Abstract
The thermodynamic compatibility defined by the Drucker postulate applied to a phenomenological hysteretic material, belonging to a recently formulated class, is hereby investigated. Such a constitutive model is defined by means of a set of algebraic functions so that it does not require any iterative procedure to compute the response and its tangent operator. In this sense, the model is particularly feasible for dynamic analysis of structures. Moreover, its peculiar formulation permits the computation of thermodynamic compatibility conditions in closed form. It will be shown that, in general, the fulfillment of the Drucker postulate for arbitrary displacement ranges requires strong limitations of the constitutive parameters. Nevertheless, it is possible to determine a displacement compatibility range for arbitrary sets of parameters so that the Drucker postulate is fulfilled as long as the displacement amplitude does not exceed the computed threshold. Numerical applications are provided to test the computed compatibility conditions.
Highlights
Uniaxial constitutive models describing hysteretic load-response behaviors play a significant role in several engineering applications
The thermodynamic compatibility of the algebraic material presented by Vaiana et al [21], intended as the fulfillment of such postulate formulated by Drucker [7], has been investigated
Such a condition is not fulfilled by any possible set of constitutive parameters since it is proved that it depends on both the maximum tangent stiffness and the minimum secant stiffness that the model can attain within an interval
Summary
Uniaxial constitutive models describing hysteretic load-response behaviors play a significant role in several engineering applications. The research hereby presented introduces simple analytical conditions that must be fulfilled in order to ensure the thermodynamic compatibility of rate-independent hysteretic models and investigates their specialization for the case of the algebraic material presented in Vaiana et al [21] and belonging to the class formulated in Vaiana et al [20]. This permits to develop a conservative analytical condition based on the computation of the tangent and secant stiffness of the analyzed model Such a general condition is specialized for the case of the algebraic material proposed in [21] and the determination of analogous compatibility conditions defined by means of the constitutive parameters. The computed conditions are tested by numerical applications discussed before a few conclusions
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
