Non-localised contact between beams with circular and elliptical cross-sections

in Computational Mechanics (in press)

The key novelty of this contribution is a dedicated technique to e fficiently determine the distance (gap) function between parallel or almost parallel beams with circular and elliptical cross-sections ... [more ▼]

The key novelty of this contribution is a dedicated technique to e fficiently determine the distance (gap) function between parallel or almost parallel beams with circular and elliptical cross-sections. The technique consists of parametrizing the surfaces of the two beams in contact, fixing a point on the centroid line of one of the beams and searching for a constrained minimum distance between the surfaces (two variants are investigated). The resulting unilateral (frictionless) contact condition is then enforced with the Penalty method, which introduces compliance to the, otherwise rigid, beams' cross-sections. Two contact integration schemes are considered: the conventional slave-master approach (which is biased as the contact virtual work is only integrated over the slave surface) and the so-called two-half-pass approach (which is unbiased as the contact virtual work is integrated over the two contacting surfaces). Details of the finite element formulation which is suitably implemented using Automatic Di fferentiation techniques are presented. A set of numerical experiments shows the overall performance of the framework and allows a quantitative comparison of the investigated variants. [less ▲]

Non-localized contact between beams with circular and elliptical cross-sections

Doctoral thesis (2020)

Numerous materials and structures are aggregates of slender bodies. We can, for example, refer to struts in metal foams, yarns in textiles, fibers in muscles or steel wires in wire ropes. To predict the ... [more ▼]

Numerous materials and structures are aggregates of slender bodies. We can, for example, refer to struts in metal foams, yarns in textiles, fibers in muscles or steel wires in wire ropes. To predict the mechanical performance of these materials and structures, it is important to understand how the mechanical load is distributed between the different bodies. If one can predict which slender body is the most likely to fail, changes in the design could be made to enhance its performance. As the aggregates of slender bodies are highly complex, simulations are required to numerically compute their mechanical behaviour. The most widely employed computational framework is the Finite Element Method in which each slender body is modeled as a series of beam elements. On top of an accurate mechanical representation of the individual slender bodies, the contact between the slender bodies must often be accurately modeled. In the past couple of decades, contact between beam elements has received wide-spread attention. However, the focus was mainly directed towards beams with circular cross-sections, whereas elliptical cross-sections are also relevant for numerous applications. Only two works have considered contact between beams with elliptical cross-sections, but they are limited to point-wise contact, which restricts their applicability. In this Ph.D. thesis, different frameworks for beams with elliptical cross-sections are proposed in case a point-wise contact treatment is insufficient. The thesis also reports a framework for contact scenarios where a beam is embedded inside another beam, which is in contrast to conventional contact frameworks for beams in which penetrating beams are actively repelled from each other. Finally, two of the three contact frameworks are enhanced with frictional sliding, where friction not only occurs due to sliding in the beams’ longitudinal directions but also in the transversal directions. [less ▲]

Non-localized Contact Between Beams with Non-Circular Cross Sections

in Proceedings in Applied Mathematics and Mechanics (2019)

In this contribution, we introduce a contact formulation between beams finite elements with (hyper)elliptical cross sections. The contact scheme allows to model scenarios in which the contact area is ... [more ▼]

In this contribution, we introduce a contact formulation between beams finite elements with (hyper)elliptical cross sections. The contact scheme allows to model scenarios in which the contact area is finite or the contact area occurs along a line. Although some contact schemes are yet able to do this, they require one of the beams to have a circular cross section. Here however, we focus on non-circular cross-sections. Consequently, new projections are required, in which the beam surfaces are used explicitly to formulate contact kinematics. [less ▲]

Large-deformation lattice model for dry-woven fabrics including contact

Speeches/Talks (2016)

Short Presentation on the Quasi-continuum method