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SHAPE IDENTIFICATION ANALYSIS OF CAVITY IN RESIN STRUCTURE BASED ON THERMAL NONDESTRUCTIVE TESTING METHOD

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ECCOMAS Congress 2016 VII European Congress on Computational Methods in Applied Sciences and Engineering M. Papadrakakis, V. Papadopoulos, G. Stefanou (eds.) Crete Island, Greece, 5–10 June 2016

SHAPE IDENTIFICATION ANALYSIS OF CAVITY

IN RESIN STRUCTURE BASED ON THERMAL NONDESTRUCTIVE TESTING METHOD

K. Maruoka1, T. Kutahashi2, and T. Iyama3

1 Kotaro Maruoka

Graduate School of Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka, Niigata, Japan

e-mail: [email protected]

2 Takahiko Kurahashi

Nagaoka University of technology, 1603-1 Kamitomioka, Nagaoka, Niigata, Japan

e-mail: [email protected]

3 Tetsuro Iyama

Nagaoka National College of Technology, 888 Nishikatakai, Nagaoka, Niigata, Japan

e-mail: [email protected]

Keywords: Shape estimation analysis, Thermal nondestructive testing method, Heat conduc- tion analysis, Finite element method

Abstract. The shape estimation analysis is carried out to obtain the unknown defects shape in the structure based on the finite element and the adjoint variable methods. In this study, the test piece including the known defect shape is employed to solve the shape estimation problem.

In addition, we present the shape estimation problem of cavity in resin test piece made by 3D printer using the observed temperature on the test piece surface. It is known that the tempera- ture on top of the test piece is not uniformly distributed, if there are cavities in the test piece.

Furthermore, according to practical experiment, it has been confirmed that the characteristic of the temperature distribution depends on cavities size. The thermal physical constants, i.e., the thermal conductivity and the convection coefficient, are identified for the model of the test piece including a cavity based on the experimental data, and the shape estimation analysis is carried out. In the numerical analysis, the finite element method is applied to simulate the temperature distribution in the test piece, and the adjoint variable method is employed to es- timate the cavity shape.

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