A geometrically nonlinear shell element for hygrothermorheologically simple linear viscoelastic composites

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A triangular flat shell element for large deformation analysis of linear viscoelastic laminated composites is presented. Hygrothermorheologically simple materials are considered for which a change in the hygrothermal environment results in a horizontal shifting of the relaxation moduli curves on a log time scale, in addition to the usual hygrothermal loads. Recurrence relations are developed and implemented for the evaluation of the viscoelastic memory loads. The nonlinear deformation process is computed using an incremental/iterative approach with the Newton-Raphson Method used to find the incremental displacements in each step. The presented numerical examples consider the large deformation and stability of linear ... continued below

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Medium: P; Size: 60 pages

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HAMMERAND,DANIEL C. & KAPANIA,RAKESH K. May 1, 2000.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM, and Livermore, CA (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

A triangular flat shell element for large deformation analysis of linear viscoelastic laminated composites is presented. Hygrothermorheologically simple materials are considered for which a change in the hygrothermal environment results in a horizontal shifting of the relaxation moduli curves on a log time scale, in addition to the usual hygrothermal loads. Recurrence relations are developed and implemented for the evaluation of the viscoelastic memory loads. The nonlinear deformation process is computed using an incremental/iterative approach with the Newton-Raphson Method used to find the incremental displacements in each step. The presented numerical examples consider the large deformation and stability of linear viscoelastic structures under deformation-independent mechanical loads, deformation-dependent pressure loads, and thermal loads. Unlike elastic structures that have a single critical load value associated with a given snapping of buckling instability phenomenon, viscoelastic structures will usually exhibit a particular instability for a range of applied loads over a range of critical times. Both creep buckling and snap-through examples are presented here. In some cases, viscoelastic results are also obtained using the quasielastic method in which load-history effects are ignored, and time-varying viscoelastic properties are simply used in a series of elastic problems. The presented numerical examples demonstrate the capability and accuracy of the formulation.

Physical Description

Medium: P; Size: 60 pages

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OSTI as DE00755581

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  • Journal Name: AIAA Journal; Journal Volume: 38; Journal Issue: 12; Other Information: Submitted to AIAA Journal

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  • Report No.: SAND2000-1093J
  • Grant Number: AC04-94AL85000
  • DOI: 10.2514/2.900 | External Link
  • Office of Scientific & Technical Information Report Number: 755581
  • Archival Resource Key: ark:/67531/metadc708660

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  • May 1, 2000

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • April 11, 2016, 5:54 p.m.

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HAMMERAND,DANIEL C. & KAPANIA,RAKESH K. A geometrically nonlinear shell element for hygrothermorheologically simple linear viscoelastic composites, article, May 1, 2000; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc708660/: accessed October 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.