A finite element approach for the line-to-line contact interaction of thin beams with arbitrary orientation
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TLDR
It is shown that the proposed formulation is more suitable for beam contact than possible alternatives based on mortar type contact discretizations or constraint enforcement by means of Lagrange multipliers, and enhanced by a consistently linearized integration interval segmentation avoiding numerical integration across strong discontinuities.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2016-08-15 and is currently open access. It has received 63 citations till now. The article focuses on the topics: Contact force & Finite element method.read more
Citations
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Geometrically Exact Finite Element Formulations for Curved Slender Beams: Kirchhoff-Love Theory vs. Simo-Reissner Theory
TL;DR: It will be shown that the geometrically exact Kirchhoff–Love beam elements proposed in this work are the first ones of this type that fulfill all essential requirements and provide considerable numerical advantages such as lower spatial discretization error levels, improved performance of time integration schemes as well as linear and nonlinear solvers and smooth geometry representation as compared to shear-deformable Simo–Reissner formulations when applied to highly slender beams.
Journal ArticleDOI
Geometrically Exact Finite Element Formulations for Slender Beams: Kirchhoff–Love Theory Versus Simo–Reissner Theory
TL;DR: In this paper, a detailed review of existing formulations of Kirchhoff-love and Simo-Reissner type for highly slender beams is presented, where two different rotation interpolation schemes with strong or weak Kirchoff constraint enforcement, as well as two different choices of nodal triad parametrizations in terms of rotation or tangent vectors are proposed.
Journal ArticleDOI
A unified approach for beam-to-beam contact
TL;DR: A novel all-angle beam contact ( ABC) formulation is developed that applies a point contact formulation in the range of large contact angles and a recently developed line contact formulations in therange of small contact angles, the two being smoothly connected by means of a variationally consistent model transition.
Journal ArticleDOI
A master-surface to master-surface formulation for beam to beam contact. Part I: frictionless interaction
TL;DR: In this paper, a surface to surface frictionless contact formulation is presented, which is appropriate to the analysis of beam to beam contact, where parameterized surfaces are assumed to represent the boundaries of the bodies that are candidate to contact.
Journal ArticleDOI
Effect of fiber and bond strength variations on the tensile stiffness and strength of fiber networks
TL;DR: In this article, the effect of variability in the fiber and fiber bond properties on the average stiffness and strength of fiber networks was investigated using a fiber-scale numerical model and reconstruction algorithm.
References
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Reference EntryDOI
Computational Contact Mechanics
Peter Wriggers,Giorgio Zavarise +1 more
TL;DR: The mathematical structure of the contact formulation for finite element methods is derived on the basis of a continuum description of contact, and several algorithms related to spatial contact search and fulfillment of the inequality constraints at the contact interface are discussed.
Journal ArticleDOI
A three-dimensional finite-strain rod model. Part II: Computational aspects
Juan C. Simo,Loc Vu-Quoc +1 more
TL;DR: In this article, a variational formulation and computational aspects of a three-dimensional finite-strain rod model, considered in Part I, are presented, which bypasses the singularity typically associated with the use of Euler angles.
Book
Computational Contact and Impact Mechanics
TL;DR: The first € price and the £ and $ price are net prices, subject to local VAT as discussed by the authors, and they are subject to change without notice, all errors and omissions excepted.
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On contact between three-dimensional beams undergoing large deflections
Peter Wriggers,Giorgio Zavarise +1 more