Extended Digital Nomenclature Code for Description of Complex Finite Elements and Generation of New Elements
In recent research (Dmitrochenko and Mikkola, 2011), a digital nomenclature code in the form dncm was proposed for a systematic classification of topology of finite elements (given by the dimension d and the number of nodes n ) and their kinematics (described by the number of coordinates per node c and a so-called vectorization multiplier m ). The digital code allows the kinematics of simple finite elements to be enumerated by a few integers; allowing the elements to be reconstructed without the need of their graphical representations. More complicated elements possess a set of nodal coordinates X that formally correspond to some code dncm ; however, their kinematics require that an auxiliary element ( d η ς μ) to be created using different topology η and kinematics ς, μ with a different set of nodal coordinates . Then, a transformation T toward coordinates X leads to an element systematically denoted by code , which is proposed in the current paper and called the extended digital nomenclature code. Examp...