A large strain finite element formulation for one dimensional membrane elements
A finite element formulation suitable for large strain analysis of one-dimensional membranes is described which has applications to the analysis of problems in soil mechanics involving reinforced earth. The finite element equations, which are derived for a plane strain iso-parametric element of arbi...
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| Format: | Journal article |
| Language: | English |
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1986
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| _version_ | 1797055455672926208 |
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| author | Burd, H Houlsby, G |
| author_facet | Burd, H Houlsby, G |
| author_sort | Burd, H |
| collection | OXFORD |
| description | A finite element formulation suitable for large strain analysis of one-dimensional membranes is described which has applications to the analysis of problems in soil mechanics involving reinforced earth. The finite element equations, which are derived for a plane strain iso-parametric element of arbitrary order, are cast in the familiar small displacement form, but with a modified material stiffness matrix. In this formulation, full account is taken of element rotations during each load step, an effect which is important when stresses cease to be insignificant when compared with the material modulus. The method is illustrated with reference to a large displacement test problem which has a known closed form solution. An example is included demonstrating the application of the formulation to the analysis of a reinforced unpaved road. © 1986. |
| first_indexed | 2024-03-06T19:10:59Z |
| format | Journal article |
| id | oxford-uuid:16c29e95-072a-45b9-9cb5-bb2b4fe069e0 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:10:59Z |
| publishDate | 1986 |
| record_format | dspace |
| spelling | oxford-uuid:16c29e95-072a-45b9-9cb5-bb2b4fe069e02022-03-26T10:33:13ZA large strain finite element formulation for one dimensional membrane elementsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:16c29e95-072a-45b9-9cb5-bb2b4fe069e0EnglishSymplectic Elements at Oxford1986Burd, HHoulsby, GA finite element formulation suitable for large strain analysis of one-dimensional membranes is described which has applications to the analysis of problems in soil mechanics involving reinforced earth. The finite element equations, which are derived for a plane strain iso-parametric element of arbitrary order, are cast in the familiar small displacement form, but with a modified material stiffness matrix. In this formulation, full account is taken of element rotations during each load step, an effect which is important when stresses cease to be insignificant when compared with the material modulus. The method is illustrated with reference to a large displacement test problem which has a known closed form solution. An example is included demonstrating the application of the formulation to the analysis of a reinforced unpaved road. © 1986. |
| spellingShingle | Burd, H Houlsby, G A large strain finite element formulation for one dimensional membrane elements |
| title | A large strain finite element formulation for one dimensional membrane elements |
| title_full | A large strain finite element formulation for one dimensional membrane elements |
| title_fullStr | A large strain finite element formulation for one dimensional membrane elements |
| title_full_unstemmed | A large strain finite element formulation for one dimensional membrane elements |
| title_short | A large strain finite element formulation for one dimensional membrane elements |
| title_sort | large strain finite element formulation for one dimensional membrane elements |
| work_keys_str_mv | AT burdh alargestrainfiniteelementformulationforonedimensionalmembraneelements AT houlsbyg alargestrainfiniteelementformulationforonedimensionalmembraneelements AT burdh largestrainfiniteelementformulationforonedimensionalmembraneelements AT houlsbyg largestrainfiniteelementformulationforonedimensionalmembraneelements |