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Title: Determination of constitutive properties in inverse problem using airy stress function

Source: In: Residual stress, thermomechanics & infrared imaging, hybrid techniques and inverse problems. Volume 8. The Society for Experimental Mechanics, Inc.: 73-81. Chapter 12.

Author(s)Alshaya, A. ; Considine, John M.; Rowlands, R.

Publication Year: 2018  View PDF »

Category: Book Chapter
Associated Research Project(s):   FPL-4709-4B

Abstract: A new inverse problem formulation is developed using the Airy stress function. Inverse methods are used to determine the constitutive properties of a graphite/epoxy laminated composite loaded vertically by processing measured values of v-displacement component with an Airy stress function in complex variables. Displacements are recorded using digital image correlation. The traction-free conditions on the symmetrically located sided notches are satisfied analytically using conformal mappings and analytic continuation. The traction-free on the vertical free edge and a symmetrical condition on horizontal line of symmetry are imposed discretely. The primary advantage of this new formulation is the direct use of displacement data, eliminating the need for numerical differentiation when strain data is required. The inverse method algorithm determined the constitutive properties with errors range from 2% to 10%. Selection of Airy coefficients, test geometry configuration and comparison with other inverse methods will be addressed.

Keywords: Composites; airy stress function; inverse problems; digital image correlation; complex variables

Publication Review Process: Non-Refereed (Other)

File size: 387 kb(s)

Date posted: 09/27/2018
RITS Product ID: 92564
Current FPL Scientist associated with this product
Considine, John M.
Materials Research Engineer

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