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首页> 外文期刊>International Journal for Numerical Methods in Engineering >On configurational forces in the context of the finite element method
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On configurational forces in the context of the finite element method

机译:有限元方法中的构型力

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摘要

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 this 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.
机译:简要介绍了构型力理论以及基本的平衡定律。结果表明,在均质的无力的情况下,如果保持标准的力平衡,则该附加平衡定律被完全满足。在例如由有限元获得的近似解中,不能完全满足平衡,因此在离散化节点上会出现构型力。提出了在有限元方案中构造力平衡的实现。从三个主要方面讨论了配置力的使用。证明了如何使用构型力来检查和改善有限元解决方案。讨论了断裂力学中的示例以及材料不均匀性的问题。

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