An Eulerian finite element model for the steady state forming of porous materials

2006 ◽  
Vol 12 (2) ◽  
pp. 161-166 ◽  
Author(s):  
Yong-Shin Lee
2013 ◽  
Vol 41 (2) ◽  
pp. 82-108 ◽  
Author(s):  
James M. Gibert ◽  
Balajee Ananthasayanam ◽  
Paul F. Joseph ◽  
Timothy B. Rhyne ◽  
Steven M. Cron

ABSTRACT When competing in performance with their pneumatic counterparts, nonpneumatic tires should have several critical features, such as low energy loss when rolling over obstacles, low mass, low stiffness, and low contact pressure. In recent years, a nonpneumatic tire design was proposed to address each of these critical issues [1]. In this study, the steady state and transient energy losses due to rolling resistance for the proposed nonpneumatic tire are considered. Typically, such an analysis is complex because of the coupling of temperature on the structural deformation and the viscoelastic energy dissipation, which requires an iterative procedure. However, researchers have proposed a simplified analysis by using the sensitivity of the tire's elastic response to changes in material stiffness through a deformation index [2–4]. In the current study, the method is exploited to its full potential for the nonpneumatic tire due to the relatively simple nature of deformation in the tire's flexible ring and the lack of several complicating features present in pneumatic tires, namely, a heated air cavity and the complex stress state due to its composite structure. In this article, two models were developed to predict the transient and steady-state temperature rise. The first is a finite element model based on the deformation index approach, which can account for thermo-mechanical details in the tire. Motivated by the simplicity of the thermo-behavior predicted by this finite element model, a simple lumped parameter model for temperature prediction at the center of the shear band was developed, which in many cases compares very well with the more detailed finite element approach due to the nature of the nonpneumatic tire. The finite element model can be used to, for example, explore the design space of the nonpneumatic tire to reach target temperatures by modifying heat transfer coefficients and/or material properties.


2018 ◽  
Vol 85 (6) ◽  
Author(s):  
Simon P. H. Skovsgaard ◽  
Henrik Myhre Jensen

Failure by steady-state kink band propagation in layered materials is analyzed using three substantially different models. A finite element model and an analytical model are developed and used together with a previously introduced constitutive model. A novel methodology for simulating an infinite kink band is used for the finite element model using periodic boundary conditions on a skewed mesh. The developed analytical model results in a transcendental equation for the steady-state kink band propagation state. The three models are mutually in good agreement and results obtained using the models correlate well with the previous experimental findings.


Author(s):  
D Yu ◽  
T H C Childs ◽  
K W Dalgarno

A finite element model of a complete loop of V-ribbed belt running between two torque transmitting pulleys has been created to study the mechanics of contact between a belt rib and pulley groove. It has been validated against experimental measurements of radial movement of a K-section belt running on 80 mm diameter pulleys. Patterns of sticking and slip between the belt and pulley are predicted. Of particular interest are the patterns of traction in entry and exit regions and, in fully seated regions, the variations with distance from the cord line. Both steady state and transient behaviours are modelled. Successful computations have only been achieved after developing a simplified description of the belt rubber's incompressible hyperelasticity, based on subsidiary experimental and finite element testing. Of major interest is the severe contact conditions predicted on driving pulleys compared to driven pulleys at the same loading.


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