Self-similar problems of the theory of elasticity of anisotropic inhomogeneous bodies for certain domains

1967 ◽  
Vol 3 (9) ◽  
pp. 36-41
Author(s):  
Daad Ali Al-Khussaini
Keyword(s):  
Theory Of Elasticity ◽  
Inhomogeneous Bodies ◽  
Self Similar

The Stress State in Inhomogeneous Elastic Beam at Combined Strength

2014 ◽  
Vol 501-504 ◽  
pp. 645-648 ◽  
Author(s):  
Vladimir I. Andreev ◽  
Elena V. Barmenkova ◽  
Alena V. Matveeva
Keyword(s):  
Inverse Problem ◽  
Stress State ◽  
Modulus Of Elasticity ◽  
Elastic Beam ◽  
Bending Moment ◽  
Optimization Method ◽  
Theory Of Elasticity ◽  
Simultaneous Action ◽  
Concentrated Force ◽  
Inhomogeneous Bodies

In paper describes a method of optimization the stress state of an elastic beam, subjected to the simultaneous action of the central application of concentrated force and bending moment. Optimization method based on solving the inverse problem of the theory of elasticity of inhomogeneous bodies, the essence of which is to determine the law of changing the modulus of elasticity on the beams height for which stress state will be given.

About One Way of Optimization of the Thick-Walled Shells

2012 ◽  
Vol 166-169 ◽  
pp. 354-358 ◽  
Author(s):  
Vladimir I. Andreev
Keyword(s):  
Inverse Problems ◽  
Theory Of Elasticity ◽  
Multilayer Shell ◽  
Polymer Concrete ◽  
Efficiency Ratio ◽  
Limit Loads ◽  
Equal Strength ◽  
Inhomogeneous Bodies

Abstract. The paper discusses a method of optimization of thick-walled shells on the basis of the solution of inverse problems theory of elasticity of inhomogeneous bodies. There are discussed the terms of equal-stress and equal-strength structures. The notion of efficiency ratio of equal-strength shell as the ratio of limit loads in heterogeneous and homogeneous shells. Constructed the model of a multilayer shell of polymer concrete for which the coefficient of efficiency is close to 2.

The Method of Separation of Variables in the Problem of Theory of Elasticity for Radially Inhomogeneous Cylinder

2015 ◽  
Vol 752-753 ◽  
pp. 593-598 ◽  
Author(s):  
Vladimir I. Andreev
Keyword(s):  
Circular Cylinder ◽  
Analytical Method ◽  
Separation Of Variables ◽  
Three Dimensional ◽  
Theory Of Elasticity ◽  
System Of Differential Equations ◽  
First Order ◽  
Inhomogeneous Bodies ◽  
Numerical Analytical Method ◽  
Radially Inhomogeneous

The article deals with the numerical-analytical method of solving problems in the theory of elasticity of inhomogeneous bodies in terms of displacements for a circular cylinder. We consider two-and three-dimensional problems. After separation of variables, the problem is reduced to the numerical solution of the system of differential equations of the first order.

Self-similar collapse with non-radial motions

2006 ◽  
Vol 20 ◽  
pp. 1-4
Author(s):  
A. Nusser
Keyword(s):  
Self Similar
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