Identification of isotropic and orthotropic constitutive parameters by FEA-free energy-based inverse characterization method
| Autor: | Shen Shang, Joan Carletta, Shilpa Kunchum, Gun Jin Yun |
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| Rok vydání: | 2013 |
| Předmět: |
Materials science
business.industry Mechanical Engineering Constitutive equation Linear elasticity Mathematical analysis Isotropy Elastic energy Building and Construction Structural engineering Orthotropic material Finite element method Stress (mechanics) Mechanics of Materials business Civil and Structural Engineering Plane stress |
| Zdroj: | Structural Engineering and Mechanics. 45:471-494 |
| ISSN: | 1225-4568 |
| Popis: | In this paper, identification of isotropic and orthotropic linear elastic material constitutive parameters has been demonstrated by a FEA-free energy-based inverse analysis method. An important feature of the proposed method is that it requires no finite element (FE) simulation of the tested material. Full-field displacements calculated using digital image correlation (DIC) are used to compute DIC stress fields enforcing the equilibrium condition and DIC strain fields using interpolation functions. Boundary tractions and displacements are implicitly recast into an objective function that measures the energy residual of external work and internal elastic strain energy. The energy conservation principle states that the residual should be zero, and so minimizing this objective function inversely identifies the constitutive parameters. Synthetic data from simulated testing of isotropic materials and orthotropic composite materials under 2D plane stress conditions are used for verification of the proposed method. When identifying the constitutive parameters, it is beneficial to apply loadings in multiple directions, and in ways that create non-uniform stress distributions. The sensitivity of the parameter identification method to noise in both the measured full-field DIC displacements and loadings has been investigated. |
| Databáze: | OpenAIRE |
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