Weak formulation of mixed state equation and boundary value problem of laminated cylindrical shell

1999 ◽  
Vol 20 (2) ◽  
pp. 128-134 ◽  
Author(s):  
Ding Kewei ◽  
Tang Limin
Keyword(s):  
Cylindrical Shell ◽  
Boundary Value Problem ◽  
Mixed State ◽  
Boundary Value ◽  
State Equation ◽  
Weak Formulation ◽  
Laminated Cylindrical Shell

scholarly journals The Thermoelastic Dynamic Response of Thick Closed Laminated Shell

2005 ◽  
Vol 12 (4) ◽  
pp. 283-291 ◽  
Author(s):  
Ke Wei Ding
Keyword(s):  
Cylindrical Shell ◽  
Stress Distribution ◽  
Dynamic Response ◽  
Thermal Stresses ◽  
Hamilton Equation ◽  
State Equations ◽  
Weak Formulation ◽  
Laminated Shell ◽  
Arbitrary Precision ◽  
Laminated Cylindrical Shell

Giving up any assumptions about displacement models and stress distribution, weak formulation of mixed state equations including boundary conditions of laminated cylindrical shell are presented. Thermal stresses mixed Hamilton equation of closed cylindrical shell is established. The analytical solutions are obtained for the thermoelastic dynamic response of a thick closed laminated shell subjected to temperature variation. Every equation of elasticity can be satisfied, and all elastic constants can be taken into account. Arbitrary precision of a desired order can be obtained.

INTERACTION OF ELECTROMAGNETIC WAVES WITH THIN ROTATING CYLINDRICAL SHELL OF CONDUCTOR IN VICINITY OF WEAKLY GRAVITATING STRING

2005 ◽  
Vol 14 (01) ◽  
pp. 23-32
Author(s):  
A. T. MUMINOV
Keyword(s):  
Cylindrical Shell ◽  
Electromagnetic Wave ◽  
Boundary Value Problem ◽  
Electromagnetic Waves ◽  
Mass Density ◽  
Boundary Value ◽  
Wave Zone ◽  
Line Mass ◽  
Waves Interaction ◽  
Rotating Cylindrical Shell

The boundary value problem for electromagnetic waves interaction with thin rotating cylindrical shell of conductor in static cylindrical metric with weakly gravitating string has been solved analytically. Influence of line mass density on the string to the process under consideration is studied. It is shown that the increase of line mass density of the string diminishes effect of amplification of cylindrical electromagnetic wave under reflecting off conducting cylindrical rotating body in non-wave zone.

scholarly journals Positive Solutions of a General Discrete Dirichlet Boundary Value Problem

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Xinfu Li ◽  
Guang Zhang
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Dirichlet Boundary ◽  
Boundary Value ◽  
Finite Lattice ◽  
State Equation ◽  
Heat Diffusion ◽  
Dirichlet Boundary Value Problem ◽  
Monotone Method ◽  
The Maximum Principle

A steady state equation of the discrete heat diffusion can be obtained by the heat diffusion of particles or the difference method of the elliptic equations. In this paper, the nonexistence, existence, and uniqueness of positive solutions for a general discrete Dirichlet boundary value problem are considered by using the maximum principle, eigenvalue method, sub- and supersolution technique, and monotone method. All obtained results are new and valid on anyn-dimension finite lattice point domain. To the best of our knowledge, they are better than the results of the corresponding partial differential equations. In particular, the methods of proof are different.

scholarly journals Modeling 3D–1D Junction via Very-Weak Formulation

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 831
Author(s):  
Eduard Marušić-Paloka
Keyword(s):  
Boundary Condition ◽  
Boundary Value Problem ◽  
Asymptotic Analysis ◽  
Small Parameter ◽  
Ideal Fluid ◽  
Potential Flow ◽  
Boundary Value ◽  
Weak Sense ◽  
Effective Model ◽  
Weak Formulation

We study the potential flow of an ideal fluid through a domain that consists of a reservoir and a pipe connected to it. The ratio of the pipe’s thickness and its length is considered as a small parameter. Using the rigorous asymptotic analysis with respect to that small parameter, we derive an effective model governing the the junction between a 1D and a 3D fluid domain. The obtained boundary-value problem has a measure boundary condition with Dirac mass concentrated in the junction point and is understood in the very-weak sense.

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