International Journal for Numerical Methods in Engineering · 1981 · 14 citations · 5 references
ComputingComputational EngineeringMechanical EngineeringComputational Structural AnalysisFinite Element AnalysisFinite Element MethodsElement TypesFinite Element DiscretizationFracture MechanicsIsoparametric ElementsSolid Mechanics ApplicationsStructural Finite Element AnalysisAlgebraic ManipulationComputational Fracture MechanicsIsoparametric FormulationQuadratic ElementsQuadrilateral ElementsSingularitiesTetrahedral ElementsTriangular Elements
Abstract Quadratic and cubic quadrilateral isoparametric elements are investigated for use as transition elements for use a crack tip elements. Computations for a single element are explicitly carried out using a symbolic algebraic manipulation program and in addition to the desired square root singularity, additional singularities are revealed. Cubic transitional elements were used for a double‐edge crack problem and only marginal improvement is found for a well‐laid out grid.
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