scholarly journals Analytical modeling of synthetic fiber ropes. Part II: A linear elastic model for 1+6 fibrous structures

2007 ◽  
Vol 44 (9) ◽  
pp. 2943-2960 ◽  
Author(s):  
Seyed Reza Ghoreishi ◽  
Peter Davies ◽  
Patrice Cartraud ◽  
Tanguy Messager
Keyword(s):  
Analytical Modeling ◽  
Synthetic Fiber ◽  
Elastic Model ◽  
Linear Elastic ◽  
Linear Elastic Model

scholarly journals Non-linear elastic model incorporating temperature effects

2018 ◽  
Vol 5 (1) ◽  
pp. 22-30 ◽  
Author(s):  
Hong Liu ◽  
Hanlong Liu ◽  
Yang Xiao ◽  
Qingsheng Chen ◽  
Yufeng Gao ◽  
...  
Keyword(s):  
Temperature Effects ◽  
Elastic Model ◽  
Linear Elastic ◽  
Linear Elastic Model ◽  
Non Linear

Fluid-structure coupling of linear elastic model with compressible flow models

2017 ◽  
Vol 86 (6) ◽  
pp. 365-391 ◽  
Author(s):  
Michael Herty ◽  
Siegfried Müller ◽  
Nils Gerhard ◽  
Gaoming Xiang ◽  
Bing Wang
Keyword(s):  
Compressible Flow ◽  
Elastic Model ◽  
Fluid Structure ◽  
Flow Models ◽  
Linear Elastic ◽  
Linear Elastic Model

A novel conjugated bond linear elastic model in bond-based peridynamics for fracture problems under dynamic loads

2018 ◽  
Vol 188 ◽  
pp. 151-183 ◽  
Author(s):  
Xiaoping Zhou ◽  
Yunteng Wang ◽  
Yundong Shou ◽  
Miaomiao Kou
Keyword(s):  
Dynamic Loads ◽  
Elastic Model ◽  
Linear Elastic ◽  
Linear Elastic Model

Comparison of the Experimental Results of the Calculation for Various Models of the Energy Parameter

2016 ◽  
Vol 250 ◽  
pp. 127-132
Author(s):  
Ewa Marcisz ◽  
Dariusz Rozumek
Keyword(s):  
Fatigue Life ◽  
Cross Section ◽  
Energy Parameter ◽  
Experimental Results ◽  
Elastic Model ◽  
Linear Elastic ◽  
Linear Elastic Model ◽  
Life Tests

The paper presents results of fatigue life tests conducted on transverse, circular and square cross-section specimens of C45 steel with controlled amplitude of energy parameter. The experimental results were compared with results obtained from computations on energy parameter models by R. Pawliczek, C. T. Lachowicz and on the linear-elastic model.

Stability of fluid flow through deformable neo-Hookean tubes

2009 ◽  
Vol 627 ◽  
pp. 291-322 ◽  
Author(s):  
GAURAV ◽  
V. SHANKAR
Keyword(s):  
Reynolds Number ◽  
Numerical Solutions ◽  
Unstable Mode ◽  
Creeping Flow ◽  
Interfacial Instability ◽  
Elastic Model ◽  
Deformable Solid ◽  
Linear Elastic ◽  
Linear Elastic Model ◽  
Flow Through

The linear stability of fully developed Poiseuille flow of a Newtonian fluid in a deformable neo-Hookean tube is analysed to illustrate the shortcomings of extrapolating the linear elastic model for the tube wall outside its domain of validity of small strains in the solid. We show using asymptotic analyses and numerical solutions that a neo-Hookean description of the solid dramatically alters the stability behaviour of flow in a deformable tube. The flow-induced instability predicted to exist in the creeping-flow limit based on the linear elastic approximation is absent in the neo-Hookean model. In contrast, a new low-wavenumber (denoted by k) instability is predicted in the limit of very low Reynolds number (Re ≪ 1) with k ∝ Re1/2 for purely elastic (with ratio of solid to fluid viscosities ηr = 0) neo-Hookean tubes. The first normal stress discontinuity in the neo-Hookean solid gives rise to a high-wavenumber interfacial instability, which is stabilized by interfacial tension at the fluid–wall interface. Inclusion of dissipation (ηr ≠ 0) in the solid has a stabilizing effect on the low-k instability at low Re, and the critical Re for instability is a sensitive function of ηr. For Re ≫ 1, both the linear elastic extrapolation and the neo-Hookean model agree qualitatively for the most unstable mode, but show disagreement for other unstable modes in the system. Interestingly, for plane-Couette flow past a deformable solid, the results from the extrapolated linear elastic model and the neo-Hookean model agree very well at any Reynolds number for the most unstable mode when the wall thickness is not small. The results of this study have important implications for experimental investigations aimed at probing instabilities in flow through deformable tubes.

A symmetric linear elastic model for helical wire strands under axisymmetric loads

1996 ◽  
Vol 31 (5) ◽  
pp. 389-399 ◽  
Author(s):  
S Sathikh ◽  
M B K Moorthy ◽  
M Krishnan
Keyword(s):  
Mathematical Models ◽  
Stiffness Matrix ◽  
Mechanical Response ◽  
Elastic Model ◽  
Symmetric Model ◽  
Wire Ropes ◽  
Linear Elastic ◽  
Linear Elastic Model ◽  
Wire Strand

Among several mathematical models for predicting the mechanical response of a helical wire strand to axisymmetric tension and torque derived in the literature over five decades, purely tensile wire linear elastic models have the symmetry of a stiffness matrix. Curiously, in those models where wire bending and torsion terms were included there was a lack of symmetry. In this paper the origin of the lack of symmetry in the earlier models has been identified and a symmetric model developed. The correct generalized strains for this purpose were derived using Wempner's theory and verified using Ramsey's theory. The validity of this model has been verified by comparing its results with that of earlier models and experiments available. This linear elastic symmetric model brings forth the much needed agreement between the global (strand) and the local (wire) responses which should help to simplify considerably the analysis of multi-layer strands and multi-strand wire ropes.

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