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Multiscale Modeling of Highly Heterogeneous MMCs
Author(s) -
Antretter T.,
Fischer F. D.,
Plankensteiner A. F.,
Rammerstorfer F. G.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19990791334
Subject(s) - micromechanics , microscale chemistry , materials science , martensite , composite material , mesoscale meteorology , matrix (chemical analysis) , quenching (fluorescence) , fracture (geology) , particle (ecology) , ductility (earth science) , residual stress , austenite , material properties , plasticity , mechanics , microstructure , mathematics , physics , composite number , mathematics education , oceanography , creep , quantum mechanics , meteorology , fluorescence , geology
A hierarchical modeling concept incorporating different material descriptions at appropriate length scales is presented and applied to High Speed Steel (HSS) in order to quantify the overall thermomechanical behavior. Such materials can be viewed as particulate metal matrix composites (MMCs) with a strongly clustered arrangement of linear‐elastic carbidic particles in an elastic‐plastic martensitic‐austenitic matrix. On the mesoscale mean field methods are used to describe the effective material behavior of the mesophases depending on instantaneous constituent properties and local fields. Plastic strains in the matrix show a strongly inhomogeneous distribution which hardly can be predicted by standard micromechanics based methods neglecting the mesostructure. On the microscale the influence of the geometrical paramters describing the stress distribution inside the inclusions is studied by means of quasi‐random structure unit cells. Statistical methods are employed in order to quantify the relationship between particle size and their probability of fracture. The role of residual stresses due to quenching of the material prior to mechanical loading and their beneficial effect on the particles is emphasized.