homtools : an homogeneisation toolbox for abaqus...
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![Page 1: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/1.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 1 : part creation (in this case merging two sphere and a cube)1st example: rigid spherical inclusions in an elastic media
![Page 2: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/2.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 2 : properties assignment, in this case two elastic and isotropic behavior but homtools is not limited to a particular behavior
1st example: rigid spherical inclusions in an elastic media
![Page 3: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/3.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 3 : step definition, in this linear (small strain) but homtools can be used with nlgeom option
1st example: rigid spherical inclusions in an elastic media
![Page 4: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/4.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 4 : mesh definition,Homtools required a mesh to generate linear equations on the boundary. For each meshing modification the equations needs to be re-generated by homtools (old equations needs to be previously deleted)
1st example: rigid spherical inclusions in an elastic media
![Page 5: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/5.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 5 : Homtools is avaible from the plug-ins menu in the interaction module.1st example: rigid spherical inclusions in an elastic media
![Page 6: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/6.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 5 : Reference points creations for macro stress or strain (two ref points are needed in the case of small strain)
1st example: rigid spherical inclusions in an elastic media
![Page 7: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/7.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 5 : Choice of a homogeneisation method : in this case Kinematic Uniform Boundary Conditions (KUBC)
1st example: rigid spherical inclusions in an elastic media
![Page 8: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/8.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 5 : The two ref points are selected and 6 faces of the cube define the boundary sets
1st example: rigid spherical inclusions in an elastic media
![Page 9: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/9.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 5 : Homtools generates the constraint equations (linear relations between ref nodes and boundary nodes) on the boundary sets
1st example: rigid spherical inclusions in an elastic media
![Page 10: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/10.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 6 : Macro strains (resp. stresses) are defined from displacement boundary conditions (resp. cload condition) specified at the ref nodes. In this case (3D small strains) at ref node 1 we have E11,E22,E33 and 2E12,2E13,2E23 at ref node 2.
1st example: rigid spherical inclusions in an elastic media
![Page 11: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/11.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 7 : Job submission and local results, nothing special compare standard results1st example: rigid spherical inclusions in an elastic media
![Page 12: HOMTOOLS : An homogeneisation toolbox for Abaqus CAEhomtools.lma.cnrs-mrs.fr/.../IMG/pdf/tutorial.pdf · HOMTOOLS : An homogeneisation toolbox for Abaqus CAE step 2 : properties assignment,](https://reader031.vdocument.in/reader031/viewer/2022012303/5a8324e47f8b9a9d308e8e23/html5/thumbnails/12.jpg)
HOMTOOLS : An homogeneisation toolbox for Abaqus CAE
step 7 : Macro stress/strain relationship is easily obtained by creating xydata from odbfield at reference points. Macro strain correspond to variable U, macro stress correspond to variable RF at ref nodes.
1st example: rigid spherical inclusions in an elastic media