Line element-less method (LEM) for beam torsion solution (truly no-mesh method)

DOI10.1007/s00707-007-0557-2zbMath1136.74046OpenAlexW2064867166MaRDI QIDQ925924

Roberta Santoro, Antonina Pirrotta, Mario Di Paola

Publication date: 26 May 2008

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-007-0557-2

zbMATH Keywords

harmonic polynomialsLaurent series

Mathematics Subject Classification ID

Related Items (13)

Torsion in multi-cell thin-walled girders ⋮ 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) ⋮ Exact and approximate analytical solutions for nonlocal nanoplates of arbitrary shapes in bending using the line element-less method ⋮ Comparison among three boundary element methods for torsion problems: CPM, CVBEM, LEM ⋮ Complex potential by hydrodynamic analogy for the determination of flexure-torsion induced stresses in de Saint Venant beams with boundary singularities ⋮ De Saint-Venant flexure-torsion problem handled by line element-less method (LEM) ⋮ Fractional viscoelastic beam under torsion ⋮ Shear stresses in elastic beams: an intrinsic approach ⋮ Compensation of torsional vibrations in rods by piezoelectric actuation ⋮ Generalized complex variable boundary integral equation for stress fields and torsional rigidity in torsion problems ⋮ 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

• Unnamed Item
• Unnamed Item
• Coupling of element-free Galerkin and hybrid boundary element methods using modified variational formulation
• Symmetric boundary element method versus finite element method
• Torsion and flexure analysis of orthotropic beams by a boundary element model
• A NEW SYMMETRIC AND POSITIVE DEFINITE BOUNDARY ELEMENT FORMULATION FOR LATERAL VIBRATIONS OF PLATES
• A SYMMETRIC AND POSITIVE DEFINITE BEM FOR 2-D FORCED VIBRATIONS
• An integral equation solution of the torsion problem
• The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies
• A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids

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