Abstract
AbstractThe previously introduced 21‐node three‐dimensional solid element (Commun. Numer. Meth. Engng 1998; 14: 681–692) fulfills the physical contact requirements properly. In dynamic explicit impact problems, however, due to non‐positive nodal masses on the contact face the 21‐node element must be used with care. To overcome this problem, a 28‐node transient element as a certain case of a degenerated 20‐node standard hexahedral element of the serendipity family is investigated. Construction of the shape functions of the transition element is described. This element is established by putting 16 nodes on the top or bottom face of the basic 20‐node solid element for an effective connection between contact region (28‐node elements) and rest of the structure (20‐node elements). Comparisons with results calculated for the 3D‐contact problem using the combination of the 21‐node and 20‐node elements prove high accuracy and overall superiority of the present method. Two numerical examples are selected to demonstrate applicability of the new element proposed. Copyright © 2004 John Wiley & Sons, Ltd.
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