Various forms of the strain-displacement relations applied to experimental strain analysis
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Small rotations—large strains
Small strains—large rotations
Small strains—small rotations
The development will be made for two definitions of strain: (a) ratio of change of length to initial length (Lagrangian description), and (b) ratio of change of length to final length (Eulerian description).
An example of the error introduced when each of the modified expressions is used is analyzed and graphically represented. Applications to several experimental strain-analysis methods are reviewed. The general relation and each of the modified forms are illustrated with the moiré pattern of a uniform strain field subjected to the conditions of the three special cases.
KeywordsMechanical Engineer General Relation Fluid Dynamics Modify Form Strain Field
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