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Finite element structural response sensitivity and reliability analyses using smooth versus non-smooth material constitutive models

Author

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  • Michele Barbato
  • Joel P. Conte

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.

Suggested Citation

  • Michele Barbato & Joel P. Conte, 2006. "Finite element structural response sensitivity and reliability analyses using smooth versus non-smooth material constitutive models," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 1(1/2), pages 3-39.
    • Handle: RePEc:ids:ijrsaf:v:1:y:2006:i:1/2:p:3-39
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