Skip to Main Content
 

Global Search Box

 
 
 
 

Files

ETD Abstract Container

Abstract Header

Unified Continuum Modeling of Fully Coupled Thermo-Electro-Magneto-Mechanical Behavior, with Applications to Multifunctional Materials and Structures

Santapuri, Sushma

Abstract Details

2012, Doctor of Philosophy, Ohio State University, Mechanical Engineering.

Multifunctional structures based on active or smart materials are being implemented in a wide range of aerospace, infrastructural, automotive, and biomedical applications. However, smart materials are underutilized in these applications, as majority of the modeling and characterization techniques of smart materials limit the understanding of material behavior to low-signal, small-deformation ranges of operation, or regimes where only a subset of the thermal, electrical, magnetic, and mechanical interactions are dominant. By modeling smart materials in their fully coupled, nonlinear, three-dimensional, multiphysics process domain rather than in a specific regime of behavior, design of the next-generation of load-carrying smart structures with superior performance capabilities can be enabled.

This dissertation focuses on development of a first-principle based theoretical framework for modeling and characterization of fully coupled thermo-electro-magneto-mechanical behavior in a multiphysics process domain, that can be utilized to (i) develop constitutive models and free energy functions for a broad range of smart materials using the fundamentals of equilibrium and non-equilibrium thermodynamics, (ii) develop asymptotic models for design and analysis of load-bearing antenna, which is a multifunctional actuating and receiving device integrated with a load-bearing structure.

Part (i) focuses on development of a unifying thermodynamic framework for multifunctional materials with fully coupled thermo-electro-magneto-mechanical response. This framework consists of a comprehensive catalogue of all possible state variables, thermodynamic potentials, and state equations that characterizes TEMM processes. This unifying framework applicable to a general polarizable, magnetizable and deformable media, is then utilized to develop material response functions for a wide range of materials, i.e., (i) elastic, lossless dielectric, piezoelectric materials (approximately reversible), (ii) ferroic materials exhibiting dissipation, (iii) materials exhibiting transport properties.

The second part of this dissertation is focused on development of mathematical models that will enable the design and analysis of multifunctional structures like load-bearing antennas. Existing models for smart material based applications assume quasi-static electric or magnetic fields, which is not an accurate assumption for high frequency based antenna applications. In order to model the dynamic electromagnetic behavior coupled with the structural behavior of load-bearing antennas, a two-dimensional plate theory for coupled electro-magneto-mechanical plates is developed in high frequency electromagnetic field regime. Simulations are performed for a prototype design of the load-bearing antenna structure consisting of regular dielectric-honeycomb sandwich structure and the results are compared to suggest improvements in load-bearing antenna designs. The mathematical framework presented here is fairly general and can be used to model a broad range of materials and devices.

Stephen Bechtel, PhD (Advisor)
Marcelo Dapino, PhD (Advisor)
Rama Yedavalli, PhD (Committee Member)
Joseph Heremans, PhD (Committee Member)
169 p.

Recommended Citations

Citations

  • Santapuri, S. (2012). Unified Continuum Modeling of Fully Coupled Thermo-Electro-Magneto-Mechanical Behavior, with Applications to Multifunctional Materials and Structures [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1354726155

    APA Style (7th edition)

  • Santapuri, Sushma. Unified Continuum Modeling of Fully Coupled Thermo-Electro-Magneto-Mechanical Behavior, with Applications to Multifunctional Materials and Structures. 2012. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1354726155.

    MLA Style (8th edition)

  • Santapuri, Sushma. "Unified Continuum Modeling of Fully Coupled Thermo-Electro-Magneto-Mechanical Behavior, with Applications to Multifunctional Materials and Structures." Doctoral dissertation, Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1354726155

    Chicago Manual of Style (17th edition)