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

Fredriksson, Per (author)
KTH,Hållfasthetslära (Inst.)
Gudmundson, Peter (author)
KTH,Hållfasthetslära (Inst.)
Mikkelsen, Lars Pilgaard (author)
Tech Univ Denmark, Risø Natl Lab Sustainable Energy, Mat Res Dept
KTH Hållfasthetslära (Inst(creator_code:org_t)
Elsevier BV, 2009
2009
English.
In: International Journal of Solids and Structures. - : Elsevier BV. - 0020-7683 .- 1879-2146. ; 46:22-23, s. 3977-3987
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • 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.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering (hsv//eng)

Keyword

Finite element method; Strain gradient plasticity; Metal matrix composites; Strengthening; Dislocations
Engineering mechanics
Teknisk mekanik

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