Performance of p-version laminated 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 p-version laminated curved shell element for problems containing geometric and load singularities. Limitations of the p-version laminated curved shell element with progressively refined meshes in simulating stress singularities using h, p-adaptive processes for singular problems are investigated. The element formulation is based on higher order (p-version) shear deformation theory incorporating transverse normal stress and strain. For the laminate, the element displacement approximation can be of arbitrary polynomial orders p{sub {xi}}, p{sub {eta}} and p{sub {zeta}} in the {xi}, {eta} and {zeta} directions, thereby permitting strains of at least (p{sub {xi}} {minus} 1), (p{sub {eta}} {minus} 1), and (p{sub {zeta}} {minus} 1) order. The element approximation functions as well as the nodal variables are hierarchical. The element formulation guarantees C{sup 0} continuity. The lamina properties are incorporated by numerically integrating the element stiffness matrix for each lamina. The formulation has no restriction on either the number of laminas or the lay-up pattern of the laminas. The geometry of the laminated shell element is described by the coordinates of the nodes lying on the middle surface of the element and the lamina thickness at each node. The element formulation is equally effective for very thin as well as very thick laminated plates and curved shells. The performance and limitations of the element formulation in the presence of geometric and load singularities is demonstrated by using two test problems: a laminated pinched cylinder and Lockheed test problem 2 with laminated construction.
- OSTI ID:
- 376036
- Report Number(s):
- CONF-960154--; ISBN 0-9648731-8-4
- Country of Publication:
- United States
- Language:
- English
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