Coupled elastic-plastic thermomechanically assisted diffusion: Theory development, numerical implementation, and application

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A fully coupled thermomechanical diffusion theory describing the thermal and mechanically assisted mass transport of dilute mobile constituents in an elastic solid is extended to include the effects of elastic-plastic deformation. Using the principles of modern continuum mechanics and classical plasticity theory, balance laws and constitutive equations are derived for a continuum composed of an immobile, but deformable, parent material and a dilute mobile constituent. The resulting equations are cast into a finite element formulation for incorporation into a finite element code. This code serves as a tool for modeling thermomechanically assisted phenomena in elastic-plastic solids. A number of simplified ... continued below

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152 p.

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Weinacht, D.J. December 1, 1995.

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This thesis or dissertation 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 29 times . More information about this document can be viewed below.

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Description

A fully coupled thermomechanical diffusion theory describing the thermal and mechanically assisted mass transport of dilute mobile constituents in an elastic solid is extended to include the effects of elastic-plastic deformation. Using the principles of modern continuum mechanics and classical plasticity theory, balance laws and constitutive equations are derived for a continuum composed of an immobile, but deformable, parent material and a dilute mobile constituent. The resulting equations are cast into a finite element formulation for incorporation into a finite element code. This code serves as a tool for modeling thermomechanically assisted phenomena in elastic-plastic solids. A number of simplified problems for which analytical solutions can be derived are used to benchmark the theory and finite element code. Potential uses of the numerical implementation of the theory are demonstrated using two problems. Specifically, tritium diffusion in a titanium alloy and hydrogen diffusion in a multiphase stainless steel are examined.

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152 p.

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OSTI as DE96004208

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  • Other Information: TH: Thesis

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  • Other: DE96004208
  • Report No.: LA--13086-T
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 176804
  • Archival Resource Key: ark:/67531/metadc668198

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Office of Scientific & Technical Information Technical Reports

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  • December 1, 1995

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  • June 29, 2015, 9:42 p.m.

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  • Feb. 25, 2016, 2:16 p.m.

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Weinacht, D.J. Coupled elastic-plastic thermomechanically assisted diffusion: Theory development, numerical implementation, and application, thesis or dissertation, December 1, 1995; New Mexico. (digital.library.unt.edu/ark:/67531/metadc668198/: accessed October 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.