Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 355, Issue -, Pages 78-94Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2017.11.005
Keywords
Bimodulus; Inverse problem; Identification; Sensitivity analysis; FEM
Funding
- NSF [11572068]
- NKBRSF [2015CB057804]
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This paper presents a gradient based algorithm to solve inverse plane bimodular problems of identifying constitutive parameters, including tensile/compressive moduli and tensile/compressive Poisson's ratios. For the forward bimodular problem, a FE tangent stiffness matrix is derived facilitating the implementation of gradient based algorithms, for the inverse bimodular problem of identification, a two-level sensitivity analysis based strategy is proposed. Numerical verification in term of accuracy and efficiency is provided, and the impacts of initial guess, number of measurement points, regional inhomogeneity, and noisy data on the identification are taken into accounts. (c) 2017 Elsevier Inc. All rights reserved.
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