On configurational forces in the context of the finite element method
The theory of configurational forces is briefly recast, together with the underlying balance laws. It is shown, that in the case of a homogeneous body without body forces the additional balance laws are identically satisfied if the standard force balance holds. In approximate solutions, for example...
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| Veröffentlicht in: | International journal for numerical methods in engineering 2002-03, Vol.53 (7), p.1557-1574 |
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| container_end_page | 1574 |
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| container_issue | 7 |
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| container_title | International journal for numerical methods in engineering |
| container_volume | 53 |
| creator | Mueller, R. Kolling, S. Gross, D. |
| description | The theory of configurational forces is briefly recast, together with the underlying balance laws. It is shown, that in the case of a homogeneous body without body forces the additional balance laws are identically satisfied if the standard force balance holds. In approximate solutions, for example obtained by finite elements, the equilibrium is not satisfied exactly, thus configurational forces occur on discretization nodes. An implementation of the configurational force balance into the finite element scheme is presented. The use of configurational forces is discussed with three main aspects. It is demonstrated how configurational forces can be used to check and to improve the finite element solution. Examples from fracture mechanics and problems with material inhomogeneities are discussed. Copyright © 2001 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/nme.351 |
| format | Article |
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J. Numer. Meth. Engng</addtitle><description>The theory of configurational forces is briefly recast, together with the underlying balance laws. It is shown, that in the case of a homogeneous body without body forces the additional balance laws are identically satisfied if the standard force balance holds. In approximate solutions, for example obtained by finite elements, the equilibrium is not satisfied exactly, thus configurational forces occur on discretization nodes. An implementation of the configurational force balance into the finite element scheme is presented. The use of configurational forces is discussed with three main aspects. It is demonstrated how configurational forces can be used to check and to improve the finite element solution. Examples from fracture mechanics and problems with material inhomogeneities are discussed. 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| ispartof | International journal for numerical methods in engineering, 2002-03, Vol.53 (7), p.1557-1574 |
| issn | 0029-5981 1097-0207 |
| language | eng |
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| source | Wiley Online Library All Journals |
| subjects | configurational forces energy-momentum tensor (Eshelby) finite elements inhomogeneity J-integral material forces |
| title | On configurational forces in the context of the finite element method |
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