Abstract

Numerical simulations of different ceramic production phases often involve complex constitutive models, with difficult calibration process, relying on a large number of experiments. Methodological developments, proposed in present paper regarding this calibration problem can be outlined as follows: assessment of constitutive parameters is performed through inverse analysis procedure, centered on minimization of discrepancy function which quantifies the difference between measurable quantities and their computed counterpart. Resulting minimization problem is solved through genetic algorithms, while the computational burden is made consistent with constraints of routine industrial applications by exploiting Reduced Order Model (ROM) based on proper orthogonal decomposition. Throughout minimization, a gradual enrichment of designed ROM is used, by including additional simulations. Such strategy turned out to be beneficial when applied to models with a large number of parameters. Developed procedure seems to be effective when dealing with complex constitutive models, that can give rise to non-continuous discrepancy function due to the numerical instabilities. Proposed approach is tested and experimentally validated on the calibration of modified Drucker-Prager CAP model, frequently adopted for ceramic powder pressing simulations. Assessed values are compared with those obtained by traditional, time-consuming tests, performed on pressed green bodies.

Highlights

  • Pressing and sintering are different manufacturing phases used to form parts starting from a powder

  • The present study aims at the development of a procedure for calibration of complex constitutive models used within pressing simulations, through Inverse Analysis (IA) methodology by means of data collected from pressing experiment only, without further experimentation on a green body

  • Material calibration procedure based on inverse analysis that is proposed and investigated in this study led to the conclusions which are briefly outlined in what follows

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Summary

Introduction

Pressing and sintering are different manufacturing phases used to form parts starting from a powder. The solution to the minimization problem defined by (4) directly provides values of sought constitutive parameters Such formulation provides an important advantage as the material parameters are obtained straight from measured quantities within the powder pressing experiment, with no further experimentation needed on green bodies. The application of mathematical programming first-order Trust Region Algorithm, as the most efficient tool to find the numerical solution of minimization problems of the type given by (4), turned out to be inapplicable in the present case Such circumstance is related to the large complexity of constitutive model subjected to the calibration, with unstable numerical simulations for certain parameter combinations.

Reduced order model with controllable enrichment
Adopted experiment and related numerical modeling
Results and discussion
Conclusion
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