SEACAS Theory Manuals: Part 1. Problem Formulation in Nonlinear Solid Mechancis

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This report gives an introduction to the basic concepts and principles involved in the formulation of nonlinear problems in solid mechanics. By way of motivation, the discussion begins with a survey of some of the important sources of nonlinearity in solid mechanics applications, using wherever possible simple one dimensional idealizations to demonstrate the physical concepts. This discussion is then generalized by presenting generic statements of initial/boundary value problems in solid mechanics, using linear elasticity as a template and encompassing such ideas as strong and weak forms of boundary value problems, boundary and initial conditions, and dynamic and quasistatic idealizations. The ... continued below

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Attaway, S.W.; Laursen, T.A. & Zadoks, R.I. August 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 18 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 gives an introduction to the basic concepts and principles involved in the formulation of nonlinear problems in solid mechanics. By way of motivation, the discussion begins with a survey of some of the important sources of nonlinearity in solid mechanics applications, using wherever possible simple one dimensional idealizations to demonstrate the physical concepts. This discussion is then generalized by presenting generic statements of initial/boundary value problems in solid mechanics, using linear elasticity as a template and encompassing such ideas as strong and weak forms of boundary value problems, boundary and initial conditions, and dynamic and quasistatic idealizations. The notational framework used for the linearized problem is then extended to account for finite deformation of possibly inelastic solids, providing the context for the descriptions of nonlinear continuum mechanics, constitutive modeling, and finite element technology given in three companion reports.

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  • Other: DE00001029
  • Report No.: SAND98-1760/1
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/1029 | External Link
  • Office of Scientific & Technical Information Report Number: 1029
  • Archival Resource Key: ark:/67531/metadc626500

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  • August 1, 1998

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  • 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 1. Problem Formulation in Nonlinear Solid Mechancis, report, August 1, 1998; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc626500/: accessed September 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.