Performance of p-version curved shell element for singular problems
- Univ. of Kansas, Lawrence, KS (United States). Dept. of Mechanical Engineering
This paper presents an investigation of the performance of a completely hierarchical three dimensional p-version curved shell element for problems containing geometric and load or data singularities. Performance and limitations of the p-version curved shell element with progressively refined meshes in simulating stress singularities using h, p-adaptive processes for singular problems are investigated. The element formulation incorporates displacement approximation of arbitrary and different polynomial orders in the plane of the element ({xi} {eta}) as well as the transverse direction ({zeta}). The curved shell element approximation functions and the corresponding nodal variables are derived by first constructing the approximation functions of orders p{sub {xi}}, p{sub {eta}} and p{sub {zeta}} and the corresponding nodal variable operators for each of the three directions {xi}, {eta} and {zeta} and then taking their products. This procedure gives the approximation functions and the corresponding nodal variables for the polynomial orders p{sub {xi}}, p{sub {eta}} and p{sub {zeta}}. Both the element displacement functions and the nodal variables are hierarchical. The formulation guarantees C{sup 0} continuity or smoothness of the displacement field across the interelement boundaries. The performance and the limitations of the element in the presence of singularities is investigated using two standard test problems: pinched cylinder and Lockheed test problem 2.
- OSTI ID:
- 376035
- Report Number(s):
- CONF-960154-; ISBN 0-9648731-8-4; TRN: IM9642%%123
- Resource Relation:
- Conference: Energy Week `96: American Society of Mechanical Engineers and American Petroleum Institute energy week conference and exhibition, Houston, TX (United States), 21 Jan - 2 Feb 1996; Other Information: PBD: 1996; Related Information: Is Part Of Energy week `96: Conference papers. Book 5: Composite materials design and analysis; Surana, K.S. [ed.] [Univ. of Kansas, Lawrence, KS (United States)]; Kozik, T.J. [ed.] [Texas A and M Univ., College Station, TX (United States)]; PB: 498 p.
- Country of Publication:
- United States
- Language:
- English
Similar Records
P-version hierarchical axisymmetric shell element for heat conduction
{lambda} elements for singular problems in CFD: Non-Newtonian fluids