Search results for "Re-entrant angle"

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LEM for twisted re-entrant angle sections

2014

In this paper an innovative numerical method named as line element-less method, LEM, for finding solution of torsion problem has been extended to all shaped sections, including sections possessing re-entrant angles at their boundary. The response solution in terms of shear stress field or Prandtl function or warping function in all domain and for any kind of domain with arbitrary contour, may be performed quickly, calculating line integrals only. The method takes full advantage of the theory of analytic complex function and is robust in the sense that returns exact solution if this exists. Numerical implementation of LEM has been developed using Mathematica software without resorting to any…

TorsionRe-entrant angleDiscretizationMechanical EngineeringNumerical analysisMathematical analysisPrandtl numberLine integralTorsion (mechanics)GeometryStress fieldComputer Science ApplicationsStress fieldsymbols.namesakeExact solutions in general relativityModeling and SimulationShear stresssymbolsComplex potential functionGeneral Materials ScienceCivil and Structural EngineeringMathematicsComputers & Structures
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