scholarly journals A mortar formulation for frictionless line-to-line beam contact

2021 ◽  
Author(s):  
Armin Bosten ◽  
Alejandro Cosimo ◽  
Joachim Linn ◽  
Olivier Brüls
Keyword(s):  
Cross Sections ◽  
Contact Region ◽  
Weak Sense ◽  
Flexible Beams ◽  
Finite Element Approach ◽  
Numerical Examples ◽  
Geometrically Exact Beam ◽  
Element Approach ◽  
Line Beam ◽  
Thin Beams

AbstractThis paper describes the quasi-static formulation of frictionless line contact between flexible beams by employing the mortar finite element approach. Contact constraints are enforced in a weak sense along the contact region using Lagrange multipliers. A simple projection appropriate for thin beams with circular cross-sections is proposed for the computation of contact regions. It is combined with the geometrically exact beam formalism on the Lie group $SE(3)$ S E ( 3 ) . Interestingly, this framework leads to a constraint gradient and a tangent stiffness invariant under rigid body transformations. The formulation is tested in some numerical examples.

Thermo-Elastoviscoplastic Buckling Behavior of Plates

1994 ◽  
Vol 61 (1) ◽  
pp. 169-175 ◽  
Author(s):  
G. J. Simitses ◽  
Y. Song
Keyword(s):  
Finite Element ◽  
Constitutive Equations ◽  
Material Models ◽  
Inelastic Buckling ◽  
Finite Element Approach ◽  
Numerical Examples ◽  
Initial Imperfections ◽  
Rate Dependent ◽  
Buckling Behavior ◽  
Element Approach

The thermo-elastoviscoplastic buckling behavior of plates is investigated. The analysis is based on nonlinear kinematic relations and nonlinear rate-dependent unified constitutive equations which include both Bodner-Partom’s and Walker’s material models. A finite element approach is employed to predict the inelastic buckling behavior. Numerical examples are given to demonstrate the effects of several parameters, which include temperature, small initial imperfections, and the thickness of the plate. Comparisons of buckling responses for the two models, Bodner-Partom’s and Walker’s, are also presented.

A Finite Element Approach for Nonhomogeneous Nonlocal Elastic Problems

2008 ◽  
Author(s):  
Aurora Pisano ◽  
Alba Sofi ◽  
Paolo Fuschi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlocal Elasticity ◽  
Elastic Moduli ◽  
Strain Difference ◽  
Relevant Literature ◽  
Stiffness Tensor ◽  
Finite Element Approach ◽  
Numerical Examples ◽  
Element Approach

The paper deals with the implementation of a method, known in the relevant literature as Nonlocal Finite Element Method, for solving 2D boundary value problems in the context of nonhomogeneous nonlocal elasticity. The method, founded on a consistent thermodynamic formulation, is here improved making use of a phenomenological strain-difference-based nonhomogeneous nonlocal elasticity model. The latter assumes a two components local/nonlocal constitutive relation in which the stress is conceived as the sum of two contributions governed by the standard elastic moduli tensor and by a nonlocal stiffness tensor, respectively. Two numerical examples are presented and the obtained results are discussed both to verify the reliability of the method and to show its potential and limits for the analysis of nonhomogeneous nonlocal elastic problems.

Vibration Of Rings With Unsymmetrical Cross-Sections: A Finite Element Approach

1993 ◽  
Vol 168 (1) ◽  
pp. 93-113 ◽  
Author(s):  
W.L. Cleghorn ◽  
B. Tabarrok ◽  
T.W. Lee
Keyword(s):  
Finite Element ◽  
Cross Sections ◽  
Finite Element Approach ◽  
Element Approach

A Finite Element Approach to the Transient Dynamics of Rolling Tires with Emphasis on Rolling Noise Simulation4

2007 ◽  
Vol 35 (3) ◽  
pp. 165-182 ◽  
Author(s):  
Maik Brinkmeier ◽  
Udo Nackenhorst ◽  
Heiner Volk
Keyword(s):  
Finite Element ◽  
Traffic Noise ◽  
Complex Eigenvalue ◽  
Arbitrary Lagrangian Eulerian ◽  
Finite Element Approach ◽  
Road Systems ◽  
Element Approach ◽  
Road Surface Roughness ◽  
Complex Eigenvalue Analysis ◽  
Rolling Noise

Abstract The sound radiating from rolling tires is the most important source of traffic noise in urban regions. In this contribution a detailed finite element approach for the dynamics of tire/road systems is presented with emphasis on rolling noise prediction. The analysis is split into sequential steps, namely, the nonlinear analysis of the stationary rolling problem within an arbitrary Lagrangian Eulerian framework, and a subsequent analysis of the transient dynamic response due to the excitation caused by road surface roughness. Here, a modal superposition approach is employed using complex eigenvalue analysis. Finally, the sound radiation analysis of the rolling tire/road system is performed.

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