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oai:www.ideals.illinois.edu:2142/19716 2023-07-10 col_2142_5131 col_2142_14787 com_2142_5130 com_2142_9630 com_2142_234

Miller, Robert E. Thiel, George Henry 2011-05-07T12:16:15Z 2011-05-07T12:16:15Z 10000-01-01 1991 A new finite element for circular plates based on Mindlin's shear-deformable plate theory is developed. Unlike conventional plate elements, these new elements may be stacked on top of one another to model laminated plates. The elements assure continuity of the displacements between the layers, but not continuity of the traction vectors. The element does not account for interlaminar slip or debonding between the layers. Each layer in the laminated plate is allowed an independent rotation. Hence, the model gives more accurate results than classical lamination theory models. The plate element is more efficient than solid elements because it accurately models the structure while keeping the degrees of freedom per element to a minimum. Also, if one uses solid elements to model a laminated circular plate, many more elements would have to be used in the model to avoid loss of accuracy due to a large aspect ratio. The new element is also immune from shear locking (at least for radius to thickness ratios up to 500) without having to incorporate complex numerical integration schemes. In fact, the element's stiffness matrix may be integrated in closed form; this is not possible for most plate elements in the literature. The circular plate element is incorporated into a nonlinear finite element code based on the total Lagrangian formulation. The inclusion of the shear deformation allows this finite element to model the large deflection of laminated circular plates accurately and efficiently. Made available in DSpace on 2011-05-07T12:16:15Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9211010.pdf: 6828389 bytes, checksum: b7814fd9f7c0213cf9cc938107581e1f (MD5) Previous issue date: 1991 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:38:57Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:16:18-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9211010 (UMI)AAI9211010 http://hdl.handle.net/2142/19716 eng Copyright 1991 Thiel, George Henry Applied Mechanics Engineering, Aerospace Engineering, Civil Linear and nonlinear analyses of thick composite circular plates using the finite element method text Mechanical Science and Engineering Mechanical Science University of Illinois at Urbana-Champaign Dissertation Ph.D.