Stochastic shape sensitivity in powder metallurgy processing

Autor:	Andrzej Sluzalec
Rok vydání:	2012
Předmět:	Mathematical optimization Applied Mathematics Probabilistic logic Forming processes Control volume Finite element method Modeling and Simulation Modelling and Simulation Applied mathematics Cylinder Shape optimization Boundary value problem Sensitivity (control systems) Mathematics
Zdroj:	Applied Mathematical Modelling. 36(8):3743-3752
ISSN:	0307-904X
DOI:	10.1016/j.apm.2011.11.015
Popis:	Stochastic shape sensitivity in forming process of powder metallurgy materials is analyzed. For this purpose the rigid-poroplastic material model has been assumed. The theoretical formulation for stochastic shape sensitivity is described which presents probabilistic distributions taking into account random initial and boundary conditions. The control volume approach is discussed. Stochastic finite element equations for rigid – poroplastic materials are solved for the first two probabilistic moments. Numerical simulations were performed to illustrate shape sensitivity problems in the process of compression of rigid-poroplastic cylinder. The differences in deterministic and stochastic sensitivities are presented. The results derived can be used for the subsequent quantitative stochastic shape design as well as stochastic shape optimization.
Databáze:	OpenAIRE
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