A smoothed finite element method for plate analysis
A quadrilateral element with smoothed curvatures for MindlinReissner plates is proposed. The curvature at each point is obtained by a non-local approximation via a smoothing function. The bending stiffness matrix is calculated by a boundary integral along the boundaries of the smoothing elements (smoothing cells). Numerical results show that the proposed element is robust, computational inexpensive and simultaneously very accurate and free of locking, even for very thin plates. The most promising feature of our elements is their insensitivity to mesh distortion.
smooth finite element method plates curvature smoothing sfem locking-free distorted meshes