Comparison among three boundary element methods for torsion problems: CPM, CVBEM, LEM

DOI10.1016/j.enganabound.2011.02.003zbMath1259.74034OpenAlexW2003947562MaRDI QIDQ1944551

Giorgio Barone, Roberta Santoro, Antonina Pirrotta

Publication date: 25 March 2013

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2011.02.003

zbMATH Keywords

torsionboundary element methodscomplex analysis

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Boundary element methods applied to problems in solid mechanics (74S15) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (9)

Complex potential function in elasticity theory: shear and torsion solution through line integrals ⋮ Solution of de Saint Venant flexure-torsion problem for orthotropic beam via LEM (line element-less method) ⋮ A complex variable boundary element method for solving a steady-state advection-diffusion-reaction equation ⋮ Exact and approximate analytical solutions for nonlocal nanoplates of arbitrary shapes in bending using the line element-less method ⋮ Complex potential by hydrodynamic analogy for the determination of flexure-torsion induced stresses in de Saint Venant beams with boundary singularities ⋮ Fractional viscoelastic beam under torsion ⋮ Clifford algebra valued boundary integral equations for three-dimensional elasticity ⋮ A BEM approach to the evaluation of warping functions in the Saint Venant theory ⋮ CVBEM solution for De Saint-Venant orthotropic beams under coupled bending and torsion

Cites Work

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• Line element-less method (LEM) for beam torsion solution (truly no-mesh method)
• Complex variable boundary element methods for the solution of potential problems in simply and multiply connected domains
• Theoretical developments in the complex variable boundary element method
• Comparison of complex methods for numerical solutions of boundary problems of the Laplace equation
• LINKING THE COMPLEX VARIABLE BOUNDARY-ELEMENT METHOD TO THE ANALYTIC FUNCTION METHOD

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