Nonlinear problems in two-dimensional elasticity theory for multiply connected media

1969 ◽  
Vol 5 (8) ◽  
pp. 834-839 ◽  
Author(s):  
S. M. Kloizner ◽  
A. S. Kosmodamianskii
Keyword(s):  
Elasticity Theory ◽  
Nonlinear Problems ◽  
Two Dimensional ◽  
Multiply Connected

Dynamic Response of Surface-Moored Vertical Barrier to Wave Action by Analog and Digital Simulation

1974 ◽  
Vol 96 (1) ◽  
pp. 335-342
Author(s):  
J. R. Fowler ◽  
E. I. Bailey
Keyword(s):  
Theoretical Model ◽  
Digital Simulation ◽  
Nonlinear Problems ◽  
Analog Computer ◽  
Two Dimensional ◽  
Test Program ◽  
Analog Simulation ◽  
Vertical Barrier ◽  
Amplitude Data ◽  
Lab Test

The two-dimensional dynamics of an oil containment barrier, which was designed to have very low tensile loads due to current and waves, were simulated with a theoretical model. The model was solved on both analog and digital computers, and a lab test program conducted to verify the model. For nonlinear problems such as this, for which “exact” solutions do not exist, the analog computer has many advantages, principally rapid parameter studies and convenient plotting output, plus giving the engineer a real time “feel” for the problem. The problem treated here was especially well-suited to analog simulation. Charts and graphs present maximum force and amplitude data, and experimental verification of the solution was obtained from wave tank studies.

scholarly journals Point defects in two-dimensional colloidal crystals: simulation vs. elasticity theory

Soft Matter ◽  
2009 ◽  
Vol 5 (3) ◽  
pp. 646-659 ◽  
Author(s):  
Wolfgang Lechner ◽  
Christoph Dellago
Keyword(s):  
Elasticity Theory ◽  
Point Defects ◽  
Colloidal Crystals ◽  
Two Dimensional

scholarly journals Word representation of streamline topologies for structurally stable vortex flows in multiply connected domains

2013 ◽  
Vol 469 (2150) ◽  
pp. 20120558 ◽  
Author(s):  
Tomoo Yokoyama ◽  
Takashi Sakajo
Keyword(s):  
Stream Function ◽  
Contour Plot ◽  
Hamiltonian Vector Field ◽  
Multiply Connected Domains ◽  
Two Dimensional ◽  
Inviscid Flows ◽  
Multiply Connected ◽  
Word Representation ◽  
Multiple Obstacles ◽  
Structurally Stable

Let us consider incompressible and inviscid flows in two-dimensional domains with multiple obstacles. The instantaneous velocity field becomes a Hamiltonian vector field defined from the stream function, and it is topologically characterized by the streamline pattern that corresponds to the contour plot of the stream function. The present paper provides us with a procedure to construct structurally stable streamline patterns generated by finitely many point vortices in the presence of the uniform flow. Starting from some basic structurally stable streamline patterns in a disc of low genus, i.e. a disc with a small number of holes, we repeat some fundamental operations that append a streamline pattern by increasing one genus to them. Owing to the inductive procedure, one can assign a sequence of operations as a representing word to each structurally stable streamline pattern. We also give the canonical expression for the word representation, which allows us to make a catalogue of all possible structurally stable streamline patterns in a combinatorial manner. As an example, we show all streamline patterns in the discs of genus 1 and 2.

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