Triply Periodic Minimal Surface Lattices by Selective Laser Melting Additive Manufacturing presents the design, manufacturing, microstructure, mechanical properties and applications of TPMS structures fabricated by selective laser additive manufacturing technology. The title explains these complex and useful structures based on systematic work in the UK and China. Sections introduce structure design methods, assess TPMS structures, explain mathematical their modeling, present the manufacturing, microstructure, mechanical and fatigue properties of metal uniform TPMS structures, discuss manufacturing and mechanical responses for functionally graded TPMS structures, give numerical analysis methods for predicting the mechanics of uniform and functionally graded TPMS structures, and more. Presents the state-of-the art in triply periodic minimal surface (TPMS) structures by surface laser melting (SLM) Describes how to assess manufacturability of TPMS structures by additive manufacturing (AM) Analyzes the mechanical properties of TPMS structures through experimental and numerical methods Details topology optimization for pore size Gives fatigue fracture mechanics for TPMS structures