A combined experimental and numerical method for the solution of generalized elasticity problems

1980 ◽  
Vol 20 (10) ◽  
pp. 345-349 ◽  
Author(s):  
Boris M. Barishpolsky
Keyword(s):  
Numerical Method ◽  
Elasticity Problems

Numerical Analysis of Creep of an Indeterminate Composite Beam

1970 ◽  
Vol 37 (4) ◽  
pp. 1161-1164 ◽  
Author(s):  
Z. P. Bazˇant
Keyword(s):  
Numerical Analysis ◽  
Numerical Method ◽  
Composite Beam ◽  
General Relationship ◽  
Elasticity Problems ◽  
Finite Sums ◽  
Memory Type ◽  
Initial Strains ◽  
Creep Problem

Approximating the hereditary integrals by finite sums, a creep problem may be reduced to a succession of elasticity problems with initial strains. It is shown how the well-known general relationship between initial strains and equivalent loads may be applied to a composite beam on statically indeterminate supports. A highly accurate numerical method for memory-type creep problems is demonstrated and its convergence studied by means of examples.

scholarly journals A Numerical Method Based on Daubechies Wavelet Basis and B-Spline Patches for Elasticity Problems

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Yanan Liu ◽  
Keqin Din
Keyword(s):  
Numerical Method ◽  
Function Approximation ◽  
Plane Elasticity ◽  
Scaling Functions ◽  
Analysis Method ◽  
Problem Domain ◽  
B Spline ◽  
Uniform Grids ◽  
Elasticity Problems ◽  
2D Elasticity

The Daubechies (DB) wavelets are used for solving 2D plane elasticity problems. In order to improve the accuracy and stability in computation, the DB wavelet scaling functions in0,+∞)comprising boundary scaling functions are chosen as basis functions for approximation. The B-spline patches used in isogeometry analysis method are constructed to describe the problem domain. Through the isoparametric analysis approach, the function approximation and relevant computation based on DB wavelet functions are implemented on B-spline patches. This work makes an attempt to break the limitation that problems only can be discretized on uniform grids in the traditional wavelet numerical method. Numerical examples of 2D elasticity problems illustrate that this kind of analysis method is effective and stable.

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