Mathematical model of thrust force for rotary ultrasonic drilling of brittle materials based on the ductile-to-brittle transition phenomenon

Abdelkawy, Abdallah; Hossam, Mohab; El-Hofy, Hassan

doi:10.1007/s00170-018-2943-4

Cited by 15 publications

(2 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This technology has been widely used in the deep-hole processing of hard and brittle materials. Abdelkawy et al [ 16 ] established a mathematical model for the normal force generated via rotary ultrasonic drilling (RUD) based on two fracture modes of material plasticity removal and brittleness removal. Through drilling experiments on soda glass, it was demonstrated that the normal force in drilling is influenced by feed rate, spindle rotation speed, ultrasonic amplitude, frequency, and cutter abrasive size.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling and Experimental Study of Cutting Force for Cutting Hard and Brittle Materials in Fixed Abrasive Trepanning Drill

Zou

et al. 2023

Micromachines

View full text Add to dashboard Cite

Hard and brittle materials have excellent physical and mechanical performance, which are widely applied in the fields of microelectronics and optoelectronics. However, deep-hole machining of hard and brittle materials is very difficult and inefficient due to the high hardness and brittleness of these materials. To improve the quality and efficiency of deep-hole machining of hard and brittle materials, according to the brittle crack fracture removal mechanism of hard and brittle materials and the cutting model of the trepanning cutter, an analytical cutting force prediction model of hard and brittle materials processed using a trepanning cutter is established. This experimental study of K9 optical glass machining shows that as the feeding rate increase, the cutting force increase, and as the spindle speed increase, the cutting force decrease. By comparing and verifying the theoretical and experimental values, the average errors of axial force and torque are 5.0% and 6.7%, respectively, and the maximum error is 14.9%. This paper analyzes the reasons for the errors. The results indicate that the cutting force theoretical model can be used to predict the axial force and torque of machining hard and brittle materials under the same conditions, which provides a theory for optimizing machining process parameters.

show abstract

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling and Experimental Study of Cutting Force for Cutting Hard and Brittle Materials in Fixed Abrasive Trepanning Drill

Zou

et al. 2023

Micromachines

View full text Add to dashboard Cite

show abstract

“…Furthermore, the authors developed a theoretical prediction model for the axial and transverse grinding force components based on individual grinding grains on the end face and side of the grinding wheel. Abdelkawy et al [23] .investigated ultrasonic-assisted drilling based on plastic-to-brittle transition. Lei et al [24] .…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Prediction Model of the Grinding Force in Ultrasonic-Assisted Grinding of ZrO2 Ceramics with Experimental Validation

Liu

Ding

et al. 2023

J. of Materi Eng and Perform

View full text Add to dashboard Cite

Zirconia is gradually used in manufacturing aerospace and other fields because of its excellent mechanical processing properties. Due to its hardness and brittleness, zirconia can easily cause excessive and unstable changes in grinding force during machining, resulting in extensive surface damage and poor surface quality. Therefore, it is important to establish an appropriate grinding force model and achieve accurate control and prediction of the grinding force. Ultrasonic-assisted grinding can reduce grinding forces, improve workpiece surface quality，and increase processing efficiency. However, the grinding force model for ultrasonic-assisted grinding is still not adequately investigated. In this study, a new method for predicting the axial force of ultrasonic-assisted grinding is proposed. Vickers hardness and indentation fracture theories combine two different methods: plastic removal and brittle fracture. Moreover, conventional and ultrasonic-assisted grinding tests are performed. Then, the relationship between grinding forces and process parameters is investigated using numerical statistical calculation methods. The grinding force data obtained from the test validate the theoretical model, with the average error between the theoretical and experimental values being 22.87%. The influence of machining variables on the grinding force is investigated, and experimental results of conventional al grinding and ultrasonic-assisted grinding are compared. It is found that the rotary ultrasonic-assisted grinding force can be reduced by up to 66.76%.

show abstract

Mathematical model for cutting force in ultrasonic-assisted milling of soda-lime glass

El-Taybany

El-Hofy

2019

Int J Adv Manuf Technol

View full text Add to dashboard Cite

Mathematical model of thrust force for rotary ultrasonic drilling of brittle materials based on the ductile-to-brittle transition phenomenon

Cited by 15 publications

References 25 publications

Mathematical Modeling and Experimental Study of Cutting Force for Cutting Hard and Brittle Materials in Fixed Abrasive Trepanning Drill

Mathematical Modeling and Experimental Study of Cutting Force for Cutting Hard and Brittle Materials in Fixed Abrasive Trepanning Drill

A Mathematical Prediction Model of the Grinding Force in Ultrasonic-Assisted Grinding of ZrO2 Ceramics with Experimental Validation

Mathematical model for cutting force in ultrasonic-assisted milling of soda-lime glass

Contact Info

Product

Resources

About