Static, free vibration, and buckling analysis of plates using strain‑based Reissner–Mindlin elements
Subject Areas : Structural Mechanics
Keywords: Strain approach · Free vibration · Buckling · Mindlin plate,
Abstract :
AbstractA quadrilateral and a triangular element based on the strain approach are developed for static, free vibration and bucklinganalyses of Reissner–Mindlin plates. The four-node triangular element SBTP4 has the three essential external degrees offreedom at each of the three corner nodes and at a mid-side node; whereas the quadrilateral element SBQP has the samedegrees of freedom at each of the four corner nodes. Both elements use the same assumed strain functions which are in thelinear variation where bending and transverse shear strains are independent and satisfy the compatibility equations. The useof the strain approach allows obtaining elements with higher-order terms for the displacements field. The formulated elementshave been proposed to improve the strain-based rectangular plate element SBRP previously published. Several numericalexamples demonstrate that the present elements are free of shear locking and provide high-accuracy results compared to theavailable published numerical and analytical solutions.