Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous two‐dimensional bodies with a crack

2018 ◽  
Vol 99 (3) ◽  
pp. e201800268 ◽  
Author(s):  
Nyurgun Lazarev ◽  
Vladimir Everstov
Keyword(s):  
Rigid Inclusion ◽  
Equilibrium Problems ◽  
Optimal Location ◽  
Two Dimensional

Electric-current-induced thermal stress around a non-circular rigid inclusion in a two-dimensional nonlinear thermoelectric material

2020 ◽  
Vol 231 (11) ◽  
pp. 4603-4619
Author(s):  
Hai-Bing Yang ◽  
Chuan-Bin Yu ◽  
Jie-Yao Tang ◽  
Jian Qiu ◽  
Xiao-Qing Zhang
Keyword(s):  
Thermal Stress ◽  
Electric Current ◽  
Thermoelectric Material ◽  
Rigid Inclusion ◽  
Two Dimensional ◽  
Circular Rigid Inclusion

Green’s Functions for a Point Load and Dislocation in an Annular Region

1991 ◽  
Vol 58 (4) ◽  
pp. 954-959 ◽  
Author(s):  
R. E. Worden ◽  
L. M. Keer
Keyword(s):  
Analytic Continuation ◽  
Rigid Inclusion ◽  
Green's Functions ◽  
Green’S Functions ◽  
Point Load ◽  
Annular Region ◽  
Two Dimensional

This paper contains an analysis of a two-dimensional annular region whose inner boundary is that of either a hole or a perfectly bonded, rigid inclusion. Fast-converging Green’s functions for a point load or a dislocation on the annulus are determined using analytic continuation across the boundaries of the annulus.

INVERSE PROBLEMS OF PLASMA DISCHARGE CONTROL IN A TOKAMAK WITH IRON CORE

2020 ◽  
Vol 7 (2) ◽  
pp. 11-20
Author(s):  
VALERY ANDREEV ◽  
◽  
ALEXANDER MIKHAILOVICH POPOV
Keyword(s):  
Mathematical Model ◽  
Inverse Problems ◽  
Equilibrium Problem ◽  
Equilibrium Problems ◽  
Nonlinear Behavior ◽  
Plasma Discharge ◽  
Iron Core ◽  
Two Dimensional ◽  
Plasma Parameters ◽  
Kirchhoff Equations

A mathematical model has been developed to calculate the discharge scenario and program regime in the tokamak with taking into account the nonlinear behavior of the iron core. The model includes the solution of two-dimensional equilibrium problems, and the evolution of the integral parameters of the plasma is described by the Kirchhoff equations. An effective numerical algorithm is proposed that allows one to solve the incorrect inverse equilibrium problem when holding currents are found for a given geometry and plasma parameters to ensure this equilibrium. On the example of the tokamak T-15, the equilibria and the program regime are calculated.

The Principle of Asymptotic Proportionality

1990 ◽  
Vol 57 (1) ◽  
pp. 225-231
Author(s):  
H. C. M. Chan
Keyword(s):  
Function Method ◽  
Equilibrium Problems ◽  
Field Variable ◽  
Far Field ◽  
Elastic Media ◽  
Two Dimensional ◽  
Linear Elastic ◽  
Induced Stresses ◽  
Physical Phenomena ◽  
Physical Quantities

The Principle of Asymptotic Proportionality, which is based on the Green’s function method for equilibrium problems, is proposed. Using this principle, the induced far-field variable due to any distribution of applied physical quantities can be approximated. This principle has been verified by considering the induced stresses due to applied tractions and dislocations in two-dimensional linear elastic media, and has been shown to be applicable to other physical phenomena such as electrostatics, gravitation, and electromagnetism.

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