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Experimental Mechanics

, Volume 29, Issue 4, pp 474–480 | Cite as

Hybrid elastostatic and thermostatic analysis from measured data

  • H. H. AbdelMohsen
  • Y. M. Huang
  • R. E. Rowlands
Article

Abstract

An effective hybrid method is demonstrated for stress analysis and heat transfer. Measured information is represented and differentiated analytically, while the number of unknown coefficients and amount of experimental input data needed are reduced through field equations. The approach is accurate, full-field, employs arbitrarily shaped elements, does not require a smoothing parameter and is well suited for computer-vision techniques. The concept is presently illustrated by moiré strain analysis, although it can be extended to other disciplines.

Keywords

Heat Transfer Mechanical Engineer Input Data Fluid Dynamics Measured Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Symbols

A

element area

Ao

hole area

a,b,c,d,f,g,h,k,k1,ℓ,pi,qi,Amn,Bmn,Ai,Bj

coefficients

c

plate dimension

e

divergence of the displacement vector

E

elastic modulus

G

shear modulus

m,n,i,j

indices and dummy variables

N*

number of independent coefficients

M,N

upper range onm andn

Pi

predicted value

p

pressure

r

radial position

Ro

hole radius

T

number of input quantities

Ti

theoretical value

Ui,u,v,w

displacements

ur,uθ

polar displacements

xo,yo

local origin

σ

normal stress

τ

shear stress

ν

Poisson's ratio

{ε}

engineering strain vector

{ω}

rotation vector

2

Laplace (harmonic) operator

4

biharmonic operator

ϕ

temperature

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Copyright information

© Society for Experimental Mechanics, Inc. 1989

Authors and Affiliations

  • H. H. AbdelMohsen
    • 1
  • Y. M. Huang
    • 2
  • R. E. Rowlands
    • 2
  1. 1.Applied Superconductivity CenterUniversity of WisconsinMadison
  2. 2.Mechanics DepartmentUniversity of WisconsinMadison

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