Dual boundary element analysis using complex variables for potential problems with or without a degenerate boundary
Copyright policy )Dual boundary element analysis using complex variables for potential problems with or without a degenerate boundary
Former dual boundary element method in the real domain is extended to the complex variable. This novel method can simplify the calculation of hypersingular integrals. The Hadamard integral formula is obtained by taking the derivative of Cauchy integral formula. The two equations (Cauchy and Hadamard integral formula) constitute the basis for the complex variable dual boundary integral equations. The Hadamard integral formula is tested for boundary value problems with degenerate boundary. Some numerical examples for potential flow with a sheet pile and the torsion problem for a cracked bar are considered to verify the validity of the proposed formulation.
sheet pile, cracked bar, boundary value problems, torsion, Cauchy integral formula, degenerate boundary, complex variable dual boundary integral equations, potential flow, Classical linear elasticity, Boundary element methods applied to problems in fluid mechanics, Hadamard integral formula, Complex variables methods applied to problems in fluid mechanics, Boundary element methods applied to problems in solid mechanics
sheet pile, cracked bar, boundary value problems, torsion, Cauchy integral formula, degenerate boundary, complex variable dual boundary integral equations, potential flow, Classical linear elasticity, Boundary element methods applied to problems in fluid mechanics, Hadamard integral formula, Complex variables methods applied to problems in fluid mechanics, Boundary element methods applied to problems in solid mechanics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).38 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!