工程陶瓷磨削加工性评价的有向图和矩阵法

Digraph and matrix methods for the grindability evaluation of engineering ceramics

提出一种工程陶瓷材料磨削加工性综合评价的新方法。应用有向图理论,以材料磨削加工性属性为顶点,以各属性之间的相互关系为边,建立陶瓷材料磨削加工性评价的有向图模型。根据有向图模型,建立磨削加工属性矩阵,并由矩阵的积和式函数计算出材料的磨削加工性指标,从而判断材料的磨削加工性。选择陶瓷材料的硬度、断裂韧性和弹性模量三个力学性能参数作为磨削加工属性,根据所提出的评价方法,对4种典型工程陶瓷材料的磨削加工性进行评价,并根据磨削加工性指标进行排序。通过磨削实验验证评价结果,有向图模型可以综合考虑多种属性及属性间的相互关系,可对陶瓷材料的磨削加工性做出正确、完整的评价。

A new method is proposed for grindability comprehensive evaluation of engineering ceramic materials based on the digraph theory. Grindability attributes of the materials are taken as the nodes and the correlations between attributes are taken as the edges. The digraph model for grindability evaluation of ceramics is set up. According to the digraph model, the grindability attribute matrix was constituted. Then grindability indexes of ceramic materials were calculated with permanent function and grindabilities of the ceramics were evaluated. In this paper, mechanical property parameters of ceramic materials, including vickers hardness, fracture toughness and elastic modulus, were selected as grindability attributes. Grindability of four typical engineering ceramics was evaluated and ranked with grindability indexes. The grinding experiments give further proof of evaluation results. Grindability attributes and their correlations can be taken into account simultaneously by digraph model. So the grindability of ceramics can be evaluated correctly and completely by this method.