The objective of this paper is to gain insight into finite element discretizations of shells using the basic shell mathematical model and, in particular, regarding the sources of ‘‘locking’’. We briefly review the ‘‘basic shell mathematical model’’ and present a formulation of shell finite elements based on this model. These shell finite elements are equivalent to the widely-used continuum mech...

In this paper we introduce a new nonlinear shell model with the following properties. First, we show that, if the middle surface of the undeformed shell is elliptic, then this new nonlinear shell model possesses solutions which are also elliptic surfaces. Second, we show that, if in addition the middle surface of the undeformed shell is a portion of a sphere, then the total energy of this nonli...

We study the gross properties of even-even and N = Z nuclei with A = 48 64 using shell-model Monte Carlo methods. Our calculations account for all 0 h! con gurations in the fp-shell and employ the modi ed Kuo-Brown interaction KB3. We nd good agreement with data for masses and total B(E2) strengths, the latter employing e ective charges ep = 1:35e and en = 0:35e. The calculated total Gamow-Tell...

Results of large-basis shell-model calculations for nuclei with A = 7 − 11 are presented. The effective interactions used in the study were derived microscopically from the Reid93 potential and take into account the Coulomb potential as well as the charge dependence of T = 1 partial waves. For A = 7, a 6h̄Ω model space was used, while for the rest of the studied nuclides, the calculations were p...