Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0982.74068
Miehe, Christian; Schröder, Jörg; Schotte, Jan
Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials. (English)
[J] Comput. Methods Appl. Mech. Eng. 171, No.3-4, 387-418 (1999). ISSN 0045-7825

Summary: The paper presents a framework for the treatment of a homogenized macro-continuum with locally attached micro-structure, which undergoes non-isothermal inelastic deformations at large strains. The proposed concept is applied to the simulation of texture evolution in polycrystalline metals, where the micro-structure consists of a representative assembly of single crystal grains. The deformation of this micro-structure is coupled with the local deformation at a typical material point of the macro-continuum by three alternative constraints of the microscopic fluctuation field. In a deformation-driven process, extensive macroscopic variables, like stresses and dissipation, are defined as volume averages of their microscopic counterparts in an accompanying local equilibrium state of the micro-structure. The proposed numerical implementation is based in the general setting on a finite element discretization of the macro-continuum which is locally coupled at each Gauss point with a finite element discretization of the attached micro-structure.\par In the first paper we set up the two coupled boundary value problems associated with the macro-continuum and the pointwise attached micro-structure, and consider aspects of their finite element solutions. The second part presents details of a robust algorithmic model of finite plasticity for single crystals which governs the response of the grains in a typical micro-structure. The paper concludes with some representative numerical examples by demonstrating the performance of the proposed concept with regard to the prediction of texture evolution in polycrystals.

MSC 2000:: *74S05 Finite element methods
74Q05 Homogenization in equilibrium problems
74C15 Large-strain, rate-independent theories
74A60 Micromechanical theories
82D35 Metals
74E15 Crystalline structure

Keywords: homogenized macro-continuum; micro-structure; non-isothermal inelastic deformation; large strain; texture evolution; polycrystalline metal; microscopic fluctuation field; macroscopic variables; finite element discretization; pointwise attached micro-structure; single crystal

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]