SEACAS Theory Manuals: Part II. Nonlinear Continuum Mechanics

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Description

This report summarizes the key continuum mechanics concepts required for the systematic prescription and numerical solution of finite deformation solid mechanics problems. Topics surveyed include measures of deformation appropriate for media undergoing large deformations, stress measures appropriate for such problems, balance laws and their role in nonlinear continuum mechanics, the role of frame indifference in description of large deformation response, and the extension of these theories to encompass two dimensional idealizations, structural idealizations, and rigid body behavior. There are three companion reports that describe the problem formulation, constitutive modeling, and finite element technology for nonlinear continuum mechanics systems.

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Attaway, S.W.; Laursen, T.A. & Zadoks, R.I. September 1, 1998.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 61 times . More information about this report can be viewed below.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Laboratories, Albuquerque, NM, and Livermore, CA
    Place of Publication: Albuquerque, New Mexico

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Description

This report summarizes the key continuum mechanics concepts required for the systematic prescription and numerical solution of finite deformation solid mechanics problems. Topics surveyed include measures of deformation appropriate for media undergoing large deformations, stress measures appropriate for such problems, balance laws and their role in nonlinear continuum mechanics, the role of frame indifference in description of large deformation response, and the extension of these theories to encompass two dimensional idealizations, structural idealizations, and rigid body behavior. There are three companion reports that describe the problem formulation, constitutive modeling, and finite element technology for nonlinear continuum mechanics systems.

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  • Other: DE00001030
  • Report No.: SAND98-1760/2
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/1030 | External Link
  • Office of Scientific & Technical Information Report Number: 1030
  • Archival Resource Key: ark:/67531/metadc619060

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  • September 1, 1998

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • Dec. 9, 2016, 7:05 p.m.

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Attaway, S.W.; Laursen, T.A. & Zadoks, R.I. SEACAS Theory Manuals: Part II. Nonlinear Continuum Mechanics, report, September 1, 1998; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc619060/: accessed April 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.