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• W2099695713 abstract "This paper focuses on the effects upon the design point search of gradient discontinuities caused by non-smoothness of material constitutive models in the context of finite element reliability analysis. The response computation algorithm for the Menegotto-Pinto smooth material constitutive model is extended to response sensitivity analysis using the Direct Differentiation Method. Response sensitivity and reliability analysis results are compared for a structural system modelled using smooth and non-smooth material constitutive laws, respectively. Both material and discrete loading sensitivity parameters are considered. Structural reliability analyses are performed using the First-Order Reliability Method. Implications of using smooth versus non-smooth material constitutive models in finite element response, response sensitivity and reliability analyses are discussed. A sufficient condition on the smoothness of uni-axial material constitutive models for obtaining continuous finite element response sensitivities is stated and proved for the quasi-static case. The issue of continuity/discontinuity of response sensitivities for the dynamic case is discussed within the application examples." @default.
• W2099695713 created "2016-06-24" @default.
• W2099695713 creator A5037873608 @default.
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• W2099695713 date "2006-01-01" @default.
• W2099695713 modified "2023-09-23" @default.
• W2099695713 title "Finite element structural response sensitivity and reliability analyses using smooth versus non-smooth material constitutive models" @default.
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• W2099695713 doi "https://doi.org/10.1504/ijrs.2006.010688" @default.
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