Inelastic deformation of ceramic powders (and of a broad class of rock-like and granular materials), can be described with the yield function proposed by Bigoni and Piccolroaz (2004. Yield criteria for quasibrittle and frictional materials. Int J Solids Struct, 41:2855–78). This yield function is not defined outside the yield locus, so that ‘gradient-based’ integration algorithms of elastoplasticity cannot be directly employed. Therefore, we propose two ad hoc algorithms: (i) an explicit integration scheme based on a forward Euler technique with a ‘centre-of-mass’ return correction and (ii) an implicit integration scheme based on a ‘cutoff-substepping’ return algorithm. Iso-error maps and comparisons of the results provided by the two algorithms with two exact solutions (the compaction of a ceramic powder against a rigid spherical cup and the expansion of a thick spherical shell made up of a green body), show that both the proposed algorithms perform correctly and accurately.

Integration algorithms of elastoplasticity for ceramic powder compaction / Penasa, Massimo; Piccolroaz, Andrea; Argani, Luca Prakash; Bigoni, Davide. - In: JOURNAL OF THE EUROPEAN CERAMIC SOCIETY. - ISSN 0955-2219. - STAMPA. - 34:(2014), pp. 2775-2788. [10.1016/j.jeurceramsoc.2014.01.041]

Integration algorithms of elastoplasticity for ceramic powder compaction

Penasa, Massimo;Piccolroaz, Andrea;Argani, Luca Prakash;Bigoni, Davide
2014

Abstract

Inelastic deformation of ceramic powders (and of a broad class of rock-like and granular materials), can be described with the yield function proposed by Bigoni and Piccolroaz (2004. Yield criteria for quasibrittle and frictional materials. Int J Solids Struct, 41:2855–78). This yield function is not defined outside the yield locus, so that ‘gradient-based’ integration algorithms of elastoplasticity cannot be directly employed. Therefore, we propose two ad hoc algorithms: (i) an explicit integration scheme based on a forward Euler technique with a ‘centre-of-mass’ return correction and (ii) an implicit integration scheme based on a ‘cutoff-substepping’ return algorithm. Iso-error maps and comparisons of the results provided by the two algorithms with two exact solutions (the compaction of a ceramic powder against a rigid spherical cup and the expansion of a thick spherical shell made up of a green body), show that both the proposed algorithms perform correctly and accurately.
Penasa, Massimo; Piccolroaz, Andrea; Argani, Luca Prakash; Bigoni, Davide
Integration algorithms of elastoplasticity for ceramic powder compaction / Penasa, Massimo; Piccolroaz, Andrea; Argani, Luca Prakash; Bigoni, Davide. - In: JOURNAL OF THE EUROPEAN CERAMIC SOCIETY. - ISSN 0955-2219. - STAMPA. - 34:(2014), pp. 2775-2788. [10.1016/j.jeurceramsoc.2014.01.041]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/98832
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