A Discontinuous Model to Study Fracture of Brittle Materials
In this paper, the partition of the unity property of finite element shape functions is used to introduce displacement discontinuities into finite elements. The discontinuous character of the displacement field is captured with the Heaviside step function. Using the partition of unity concept, the g...
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CTU Central Library
2004-01-01
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| Series: | Acta Polytechnica |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/614 |
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doaj-f3594fec39c84a0bbe7606ad6e006e902020-11-24T20:58:47ZengCTU Central LibraryActa Polytechnica1210-27091805-23632004-01-01445-6614A Discontinuous Model to Study Fracture of Brittle MaterialsK. De ProftW. P. De WildeIn this paper, the partition of the unity property of finite element shape functions is used to introduce displacement discontinuities into finite elements. The discontinuous character of the displacement field is captured with the Heaviside step function. Using the partition of unity concept, the governing equation of the continuum and the discontinuity are separated and are consequently described by different constitutive laws. Inside the discontinuity, a plasticity based constitutive law is used to describe the decrease of tractions in function of the crack opening while the continuum is assumed to remain elastic. The methodology will be described and validated with a comparison between numerical simulations and experimental results.This paper is dedicated to J. Sejnoha, TU Prague, with respect and admiration for his scientific achievement. https://ojs.cvut.cz/ojs/index.php/ap/article/view/614 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
K. De Proft W. P. De Wilde |
| spellingShingle |
K. De Proft W. P. De Wilde A Discontinuous Model to Study Fracture of Brittle Materials Acta Polytechnica |
| author_facet |
K. De Proft W. P. De Wilde |
| author_sort |
K. De Proft |
| title |
A Discontinuous Model to Study Fracture of Brittle Materials |
| title_short |
A Discontinuous Model to Study Fracture of Brittle Materials |
| title_full |
A Discontinuous Model to Study Fracture of Brittle Materials |
| title_fullStr |
A Discontinuous Model to Study Fracture of Brittle Materials |
| title_full_unstemmed |
A Discontinuous Model to Study Fracture of Brittle Materials |
| title_sort |
discontinuous model to study fracture of brittle materials |
| publisher |
CTU Central Library |
| series |
Acta Polytechnica |
| issn |
1210-2709 1805-2363 |
| publishDate |
2004-01-01 |
| description |
In this paper, the partition of the unity property of finite element shape functions is used to introduce displacement discontinuities into finite elements. The discontinuous character of the displacement field is captured with the Heaviside step function. Using the partition of unity concept, the governing equation of the continuum and the discontinuity are separated and are consequently described by different constitutive laws. Inside the discontinuity, a plasticity based constitutive law is used to describe the decrease of tractions in function of the crack opening while the continuum is assumed to remain elastic. The methodology will be described and validated with a comparison between numerical simulations and experimental results.This paper is dedicated to J. Sejnoha, TU Prague, with respect and admiration for his scientific achievement. |
| url |
https://ojs.cvut.cz/ojs/index.php/ap/article/view/614 |
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