzed by FEM (Finite Element Method) based on GLS (Galerkin/Least-Squares) method. The incompressible condition is introduced by Lagrange multiplier method, and stabilizing term is obtained from the least squares of Euler’s equation of the functional on reference configuration. This method can use same interpolation function for displacement and pressure. Linear elements are used for two and three dimensional large deformation process by this method. The plane strain block compression problem is analyzed, and influence of stabilizing parameter is discussed. Three dimensional torsion-compression of slender rod is also calculated. Bending process after one-revolution twisting is simulated by linear elements. It is clarified that the GLS method can calculate severe deformation of hyper-elastic material, and good correlation beteen reference solution of past studies obtained from mixed interpolation FEM was found.
