Nonlinear Geometry of Continuum Solids via Mathematical Tools

2016 ◽  
pp. 17-34
Keyword(s):  
Nonlinear Geometry

Compliant thin-walled joint based on zygoptera nonlinear geometry

2017 ◽  
Vol 31 (3) ◽  
pp. 1293-1303 ◽  
Author(s):  
Thanh-Phong Dao ◽  
Shyh-Chour Huang
Keyword(s):  
Nonlinear Geometry ◽  
Thin Walled

Nonlinear Geometry

2016 ◽  
pp. 103-123
Author(s):  
Antonio J. Guirao ◽  
Vicente Montesinos ◽  
Václav Zizler
Keyword(s):  
Nonlinear Geometry

An investigation of the valence shell electronic structure of alkaline earth halides by using ab initio s. c. f. calculations and photoelectron spectroscopy

1979 ◽  
Vol 365 (1722) ◽  
pp. 395-411 ◽  
Keyword(s):  
Ab Initio ◽  
Photoelectron Spectroscopy ◽  
Vapour Phase ◽  
Photoelectron Spectra ◽  
Valence Shell ◽  
Point Charge Model ◽  
Charge Model ◽  
Nonlinear Geometry ◽  
Electronic Configurations ◽  
Beam Technique

The He I photoelectron spectra of the chlorides, bromides and iodides of magnesium, strontium and barium (except Mgl 2 ) and of BeCl 2 have been recorded in the vapour phase by the use of a molecular beam technique. Contrary to the study of Hammer et al . (1978) considerable structure was served. Ab initio s. c. f. m. o. calculations were carried out for the lighter members of the group and the calculated ionization potentials allowing for the effects of spin–orbit coupling compared with those obtained from the spectra. In this way valence shell electronic configurations for the mole­cules studied were determined. Evidence for a nonlinear geometry of the heavier metal halides is also discussed both in terms of spectral features expected for a nonlinear geometry from s. c. f. calculation and from a point charge model.

ON ASYMPTOTIC UNIFORM SMOOTHNESS AND NONLINEAR GEOMETRY OF BANACH SPACES

2019 ◽  
pp. 1-38
Author(s):  
B. M. Braga
Keyword(s):  
Banach Spaces ◽  
Open Problem ◽  
Concentration Inequalities ◽  
Uniformly Smooth ◽  
Uniform Smoothness ◽  
Weakly Sequentially Continuous ◽  
Nonlinear Geometry ◽  
Lipschitz Embeddings ◽  
Uniformly Smooth Banach Spaces ◽  
Descriptive Set

These notes concern the nonlinear geometry of Banach spaces, asymptotic uniform smoothness and several Banach–Saks-like properties. We study the existence of certain concentration inequalities in asymptotically uniformly smooth Banach spaces as well as weakly sequentially continuous coarse (Lipschitz) embeddings into those spaces. Some results concerning the descriptive set theoretical complexity of those properties are also obtained. We finish the paper with a list of open problem.

Failure Modes of American Petroleum Institute 12F Tanks With a Rectangular Cleanout and Stepped Shell Design

2018 ◽  
Vol 140 (6) ◽  
Author(s):  
Eyas Azzuni ◽  
Sukru Guzey
Keyword(s):  
Internal Pressure ◽  
Stress Analysis ◽  
Failure Modes ◽  
American Petroleum Institute ◽  
Buckling Analysis ◽  
Vacuum Pressure ◽  
Maximum Pressure ◽  
Elastic Buckling ◽  
Shell Design ◽  
Nonlinear Geometry

The design and fabrication of shop-welded and prefabricated relatively small tanks, when compared to field-welded tanks, used in the upstream segment of the oil and gas industry is governed by the American Petroleum Institute specification 12F (API 12F). This study explores the changing designs of API 12F tanks to include a new rectangular cleanout design with reinforcement as shell extension internally of cleanout frame and a stepped shell design. This study also investigated the introduction of two additional tank sizes in addition to existing eleven tank sizes in the current 12th edition of API 12F. The adequacy of the new design changes and proposed tank designs were verified by elastic stress analysis with nonlinear geometry, elastic–plastic stress analysis with nonlinear geometry, and elastic buckling analysis to verify their ability to operate at a design internal pressure of 16 oz/in2 (6.9 kPa) and maximum pressure during emergency venting of 24 oz/in2 (10.3 kPa). A vacuum pressure of 1.5 oz/in2 (0.43 kPa) was also investigated using the elastic buckling analysis. The stress levels and uplift of the tanks are reported in this report to provide insights into the behavior of proposed API 12F tanks exposed to higher internal pressure and vacuum pressure.

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