A systematic development of ‘solid-shell’ element formulations for linear and non-linear analyses employing only displacement degrees of freedom

Autor: R. Hauptmann, Karl Schweizerhof
Rok vydání: 1998
Předmět:
Zdroj: International Journal for Numerical Methods in Engineering, 42 (1), 49-69
ISSN: 1097-0207
0029-5981
DOI: 10.1002/(sici)1097-0207(19980515)42:1<49::aid-nme349>3.0.co;2-2
Popis: In the present contribution we propose a so-called solid-shell concept which incorporates only displacement degrees of freedom. Thus, some major disadvantages of the usually used degenerated shell concept are overcome. These disadvantages are related to boundary conditions—the handling of soft and hard support, the need for special co-ordinate systems at boundaries, the connection with continuum elements—and, in geometrically non-linear analyses, to a complicated update of the rotation vector. First, the kinematics of the so-called solid-shell concept in analogy to the degenerated shell concept are introduced. Then several modifications of the solid-shell concept are proposed to obtain locking-free solid-shell elements, leading also to formulations which allow the use of general three-dimensional material laws and which are also able to represent the normal stresses and strains in thickness direction. Numerical analyses of geometrically linear and non-linear problems are finally performed using solely assumed natural shear strain elements with a linear approximation in in-plane direction. Although some considerations are needed to get comparable boundary conditions in the examples analysed, the solid-shell elements prove to work as good as the degenerated shell elements. The numerical examples show that neither thickness nor shear locking are present even for distorted element shapes. © 1998 John Wiley & Sons, Ltd.
Databáze: OpenAIRE
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