Numerical solution of non-linear creep problems with application to plates

Z. P. Bažant

doi:10.1016/0020-7683(71)90019-9

Numerical solution of non-linear creep problems with application to plates

Z. P. Bažant^*

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A general numerical method of time integration of non-linear integral-type creep problems is presented. This method reduces the creep problem to a sequence of elasticity problems with initial strains. Its practical feasibility and convergence is proved by the analysis of a rectangular plate, and the accuracy of various types of the method is empirically studied. For the special case of a degenerate memory function, an efficient, storage and time saving modification is derived. In addition, the numerical methods for rate-type creep are also studied.

Original language	English (US)
Pages (from-to)	83-97
Number of pages	15
Journal	International Journal of Solids and Structures
Volume	7
Issue number	1
DOIs	https://doi.org/10.1016/0020-7683(71)90019-9
State	Published - Jan 1971

ASJC Scopus subject areas

Modeling and Simulation
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/0020-7683(71)90019-9

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title = "Numerical solution of non-linear creep problems with application to plates",

abstract = "A general numerical method of time integration of non-linear integral-type creep problems is presented. This method reduces the creep problem to a sequence of elasticity problems with initial strains. Its practical feasibility and convergence is proved by the analysis of a rectangular plate, and the accuracy of various types of the method is empirically studied. For the special case of a degenerate memory function, an efficient, storage and time saving modification is derived. In addition, the numerical methods for rate-type creep are also studied.",

author = "Ba{\v z}ant, {Z. P.}",

note = "Funding Information: Acknowledgement-The present research was sponsored by Ford Science Foundation and carried out du ring 1967/68 at the University of Toronto, Department of Civil Engineering, under the supervision of Professor M. W. Huggins.",

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AU - Bažant, Z. P.

N1 - Funding Information: Acknowledgement-The present research was sponsored by Ford Science Foundation and carried out du ring 1967/68 at the University of Toronto, Department of Civil Engineering, under the supervision of Professor M. W. Huggins.

PY - 1971/1

Y1 - 1971/1

N2 - A general numerical method of time integration of non-linear integral-type creep problems is presented. This method reduces the creep problem to a sequence of elasticity problems with initial strains. Its practical feasibility and convergence is proved by the analysis of a rectangular plate, and the accuracy of various types of the method is empirically studied. For the special case of a degenerate memory function, an efficient, storage and time saving modification is derived. In addition, the numerical methods for rate-type creep are also studied.

AB - A general numerical method of time integration of non-linear integral-type creep problems is presented. This method reduces the creep problem to a sequence of elasticity problems with initial strains. Its practical feasibility and convergence is proved by the analysis of a rectangular plate, and the accuracy of various types of the method is empirically studied. For the special case of a degenerate memory function, an efficient, storage and time saving modification is derived. In addition, the numerical methods for rate-type creep are also studied.

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Numerical solution of non-linear creep problems with application to plates

Abstract

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