Recent improvements of the non-linear transient dynamic structural computer programs EURDYN

This report describes a new version of the finite element computer programs EURDYN for elasto-plastic transient dynamic analysis of 2- and 3-D structures. A convected coordinate description (coordinates rotate but do not deform with the elements) accounts for large dislacements and rotations. A lumped explicit scheme is used for marching in time. The finite element library of EURDYN/1 includes the constant strain triangle (plane or axisymmetric), a recti-linear beam element and a conical shell element. EURDYN/2 employs isoparametric elements for plane stress, plane strain and axisymmetric situations. EURDYN /3 deals with thin shells in three-dimensional space. New achievements are mainly: from a theoretical point of view: new formulation for the treatment of axisymmetric problems with quadratic continuum elements and substitution of the 8-node serendipity element by a 9-node lagrange element, showing better wave propagation properties (EURDYN/2); development of a more efficient and precise conical shell element (EURDYN/1); from a programming point of view: introduction of efficient stress strain routines which extend the ability of the programs to treat sharp elastro-plastic stress waves; introduction of energy checks (external work compared to total internal energy). User's manual updates are included and a sample problem is treated