A universal form of internal displacement field based quadrilateral area coordinate method QACM-III

Abstract

Abstract. By supplement appropriate internal displacement field on the nodal displacement of the element, the complementary of displacement polynomial can be increased, so the accuracy of element can be improved and the element may be more insensitive to mesh distortion. But in order to keep compatibility of source element, internal displacement field should be researched according to different source elements. In this paper, based on generalized conforming theory, the third quadrilateral area coordinate method QACM-III was used to develop universal form for plane elements. This universal internal displacement field can be used easily for those plane elements formulated with QACM-III.