Nonlocking Beam Finite Elements for Use with Inelastic Material Models
Publication: Journal of Engineering Mechanics
Volume 125, Issue 2
Abstract
A locking-assessment procedure for shear-deforming beam elements is proposed that is suitable for inelastic material behavior. By way of example, the procedure is used to motivate the formulation of a nonlocking element in the context of an isotropic but inelastic (e.g., J2-flow theory with isotropic hardening) constitutive model. In particular, constraints among the nodal degrees of freedom (dof) are introduced to ensure uniform, non-shear-locking element behavior. The locking-assessment procedure distinguishes between locking, stiffening, and uniform element behavior in the thin-beam limit by comparing the dimensions of the function spaces containing the bending strains, both in the presence and absence of the thin-beam constraints. Inter-dof constraints that lead to uniform behavior are seen to arise naturally from this element-assessment procedure. Also, a novel cross-sectional numerical integration scheme is presented that is highly accurate in relation to the number of stress-sampling points on the cross section.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 125 • Issue 2 • February 1999
Pages: 143 - 151
History
Received: Sep 16, 1996
Published online: Feb 1, 1999
Published in print: Feb 1999
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