Abstract
In this paper, the Mooney-Rivlin model is employed as the hyperelastic potential function and three methods are discussed for introducing the incompressibility constraint in FE formulation, i. e., the Lagrange multiplier method, the penalty method, and the mixed interpolation with projection, which incorporates the features of the former two methods. Their similarities and differences are also pointed out. Then basic problems are systematically analyzed using these mixed finite elements and performance-based comparisons of resultant numerical behaviors are subsequently applied to clarify the desirable characteristics required to carry out reliable finite element analysis of incompressible hyperelastic materials
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