On a tangential‐conforming finite element formulation for the relaxed micromorphic model in 2D

The relaxed micromorphic model is a generalized continuum that reduces the complexity of general theory [1] and shows many advantages such as bounded stiffness for small sizes [2–4]. It keeps full kinematics but employs matrix Curl operator second-order micro-distortion field curvature measurement. solution exists in H(curl) while displacement still H1. In this work, we introduce an H1 × finite element formulation model. presented mixed satisfies tangential continuity on boundaries. We compare convergence behavior with classical using numerical examples. Finally, show model's main characteristics scale-dependency components where gives different Cauchy elastic limit cases determined elasticity tensors.