Abstract
A displacement‐based formulation for an arbitrarily shaped, thin to moderately thick curved beam finite element is presented. Independent interpolations for bending and membrane‐shear displacement fields are employed to create a bending strain kinematically independent from the coupled membrane and shear strains. A higher order field is implemented for the bending deflection by integration of the rotation field. The resulting element is free from membrane and shear locking problems common to most isoparametric elements. Numerical testing shows excellent convergence behavior for the element, even when overintegration is applied.
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