Multiscale Modeling with Applications to High Temperature Pressure Sensing

• Other Authors: Woerner, Peter Christopher (author)
• Format: Others
• Language: English; English
• Published: Florida State University
• Subjects: Mechanical engineering
• Online Access: http://purl.flvc.org/fsu/fd/2018_Fall_Woerner_fsu_0071E_14880

Computational material modeling has a history supporting of engineering applications. This dissertation presents two focal areas of research. The first is modeling and characterizing ultrafast laser machining of sapphire. A three dimensional model of laser machining is presented as an extension to a previously published one dimensional model. The bulk of the work focuses on finite element modeling of nanoindetation of laser machined and pristine sapphire specimen in order to quantify material differences due to laser machining. Discussions on generalized plasticity and finite element modeling are including before presenting results, As the second focal point, this dissertation presents applications of network theory to atomistic material models. A novel method of representing materials as weighted graphs is developed. We believe this approach extends the use of networks beyond their traditional use in chemistry. Within the weighted network approach we show that spectral sparsification is an excellent tool that reduces complex force interactions while maintaining minimal errors. The results are shown to be particularly useful for approximating long range potentials. We also present preliminary work which suggest the network based approach may be suitable for detecting defects and developing macroscale consitutive laws. === A Dissertation submitted to the Department of Mechanical Engineering in partial fulfillment of the requirements for the degree of Doctorate of Philosophy. === Fall Semester 2018. === November 13, 2018. === finite element, high temperature materials, molecular dynamics, multiscale modeling, sensing === Includes bibliographical references. === William Oates, Professor Directing Thesis; Kyle Gallivan, University Representative; Kunihiko Taira, Committee Member; Shangchao Lin, Committee Member; Jose Mendoza-Cortes, Committee Member.