Simulation of linear elastic structural elements using the Petrov–Galerkin finite element method

Abstract In this contribution, it is demonstrated that the mesh sensitivity of linear elastic Reissner–Mindlin finite‐element plate formulations can be significantly reduced by using a Petrov–Galerkin‐based approach. contrast to usual Bubnov–Galerkin method, Petrov–Galerkin methods are generally characterized fact test function and trial approximated different shape functions. To provide an overview, established for 2D solid elements, which have been shown reduce sensitivity, reviewed first. It then investigated whether suitable Petrov– Galerkin formulation developed. context, full method leads problems in treatment transverse shear locking. However, proposed partial shows desired mesh‐insensitive behavior.