A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
David FlanaganDepartment of Civil Engineering, Northwestern University, Evanston, Illinois, U.S.ATed BelytschkoDepartment of Civil Engineering, Northwestern University, Evanston, Illinois, U.S.A
1981en
ABI
Abstract
Abstract The treatment of zero energy modes which arise due to one‐point integration of first‐order isoparametric finite elements is addressed. A method for precisely isolating these modes for arbitrary geometry is developed. Two hourglass control schemes, viscous and elastic, are presented and examined. In addition, a convenient one‐point integration scheme which analytically integrates the element volume and uniform strain modes is presented.
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