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.
KeywordsMeasured Strain Stress Rate Inversion Method Plastic Strain Increment Rigorous Formulation
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