Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. (English) Zbl 0768.73082
A class of ‘assumed strain’ mixed finite element methods for fully nonlinear problems in solid mechanics is presented which, when restricted to geometrically linear problems, encompasses the classical method of incompatible modes as a particular case. The method relies crucially on a local multiplicative decomposition of the deformation gradient into a conforming and an enhanced part, formulated in the context of a three- field variational formulation. The resulting class of mixed methods provides a possible extension to the nonlinear regime of well-known incompatible mode formulations.
Keywords:
local multiplicative decomposition; deformation gradient; three-field variational formulationReferences:
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