Chinese Journal of Lasers, Volume. 49, Issue 14, 1402207(2022)

Effect Prediction of Stress and Deformation for Laser Additive Manufacturing of Characteristic Structure Based on Inherent Strain Method

Qingyuan Yin, Huiliang Wei*, Changchun Zhang, Tingting Liu, and Wenhe Liao
Author Affiliations
  • School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
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    Figures & Tables(25)
    Model and scanning strategy. (a) Meshing; (b) scanning without interlayer rotation
    Distributions of temperature field and stress field during printing of first layer. (a) Temperature field; (b) stress field
    Meshing of thin-walled structure
    Deformation of thin-walled structure using two methods
    Residual stress of thin-walled structure using two methods. (a) Inherent strain method; (b) thermal-elastic-plastic model
    3D models and mesh generations of typical characteristic structures. (a) Crossed thin wall; (b) unsupported cantilever beam (short); (c) unsupported cantilever beam (long); (d) supported cantilever beam; (e) suspended circular hole
    Scanning strategies of crossed thin wall. (a) 0° line scanning; (b) 45° line scanning; (c) thickness directional line scanning; (d) 90° rotation scanning
    x-directional deformations of crossed thin-walled structure under four scanning strategies. (a) 0° line scanning; (b) 45° line scanning; (c) thickness directional line scanning; (d) 90° rotation scanning
    y-directional deformations of crossed thin-walled structure under four scanning strategies. (a) 0° line scanning; (b) 45° line scanning; (c) thickness directional line scanning; (d) 90° rotation scanning
    Deformations of crossed thin-walled structures with different printing heights. x-directional deformation: (a) 10 mm, (b) 20 mm, (c) 40 mm; y-directional deformation: (d) 10 mm, (e) 20 mm, (f) 40 mm
    Deformation of edge side of crossed thin-walled structure for different scanning strategies. (a) x-directional deformation; (b) y-directional deformation
    Deformations of five different height points on edge side of crossed thin-walled structure for 0° line scanning. (a) x-directional deformation; (b) y-directional deformation
    Deformations of unsupported cantilever beams with different lengths. (a) 60 mm; (b) 30 mm
    Scanning strategies of supported cantilever beam. (a) 0° line scanning; (b) 45° line scanning; (c) 90° line scanning; (d) 90° rotation scanning
    Deformation of supported cantilever beam after cutting under four scanning strategies. (a) 0° line scanning; (b) 45° line scanning; (c) 90° line scanning; (d) 90° rotation scanning
    Length directional deformations of cantilever beams under different scanning strategies
    Scanning strategies of suspended circular hole. (a) 0° line scanning; (b) 45° line scanning; (c) 90° line scanning; (d) 90° rotation scanning
    Deformation of suspended circular hole after cutting under four scanning strategies. (a) 0° line scanning; (b) 45° line scanning; (c) 90° line scanning; (d) 90° rotation scanning
    Residual stresses of suspended circular holes with different printing heights. (a) Residual stress along x direction; (b) residual stress along y direction; (c) residual stress along z direction
    Residual stress of suspension circular hole before and after cutting. (a) Residual stress along x direction; (b) residual stress along y direction; (c) residual stress along z direction
    • Table 1. Process parameters used for LPBF of Ti-6Al-4V

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      Table 1. Process parameters used for LPBF of Ti-6Al-4V

      Process parameterValue
      Laser power /W150
      Laser scan speed /(m·s-1)1.2
      Radius of laser spot /μm50
      Emissivity0.3
      Hatch spacing /μm100
      Optical penetration depth /μm65
    • Table 2. Thermo-physical parameter of Ti-6Al-4V[30]

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      Table 2. Thermo-physical parameter of Ti-6Al-4V[30]

      Thermo-physical parameterContent
      Solidus temperature /K1878
      Liquidus temperature /K1928
      Thermal conductivity [W/(m·K)]1.57+1.6×10-2T-7×10-6T2 @273-2273 K
      Specific heat [J/(kg·K)]512.4+0.15T-1×10-6T2 @273-2273 K
      Density /(kg·m-3)4000
    • Table 3. Mechanical properties of Ti-6Al-4V[6]

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      Table 3. Mechanical properties of Ti-6Al-4V[6]

      Temperature /KYoung’s modulus /(109 Pa)Poisson’s ratioThermal expansion coefficient /(10-5 K-1)Temperature /KYield stress /(108 Pa)
      3001.25×1020.3458.76×10-13009.55
      5331.10×1020.359.83×10-15738.36
      5891.00×1020.371.007737.32
      7009.30×100.431.0710235.81
      7558.00×100.431.1110735.47
      8117.40×100.431.1211734.8
      9235.50×100.431.1712734.05
      10732.70×100.431.2213733.3
      10982.20×100.431.23--
      11231.80×100.431.24--
      15731.20×100.431.30--
      18739.000.431.63--
    • Table 4. Dimensional sizes of typical characteristic structures

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      Table 4. Dimensional sizes of typical characteristic structures

      Typical characteristic structureDimensional size
      Crossed thin wallL=60 mm,W=60 mm,H=40 mm,δ2=10 mm
      Unsupported cantilever beam (short)L=30 mm,W=7.5 mm,H=16 mm,δ1=5 mm
      Unsupported cantilever beam (long)L=60 mm,W=7.5 mm,H=16 mm,δ1=5 mm
      Supported cantilever beamL=60 mm,W=10 mm,H=16 mm,δ1=5 mm
      Suspended circular holeL=20 mm,W=10 mm,H=8 mm,φ=4 mm
    • Table 5. Mesh sizes, numbers of elements and equivalent layer thicknesses of typical characteristic structures

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      Table 5. Mesh sizes, numbers of elements and equivalent layer thicknesses of typical characteristic structures

      Typical characteristic structureMesh size /mmNumber of elementsEquivalent layer thickness /mm
      Crossed thin wall1440001
      Unsupported cantilever beam (short)0.5169200.5
      Unsupported cantilever beam (long)0.5259200.5
      Supported cantilever beam0.5556800.5
      Suspended circular hole0.25966000.25
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    Qingyuan Yin, Huiliang Wei, Changchun Zhang, Tingting Liu, Wenhe Liao. Effect Prediction of Stress and Deformation for Laser Additive Manufacturing of Characteristic Structure Based on Inherent Strain Method[J]. Chinese Journal of Lasers, 2022, 49(14): 1402207

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    Paper Information

    Received: Jan. 10, 2022

    Accepted: Mar. 7, 2022

    Published Online: Jun. 14, 2022

    The Author Email: Wei Huiliang (hlwei@njust.edu.cn)

    DOI:10.3788/CJL202249.1402207

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