The finite element method provides a flexible and powerful framework in which polycrystal plasticity theory may be implemented. The relative sizes of crystals and elements may span orders of magnitude: elements may be small or large compared to crystals. When they are large the finite element discretization is of a continuum, with mechanical properties determined by interrogation of aggregates of crystals. When they are small they discretize the motion within the crystals themselves and have properties based on single crystal relations. In this paper we discuss the latter case, using the formulation to study the behavior of polycrystal ensembles under different loading conditions. The issue of variations in straining across crystals of a polycrystal is examined in detail both for an HCP material with differing degrees of pyramidal slip system strength in comparison to the prismatic system strength. The spatial variations in deformation influence the texture development in terms of the rate of texturing and the relative strengths of important texture components that emerge with deformation. The predicted responses are compared with those based on a Taylor hypothesis. Numerical aspects of performing the simulations are discussed, especially with respect to parallel computations both of the crystal and finite element tasks.
|Original language||English (US)|
|Number of pages||15|
|Journal||American Society of Mechanical Engineers, Aerospace Division (Publication) AD|
|State||Published - 1994|
ASJC Scopus subject areas
- Space and Planetary Science
- Mechanical Engineering