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Hyper-Elastic Triply Periodic Minimal Surfaces Design: Engineering Mechanics and Properties

This research investigates the development and characterization of mechanical properties in two materials, employing triply periodic minimal surfaces (TPMS) at varying relative densities. The primary focus is on the design of TPMS structures to emulate the biomechanics of the heel pad, guided by equiaxed cells and Cartesian mapping. To achieve the desired densities and understand their influence on mechanical properties, solid-void boundary equations, volume preservation techniques, and cell wall ramping were utilized to create gradient models. Mechanical behavior was rigorously assessed through both uniaxial and cyclic compression testing, including responses under repetitive loading conditions. A key aspect of the study involved the examination of different TPMS cell shapes and their impact on mechanical properties. The results reveal that the 50A material within the specified density range effectively approximates the desired stiffness of the heel pad, albeit with some deviations from Ashby-Gibson model predictions. Among the TPMS structures, diamond configurations exhibited the highest stiffness and energy absorption, while Split-P, Lidinoid, and Gyroid structures demonstrated intermediate performance. Schwarz structures exhibited the lowest performance metrics. These findings underscore the potential of additively manufactured TPMS structures in diverse applications, including biomechanics, orthopedic prosthetics, energy absorption, protective equipment for impact mitigation, flexible soft robotics, and the creation of tailored materials with minimal waste. The research contributes to the field of engineering mechanics and properties of hyper-elastic TPMS designs, opening up avenues for innovative applications across various domains.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc2332550
Date05 1900
CreatorsHaney, Christopher Willard
ContributorsSiller, Hector, Xiao, Xinyi, Shi, Sheldon, D'Souza, Nandika, Jiang, Yijie, Rodriguez, Ciro
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
FormatText
RightsPublic, Haney, Christopher Willard, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved.

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