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Analysis of shear flexible beams, using the meshless local Petrov-Galerkin method, based on a locking-free formulation. (English) Zbl 1015.74077

From the summary: The problems of shear flexible beams are analyzed by the title method using a locking-free weak formulation. A locking-free local symmetric weak form is derived by chainging the set of transverse displacement and total rotation to the set of transverse displacement and transverse shear strain. For the interpolation of the chosen set of dependent variables (i.e. transverse displacement and transverse shear strain) in the locking-free local symmetric weak form, we employ a generalized moving least squares interpolation scheme in order to introduce the derivative of transverse displacement as an additional nodal degree of freedom, independent of nodal transverse displacement. Through numerical examples, convergence tests are performed.

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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