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Direct Stiffness-Modification Route to Linear Consistency Between Incompatible Finite Element Meshes

In: Integral Methods in Science and Engineering

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  • Brian Driessen

Abstract

The standard master—slave method of tying two incompatible meshes together generally results in a stiffness matrix that does not satisfy linear consistency across the interface of the master and slave meshes. The work of [1] presents a method for modifying the uniform strain part of the stiffness matrices of the slave interface elements so that linear consistency across the interface is achieved. The tying method of [2] is based upon the uniform strain approach of [3], which has also been used to develop an element-level transition element [4]. Their method involves assigning and calculating gap volumes for each such slave element and taking partial derivatives of each such gap volume with respect to the unconstrained (independent) nodal degrees of freedom to achieve a modification to the uniform strain part of the strain displacement matrix of the element. This approach is both simple and appealing in concept.

Suggested Citation

  • Brian Driessen, 2002. "Direct Stiffness-Modification Route to Linear Consistency Between Incompatible Finite Element Meshes," Springer Books, in: Christian Constanda & Peter Schiavone & Andrew Mioduchowski (ed.), Integral Methods in Science and Engineering, chapter 12, pages 75-80, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0111-3_12
    DOI: 10.1007/978-1-4612-0111-3_12
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