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Description of a curved boundary shape without first derivative discontinuities
Author(s) -
Redmer J.,
Kuehne K.,
Dahl W.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620140713
Subject(s) - classification of discontinuities , boundary (topology) , differentiable function , directional derivative , mathematical analysis , domain (mathematical analysis) , mathematics , node (physics) , finite element method , enhanced data rates for gsm evolution , boundary value problem , geometry , position (finance) , element (criminal law) , function (biology) , structural engineering , computer science , engineering , law , political science , economics , biology , telecommunications , finance , evolutionary biology
For the two‐dimensional isoparametric 8‐node element an additive condition is formulated, so that the function describing the domain boundary is continually differentiable at the common nodes on the boundary. This condition will be satisfied by moving the mid‐side nodes into a special position. The advantage in using this modified element will be shown by an example of the elasto‐plastic calculation of a double‐edge notched specimen.

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