
High-gradient Characteristics and Bezier-based Element Modeling
in Engineering
Zeng Pan, Shi Gang, Kong Jin
(Dept. of Mehanical Engineering, Tsinghua University, Beijing 100084, China)
Abstracts: High-gradient is an important aspect of key characteristics in engineering. The paper focuses on the descriptions and the treatments of this characteristic, including approximations of polynomial, composite function and
Bezier-based function. Further more, some elements which are capable to describe
high-gradient, such as ID Bezier coupling element, 6-node triangle Bezier coupling element,
8-node rectangle Bezier coupling element, are constructed and derived.
Finally, some numerical examples are presented.
Keywords: High-gradient, element modeling, Bezier function.