Finite element implementation and numerical issues of strain gradient plasticity with application to metal matrix composites

QC 20100723. Uppdaterad från submitted till published (20100723).
A framework of finite element equations for strain gradient plasticity is presented. The theoretical framework requires plastic strain degrees of freedom in addition to displacements and a plane strain version is implemented into a commercial finite element code. A couple of different elements of quadrilateral type are examined and a few numerical issues are addressed related to these elements as well as to strain gradient plasticity theories in general. Numerical results are presented for an idealized cell model of a metal matrix composite under shear loading. It is shown that strengthening due to fiber size is captured but strengthening due to fiber shape is not. A few modelling aspects of this problem are discussed as well. An analytic solution is also presented which illustrates similarities to other theories.

TEKNIK OCH TEKNOLOGIER Maskinteknik hsv//swe
ENGINEERING AND TECHNOLOGY Mechanical Engineering hsv//eng
Finite element method; Strain gradient plasticity; Metal matrix composites; Strengthening; Dislocations
Engineering mechanics
Teknisk mekanik

Gudmundson, PeterKTH,Hållfasthetslära (Inst.)(Swepub:kth)u15xttyk (author)
Mikkelsen, Lars PilgaardTech Univ Denmark, Risø Natl Lab Sustainable Energy, Mat Res Dept (author)
KTHHållfasthetslära (Inst.) (creator_code:org_t)

In:International Journal of Solids and Structures: Elsevier BV46:22-23, s. 3977-39870020-76831879-2146

By the author/editor: Fredriksson, Per; Gudmundson, Pete ...; Mikkelsen, Lars ...

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