engleski

Objectivity of strain measures in the fixed-pole approach

The paper presents a novel geometrically exact spatial beam finite element derived from the so-called fixed-pole approach. While utilising the standard Galerkin discretisation, these elements turn out to have non-standard degrees of freedom which are a combination of translations and rotations. If these unknowns are interpolated using Lagrange polynomials the discretised strain measures turn out to be strain non-invariant. In this work a remedy to this problem is presented.

strain-invariance; geometrically exact beam theory; 3D beam theory; fixed-pole approach

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