Variational Approach to Static and Dynamic Elasticity Problems

2011 ◽  
pp. 131-158
Author(s):  
Georgy V. Kostin ◽  
Vasily V. Saurin
Keyword(s):  
Variational Approach ◽  
Dynamic Elasticity ◽  
Elasticity Problems

scholarly journals Evaluation of the stiffness matrix in static and dynamic elasticity problems

2017 ◽  
Vol 229 (1) ◽  
pp. 363-388 ◽  
Author(s):  
Eric Li ◽  
Z. C. He ◽  
G. R. Liu
Keyword(s):  
Stiffness Matrix ◽  
Dynamic Elasticity ◽  
Elasticity Problems

scholarly journals On a Method in Dynamic Elasticity Problems for Heterogeneous Wedge-Shaped Medium

2021 ◽  
Vol 273 ◽  
pp. 04002
Author(s):  
Vyacheslav Berkovich ◽  
Viсtor Poltinnikov
Keyword(s):  
Integral Equation ◽  
Wave Field ◽  
Boundary Integral Equation ◽  
Integral Transform ◽  
Boundary Integral ◽  
Geometric Characteristics ◽  
Dynamic Elasticity ◽  
Elasticity Problems ◽  
Steady Oscillations ◽  
Integral Transform Technique

The method of analysis of steady oscillations arising in the piecewise homogeneous wedge-shaped medium composed by two homogeneous elastic wedges with different mechanical and geometric characteristics is presented. Method is based on the distributions’ integral transform technique and allows reconstructing the wave field in the whole medium by displacement oscillations given in the domain on the boundary of the medium. The problem in question is reduced to a boundary integral equation (BIA). Solvability problems of the BIA are examined and the structure of its solution is established.

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