A Finite Element Framework for Geotechnical Applications by Peter Fritz, Xiong Zheng

By Peter Fritz, Xiong Zheng

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Example text

Secondly, with this approach the high level modeling class FemElem is released from managing the StateVar hierarchy. Both StateVar and ElemStateVar are derived from FieldVar and must therefore be able to be identified through unique field variable IDs. Page 44 IMAGINE – an FE Framework Fig. g. ElemGStress or ElemGStrain, carry a "G" in their names which stands for "generic". e. subclasses must be defined to allow instantiation. An important responsibility of the subclasses derived from ElemGStrain is to provide the B matrix which yields a " strain" from a "displacement" by interpolation over an element.

An immediate consequence is that the element formulas are now no longer constant even if the element shape and interpolation functions remain the same, since the element formulas are derived from a given field variable type. This may suggest deriving element types for the individual field variables or combinations of them. , just similar to the widely used structural elements, like truss and beam elements. g. for Page 40 IMAGINE – an FE Framework material laws, DOFs, etc. This would lead to a rather complicated class tree, which would be difficult to maintain.

For semiconductor modeling. g. g. the rock mass itself) with only minor changes in their field variables. Therefore, the automatic mesh algorithms tested led to either too coarse a mesh for the lining, or to too many elements for the surrounding rock. Therefore, SuperElemRep has been added which relies on user specified superelements as input data. These may be defined in a way to avoid the problems mentioned above. The user may then instruct IMAGINE to subdivide these superelements, leading to a very regular mesh fully controlled by the user.

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