Variational Convergence for Nonlinear Shell Models with Directors and Related Semicontinuity and Relaxation Results

2000 ◽  
Vol 154 (2) ◽  
pp. 101-134 ◽  
Author(s):  
Hervé Le Dret ◽  
Annie Raoult
Keyword(s):  
Variational Convergence ◽  
Shell Models ◽  
Nonlinear Shell

scholarly journals Statistical properties of nonlinear shell models of turbulence from linear advection models: rigorous results

Nonlinearity ◽  
2007 ◽  
Vol 20 (6) ◽  
pp. 1431-1441 ◽  
Author(s):  
Roberto Benzi ◽  
Boris Levant ◽  
Itamar Procaccia ◽  
Edriss S Titi
Keyword(s):  
Statistical Properties ◽  
Rigorous Results ◽  
Shell Models ◽  
Nonlinear Shell ◽  
Shell Models Of Turbulence

Dynamic analysis of bearingless tail rotor blades based on nonlinear shell models

1994 ◽  
Vol 31 (6) ◽  
pp. 1402-1410 ◽  
Author(s):  
Olivier A. Bauchau ◽  
Wuying Chiang
Keyword(s):  
Dynamic Analysis ◽  
Rotor Blades ◽  
Shell Models ◽  
Nonlinear Shell

Influence of fasteners and connections flexibility on deflections of steel building including the stressed skin effect

2018 ◽  
Vol 2 (21) ◽  
pp. 131-148 ◽  
Author(s):  
Natalia Korcz ◽  
Elżbieta Urbańska-Galewska
Keyword(s):  
Finite Elements ◽  
Skin Effect ◽  
Numerical Models ◽  
Orthotropic Shell ◽  
3D Structure ◽  
Negligible Effect ◽  
Transverse Stiffness ◽  
Shell Models ◽  
Steel Building ◽  
Two Sides

The paper presents the analysis of the influence of fasteners and connections flexibility on displacements of symmetrical single-bay pitched-roof steel building, including trapezoidal cladding acting as a diaphragm. The purpose of the article was to compare numerical models with and without taking into consideration fasteners and connections flexibility in order to observe the differences in transverse stiffness of the building during modifying model from the simple one to more complex and precise. The analyses were carried out for the 3D structure. Fasteners and connections were substituted by equivalent beam finite elements. Corrugated sheets were replaced by three types of equivalent orthotropic shell models and the influence of the choice of the model on the stiffness of the building was observed. The results showed that in the analysed structure the flexibility of fasteners and connections has negligible effect on transverse displacements of the building in the case of four sides fastening of the sheeting, however in the case of two sides fastening the influence significantly increases.

Multiple particle tracking

2018 ◽  
Author(s):  
Eric M. Furst ◽  
Todd M. Squires
Keyword(s):  
Brownian Motion ◽  
Best Practices ◽  
Particle Tracking ◽  
Heterogeneous Material ◽  
Quantitative Measurements ◽  
Particle Tracking Microrheology ◽  
Shell Models ◽  
Multiple Particle Tracking ◽  
Microscopy Data ◽  
Multiple Particle

The fundamentals and best practices of multiple particle tracking microrheology are discussed, including methods for producing video microscopy data, analyzing data to obtain mean-squared displacements and displacement correlations, and, critically, the accuracy and errors (static and dynamic) associated with particle tracking. Applications presented include two-point microrheology, methods for characterizing heterogeneous material rheology, and shell models of local (non-continuum) heterogeneity. Particle tracking has a long history. The earliest descriptions of Brownian motion relied on precise observations, and later quantitative measurements, using light microscopy.

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