A displacement based FE formulation for steady state problems

Yuhong Yu

Research output: Thesis › PhD Thesis - Research UT, graduation UT

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Abstract

In this thesis a new displacement based formulation is developed for
elasto-plastic deformations in steady state problems. In this formulation the displacements are the primary variables, which is in contrast to the more common formulations in terms of the velocities as the primary variables. In a steady state process, a transient calculation is not required and only space discretizations are needed, without time discretizations. The evolution of the material variables is expressed as an integration along the streamlines. The resulting differential equation describes steady convection with source terms.

title = "A displacement based FE formulation for steady state problems",

abstract = "In this thesis a new displacement based formulation is developed for elasto-plastic deformations in steady state problems. In this formulation the displacements are the primary variables, which is in contrast to the more common formulations in terms of the velocities as the primary variables. In a steady state process, a transient calculation is not required and only space discretizations are needed, without time discretizations. The evolution of the material variables is expressed as an integration along the streamlines. The resulting differential equation describes steady convection with source terms.",

Research output: Thesis › PhD Thesis - Research UT, graduation UT

TY - THES

T1 - A displacement based FE formulation for steady state problems

AU - Yu, Yuhong

PY - 2005

Y1 - 2005

N2 - In this thesis a new displacement based formulation is developed for
elasto-plastic deformations in steady state problems. In this formulation the displacements are the primary variables, which is in contrast to the more common formulations in terms of the velocities as the primary variables. In a steady state process, a transient calculation is not required and only space discretizations are needed, without time discretizations. The evolution of the material variables is expressed as an integration along the streamlines. The resulting differential equation describes steady convection with source terms.

AB - In this thesis a new displacement based formulation is developed for
elasto-plastic deformations in steady state problems. In this formulation the displacements are the primary variables, which is in contrast to the more common formulations in terms of the velocities as the primary variables. In a steady state process, a transient calculation is not required and only space discretizations are needed, without time discretizations. The evolution of the material variables is expressed as an integration along the streamlines. The resulting differential equation describes steady convection with source terms.