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The Hot Optimal Transportation Meshfree (HOTM) Method for Extreme Multi-physics Problems

Wang, Hao
http://orcid.org/0000-0003-4048-0718
http://rave.ohiolink.edu/etdc/view?acc_num=case1607533458323004

Abstract Details

2021, Doctor of Philosophy, Case Western Reserve University, EMC - Aerospace Engineering.
We present an incremental Lagrangian framework based on meshfree methods, the Hot Optimal Transportation Meshfree (HOTM) method, for a robust and efficient solution of the dynamic response of materials in extreme multi-physics problems, possibly involving strongly coupled thermomechanical conditions, extremely large deformation, phase transition, and multi-phase mixing. The HOTM method combines the Optimal Transportation Meshfree (OTM) method and the variational thermomechanical constitutive updates. The variational structure of a dynamic system with general internal dissipative mechanisms is discretized in time by applying the Optimal Transportation theory, while the material points sampling approach and Local Maximum Entropy approximation are introduced for spatial discretization. Meanwhile, a phase-aware constitutive model is proposed to describe the material behavior with general dissipation mechanisms, which involves elasticity, plasticity, viscosity, and phase transition. The fully discretized mechanical balance equations and thermal balance equations are solved using an operator splitting algorithm to predict the deformation, temperature, and internal state variables of the material. The convergence of the computational framework is studied in a three-dimensional transient heat conduction problem, while the accuracy of the HOTM method is validated in the example of upsetting a metallic billet. The scope and robustness of the HOTM method are demonstrated in the application of hot pressing manufacturing processes of resin-based friction composites and an emerging additive manufacturing process called laser cladding technology.
Bo Li (Committee Chair)
Ya-Ting Tseng Liao (Committee Member)
Chirag Kharangate (Committee Member)
Xiong Yu (Committee Member)
183 p.
Aerospace Engineering; Mechanical Engineering; Mechanics
Thermomechanical coupling; Meshfree methods; HOTM method; Extremely large deformation; Phase transition; Additive manufacturing; Multi-phase flow in porous media

Recommended Citations

Citations

  • Wang, H. (2021). The Hot Optimal Transportation Meshfree (HOTM) Method for Extreme Multi-physics Problems [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1607533458323004

    APA Style (7th edition)

  • Wang, Hao. The Hot Optimal Transportation Meshfree (HOTM) Method for Extreme Multi-physics Problems. 2021. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1607533458323004.

    MLA Style (8th edition)

  • Wang, Hao. "The Hot Optimal Transportation Meshfree (HOTM) Method for Extreme Multi-physics Problems." Doctoral dissertation, Case Western Reserve University, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=case1607533458323004

    Chicago Manual of Style (17th edition)

case1607533458323004
57
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This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.