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Non-destructive Estimation of Spatially Varying Material Properties and Inclusions in 3 D Objects
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dulikravich, George S. |
| Copyright Year | 2017 |
| Abstract | In many practical problems, physical properties of the material of an arbitrarily shaped threedimensional object varies spatially, that is, throughout that object. Non-destructive methods that require strictly boundary measurements of the field variables to determine parameters defining the spatial distribution of the physical property of the material within the domain are needed. A methodology for nondestructive, accelerated inverse estimation of spatially varying material properties using only boundary measurements is presented. With advances in additive manufacturing, it is now possible to create threedimensional objects that feature spatially varying thermo-physical properties. For example, when applied to the thermal diffusion problems, it can be stated as: For a specified temperature/heat flux distribution on the boundaries of a solid object, what should be the spatial variation of thermal conductivity in this domain that will create such temperature/heat flux distribution at the boundaries? The spatial distribution of diffusion coefficient in 3D solid object is determined by minimizing the sum of the least-squares difference between measured and calculated values. The forward problem is solved using the finite volume and finite element methods, both of which were compared against analytical solution. The inverse problem was solved using an optimization technique to minimize the normalized sum of the least-square errors. The non-destructive estimation was accelerated by the use of surrogate models to solve the forward problem. The presented methodology is applied to measurements containing varying levels of noise. In addition, this inverse method can be used to detect the location, size and shape of a subdomain within a solid object and material property of the subdomain material. The material properties such as thermal conductivity, electric permittivity, magnetic permeability, and concentration diffusivity, influence the spatial variation of the field quantities such as temperature, electric field potential, magnetic field potential, diffusion of non-reacting particles in a solid. These field problems can be modeled by an elliptic partial differential equation governing the steady-state diffusion of the field variable f =f(x,y,z) where l = l(x,y,z) is the diffusion coefficient. Using this mathematical model, the question to answer becomes: Using the boundary values of the field function, f , or its normal |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://hbcumi.gatech.edu/sites/default/files/FIU_Capabilities.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
