Identification of Stress from Strain for Body with Not Fully Identified Constitutive Relations
This paper presents a new inversion method to identify a distribution of stress from a distribution of measured strain for a body whose constitutive relations are not fully known. The present method yields well-posed boundary value problems for unknown stress. Local constitutive relations are then determined from relations between the measured strain and the predicted stress. This procedure is different from an ordinary analysis of finding constitutive relations, which is usually formulated as the parameter identification by assuming a form of the constitutive relations. The rigorous formulation of the inversion method is briefly presented. Also, three examples to which the present method has been applied are shown. The validity and the usefulness of the method are discussed in view of the results obtained.
KeywordsAnisotropy Gelatin Kato Suffix
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- Bui, H.D. (1994). Inverse Problem in the mechanics of materials: An introduction, CRC Press, New York.Google Scholar
- Hori, M., Kameda, T. and N. Hosokawa, N. (1999). Formulation of identifying material property distribution based on equivalent inclusion method, Structural Eng./Earthquake Eng., JSCE, 16, 1, 21–30.Google Scholar
- Hori, M. and Kameda, T. (2000). Inversion of stress from strain without fully knowing constitutive relations, J. Mech. Phys. Solids (in review process).Google Scholar
- Hori, M., Kameda, T. and Kato, T. (2000). Application of Inversion Method to GPS Network for Estimating Stress Increment In Japan, Geophys. J. Int. (in review process).Google Scholar
- Nemat-Nasser, S. and Hori, M. (1998). Micromechanics: Overall Properties of Heterogeneous Materials, Second Edition, North-Holland, London.Google Scholar