数式処理援用移動有限要素法とその動的破壊シミュレーションへの応用

概要

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Recently, the authors have shown that the combined method of the path-independent J' integral (dynamic J integral) and a moving isoparametric element procedure is an effective tool for the calculation of dynamic stress intensity factors. In the moving element procedure, the nodal pattern of the elements near a crack tip moves according to the motion of the crack-tip. An iterative numerical technique was used in the previous procedure to find the natural coordinates (ξ, η) at the newly created nodes. This technique requires additional computing time because of the nature of iteration. In the present paper, algebraic expressions for the transformation of the global coordinates (χ,y) to the natural coordinates (ξ,η) were obtained by using a computerized symbolic manipulation system (REDUCE 3.2). These algebraic expressions are also very useful for remeshing or zooming techniques often used in finite element analysis. The present moving finite element method demonstrates its effectiveness for the simulation of a fast fracture.
一般社団法人日本機械学会の論文
1988-06-25