p-Extension of C0 continuous mixed finite elements for plane strain gradient elasticity

S. Markolefas, T.K. Papathanasiou & S.K. Georgantzinos
A mixed finite element formulation is developed for the general 2D plane strain, linear isotropic gradient elasticity problem. Form II of the dipolar strain gradient theory for micro-structured solids is considered. The main variables are the double stress tensor μ and the displacement field vector u. Standard C0−continuous, high polynomial order hierarchical basis functions are employed for the finite element solution spaces (p-extension). The formulation is numerically validated against the standard axial tension patch test...
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