Asymptotic methods in mechanics with applications to thin shells and plates (introduction)

Author(s):  
Svetlana Bauer ◽  
Sergei Filippov ◽  
A Smirnov ◽  
Petr Tovstik
Author(s):  
Pranab K. Sen ◽  
Julio M. Singer ◽  
Antonio C. Pedroso de Lima

2006 ◽  
Vol 37 (5) ◽  
pp. 407-419
Author(s):  
A. I. Filippov ◽  
P. N. Mikhailov ◽  
K. A. Filippov

1994 ◽  
Author(s):  
A. Verhoff ◽  
T. Michal ◽  
D. Stookesberry

1996 ◽  
Author(s):  
Hans Irschik ◽  
Franz Ziegler ◽  
Hans Irschik ◽  
Franz Ziegler

Author(s):  
Daniel Bouche ◽  
Frédéric Molinet ◽  
Raj Mittra
Keyword(s):  

2020 ◽  
Vol 83 (2) ◽  
pp. 307-333
Author(s):  
A. G. Aleksejevs ◽  
S. G. Barkanova ◽  
Yu. M. Bystritskiy ◽  
V. A. Zykunov

Author(s):  
István Ecsedi ◽  
Attila Baksa

AbstractThis paper deals with the Saint-Venant torsion of elastic, cylindrically orthotropic bar whose cross section is a sector of a circular ring shaped bar. The cylindrically orthotropic homogeneous elastic wedge-shaped bar strengthened by on its curved boundary surfaces by thin isotropic elastic shells. An analytical method is presented to obtain the Prandtl’s stress function, torsion function, torsional rigidity and shearing stresses. A numerical example illustrates the application of the developed analytical method.


2021 ◽  
Vol 8 (1) ◽  
pp. 259-270
Author(s):  
Giulio Mirabella Roberti ◽  
Giuseppe Ruscica ◽  
Vittorio Paris

Abstract The research starts from an analogy found between two apparently very different structural solutions: the double spiral pattern of the herringbone brick courses in the domes built by Antonio da Sangallo the Younger (1484-1546) during the Renaissance, and the particular pattern of a wooden floor ‘à la Serlio’, described by Amand Rose Emy in his Treatise at the beginning of 19th century, made by diagonal beams reciprocally sustained. The diagonal pattern of the floor has a geometrical relationship with the cross-herringbone pattern, so that the latter can be obtained by some geometrical transformations of the former. This pattern was also used in thin shells built by Nervi, from the destroyed airplane hangars in Tuscany to the Palazzetto dello sport in Rome, and even by Piacentini in 1936 and earlier in some neoclassical domes. Thus the construction tool, useful for building domes without expensive scaffolding, could have a structural role at the completed construction stage. Within the research different structures were investigated, in order to observe the relevance of this peculiar structural scheme particularly in the construction of modern domes.


2017 ◽  
Vol 4 (6) ◽  
pp. 170062 ◽  
Author(s):  
M. Vynnycky ◽  
S. Saleem ◽  
K. M. Devine ◽  
B. J. Florio ◽  
S. L. Mitchell ◽  
...  

Asymptotic methods are employed to revisit an earlier model for oscillation-mark formation in the continuous casting of steel. A systematic non-dimensionalization of the governing equations, which was not carried out previously, leads to a model with 12 dimensionless parameters. Analysis is provided in the same parameter regime as for the earlier model, and surprisingly simple analytical solutions are found for the oscillation-mark profiles; these are found to agree reasonably well with the numerical solution in the earlier model and very well with fold-type oscillation marks that have been obtained in more recent experimental work. The benefits of this approach, when compared with time-consuming numerical simulations, are discussed in the context of auxiliary models for macrosegregation and thermomechanical stresses and strains.


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