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Influence of anisotropy of KDP crystal on the surface shape deviation of slice by diamond wire saw

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Abstract

KDP crystal is an important functional crystal material used in the fields of laser frequency conversion. Slicing is the first process of KDP crystal processing and the KDP crystal is usually sliced by the diamond wire saw. As KDP crystal is an anisotropic material, the properties of KDP contact with different diamond grits on the diamond wire saw during slicing would be different. The anisotropic properties may lead to the deviation of the diamond wire saw in the thickness direction and form the surface shape deviation of slice. The surface shape deviation would affect the amount of material to be removed and the accuracy of crystal positioning. The commonly used crystal planes of KDP crystal are the (001), the double-frequency, and the triple-frequency crystal plane. In this paper, a model of diamond wire saw considering the anisotropy of KDP crystal is established to obtain the sawing forces, while the anisotropic properties of KDP crystal used in slicing are obtained through coordinate changes. The obtained sawing forces are then applied to the diamond wire saw to obtain the surface shape deviation. Besides, the influence of the tension force on the surface shape deviation is also considered. Based on the established model, the variation rule of surface shape deviation with the feed angle of diamond wire saw is obtained. Results in this paper can reduce the surface shape deviation of slice caused by the anisotropic properties of KDP crystal.

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The data and materials supporting the results of this article are included within the article.

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Abbreviations

C l :

Length of transverse crack

D :

Diameter of the diamond wire saw

D Z :

Deviation of the diamond wire saw in the Z direction

D Zmax :

Maximum value of deviation of the diamond wire saw in Z direction

d :

Diameter of the diamond grits

d 0 :

Average diameter of the diamond grits

d c :

Critical depth of KDP crystal

d Zmax :

Maximum value of the surface shape deviation of a slice

E :

Elastic modulus of KDP crystal

E d :

Degree of anisotropy

f n :

Normal force on the diamond wire saw

f nX :

Component of the normal force in the X direction

f nY :

Component of the normal force in the Y direction

f nZ :

Component of the normal force in the Z direction

f t :

Tangential force of a single diamond grits

H :

Hardness of KDP crystal

h c :

Depth of transverse cracks

h max :

Largest protrusion height

h ij :

Cutting depth of the diamond grit

h l :

Depth of plastic deformation zone

K c :

Fracture toughness of KDP crystal

l :

Contact length between the diamond wire saw and KDP crystal

l 1 :

Length of the diamond wire saw between the two guide wheels

l 2 :

Length of the diamond wire saw contacts with KDP crystal

P :

Nominal load of indentation

s :

Feed distance of diamond wire saw

s ij :

Flexibility coefficient of KDP crystal

T :

Tension force in the diamond wire saw

v f :

Feed speed of KDP crystal

vs :

Move speed of the diamond wire saw

α 0 :

Cosine value of the crystal direction and the X axis

α l :

A constant to calculate the depth of transverse cracks

β 0 :

Cosine value of the crystal direction and the Y axis

γ 0 :

Cosine value of the crystal direction and the Z axis

γ :

Feed angle of the diamond wire saw

γ 1 :

Feed angle of the diamond wire saw of (001) crystal plane

γ 2 :

Feed angle of the diamond wire saw of the double-frequency crystal plane

γ 3 :

Feed angle of the diamond wire saw of the triple-frequency crystal plane

η :

Density of diamond grits on the surface of diamond wire saw

θ ij :

Half vertex angle of the diamond grit

θ L :

Location angle of diamond in the section of diamond wire saw

ξ :

A constant to calculate the critical depth of cut

σ :

Standard deviation of the size of diamond grit

[hkl]:

A crystal orientation in the crystal

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (51575317) and the Key Research and Development Program of Shandong Province, China (2019JZZY020209, 2019GGX104007).

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Authors and Affiliations

  1. School of Mechanical Engineering, Shandong University, Jinan, 250061, China

    Zongqiang Li, Peiqi Ge, Wenbo Bi, Long Li & Chengyun Li

  2. Key Laboratory of High-Efficiency and Clean Mechanical Manufacture, Shandong University, Ministry of Education, Jinan, 250061, China

    Peiqi Ge & Wenbo Bi

Authors
  1. Zongqiang Li
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  2. Peiqi Ge
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  4. Long Li
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Contributions

Zongqiang Li contributed to the conception of the study.

Peiqi Ge contributed significantly to the analysis.

Wenbo Bi contributed to the manuscript preparation.

Long Li performed the data analyses and wrote the manuscript.

Chengyun Li helped perform the analysis with constructive discussions.

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Correspondence to Peiqi Ge.

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Li, Z., Ge, P., Bi, W. et al. Influence of anisotropy of KDP crystal on the surface shape deviation of slice by diamond wire saw. Int J Adv Manuf Technol 113, 1771–1785 (2021). https://doi.org/10.1007/s00170-021-06764-6

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  • DOI: https://doi.org/10.1007/s00170-021-06764-6

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