International Journal for Numerical Methods in Engineering · 1978 · 136 citations · 5 references
Transition ElementsEngineeringStress Singularity CapabilityMechanical EngineeringResidual StressMechanics ModelingQuadratic Isoparametric ElementStressstrain AnalysisDeformation ModelingMaterials ScienceStrain LocalizationSolid MechanicsDefect FormationMechanical DeformationCrack FormationStructural MechanicsDynamic Crack PropagationMechanics Of MaterialsHigh Strain Rate
Abstract A generalization of the (r −1/2 ) strain or stress singularity capability of the quadratic isoparametric element is presented. It is shown that, by variable placement of the side‐nobe between quarter‐ and mid‐point, the point of singularity sensed by the element can be controlled. By using eight‐noded quadrilateral isoparametric elements with appropriately placed side‐nodes as transition elements between the quarter‐point crack‐tip trinagular and remaining non‐singular elements, stress intensity factors may be computed with higher accuracy.
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