[3] [3] CHENG L, BAI J X, TO A C. Functionally graded lattice structure topology optimization for the design of additive manufactured components with stress constraints［J］. Computer Methods in Applied Mechanics and Engineering, 2019, 344: 334-359.

[4] [4] MAHMOUD D, ELBESTAWI M. Lattice structures and functionally graded materials applications in additive manufacturing of orthopedic implants: A review［J］. Journal of Manufacturing and Materials Processing, 2017, 1(2): 13.

[5] [5] TAKEZAWA A, ZHANG X P, KITAMURA M. Optimization of an additively manufactured functionally graded lattice structure with liquid cooling considering structural performances［J］. International Journal of Heat and Mass Transfer, 2019, 143: 118564.

[9] [9] MASKERY I, ABOULKHAIR N T, AREMU A O, et al. A mechanical property evaluation of graded density Al-Si10-Mg lattice structures manufactured by selective laser melting［J］. Materials Science and Engineering: A, 2016, 670: 264-274.

[10] [10] LIMMAHAKHUN S, OLOYEDE A, SITTHISERIPRATIP K, et al. Stiffness and strength tailoring of cobalt chromium graded cellular structures for stress-shielding reduction［J］. Materials & Design, 2017, 114: 633-641.

[11] [11] YAN C Z, HAO L A, HUSSEIN A, et al. Evaluations of cellular lattice structures manufactured using selective laser melting［J］. International Journal of Machine Tools and Manufacture, 2012, 62: 32-38.

[12] [12] AMANI Y, DANCETTE S, DELROISSE P, et al. Compression behavior of lattice structures produced by selective laser melting: X-ray tomography based experimental and finite element approaches［J］. Acta Materialia, 2018, 159: 395-407.

[13] [13] LI S J, MURR L E, CHENG X Y, et al. Compression fatigue behavior of Ti-6Al-4V mesh arrays fabricated by electron beam melting［J］. Acta Materialia, 2012, 60(3): 793-802.

[14] [14] YANG L, FERRUCCI M, MERTENS R, et al. An investigation into the effect of gradients on the manufacturing fidelity of triply periodic minimal surface structures with graded density fabricated by selective laser melting［J］. Journal of Materials Processing Technology, 2020, 275: 116367.

[15] [15] AL-KETAN O, ROWSHAN R, ABU AL-RUB R K. Topology-mechanical property relationship of 3D printed strut, skeletal, and sheet based periodic metallic cellular materials［J］. Additive Manufacturing, 2018, 19: 167-183.

[16] [16] LIU Y J, REN D C, LI S J, et al. Enhanced fatigue characteristics of a topology-optimized porous titanium structure produced by selective laser melting［J］. Additive Manufacturing, 2020, 32: 101060.

[17] [17] XIAO Z F, YANG Y Q, XIAO R, et al. Evaluation of topology-optimized lattice structures manufactured via selective laser melting［J］. Materials & Design, 2018, 143: 27-37.

[18] [18] ZHANG M K, YANG Y Q, WANG D, et al. Effect of heat treatment on the microstructure and mechanical properties of Ti6Al4V gradient structures manufactured by selective laser melting［J］. Materials Science and Engineering: A, 2018, 736: 288-297.

[19] [19] YANG L, MERTENS R, FERRUCCI M, et al. Continuous graded Gyroid cellular structures fabricated by selective laser melting: Design, manufacturing and mechanical properties［J］. Materials & Design, 2019, 162: 394-404.

[20] [20] CHOY S Y, SUN C N, LEONG K F, et al. Compressive properties of functionally graded lattice structures manufactured by selective laser melting［J］. Materials & Design, 2017, 131: 112-120.

[21] [21] ZHANG L, FEIH S, DAYNES S, et al. Energy absorption characteristics of metallic triply periodic minimal surface sheet structures under compressive loading［J］. Additive Manufacturing, 2018, 23: 505-515.

[22] [22] GIBSON L J, ASHBY M F. Cellular solids: Structure and properties［M］. 2nd ed. Cambridge: Cambridge University Press, 1997.