Abstract
The transient heat transfer within a layered structure can be modeled efficiently using the thermal quadrupole methods. Such numerical simulations would contribute to effective experimental design for thermography inspection applications of composite materials. Current research is part of such effort that focuses on the parametric study on both a two-layer model and a four-layer model. The variation of amplitude curves agrees with the lateral position of the interfacial discontinuity in general. The sudden increase in the phase value distinctively indicates the end point of the same discontinuity. Hence the lateral location of an embedded interfacial discontinuity can be readily identified from the Laplace surface temperature. The layer thickness does not have significant effect on the general trend observed in the parametric analysis presented in this work. The advantage of the numerical modeling of layered structures using thermal quadrupoles lies in that thermal quadrupoles can be easily extended to multiple layers containing internal anomaly between different layers.
Highlights
Fiber reinforced polymer composite materials (GFRP or CFRP) have widespread use in both fabrication of light-weight components and repair of damaged engineering structures
The advantage of the numerical modeling of layered structures using thermal quadrupoles lies in that thermal quadrupoles can be extended to multiple layers containing internal anomaly between different layers
More advanced nondestructive inspection (NDI) techniques such as ultrasonic scanning and X-ray computed tomography are sometimes applied to the damage assessment of CFRP components
Summary
Fiber reinforced polymer composite materials (GFRP or CFRP) have widespread use in both fabrication of light-weight components and repair of damaged engineering structures. Composite structural elements under variable loading could produce heat due to thermal expansion effect and change of stress state The former heating effect is likely caused by the irreversible thermoelastic plastic deformation. The subsequent re-distribution of thermal stress field would act as internal heat sources that dissipate energy to the surface Such inhomogeneous surface temperature may be detected by passive thermography. The transient heat transfer within a layered structure can be modeled using a variety of numerical techniques, such as finite difference methods, finite element analysis and thermal quadrupole methods. The solutions to the heat equations are expressed as linear matrices that allow numerical results be obtained more efficiently than finite element analysis This is very appealing when experimental design requires simulations of the multi-layered structures such as CFRP components (Winfree et al, 2018). The simulated results for both the two-layer and four-layer models will be presented, followed by discussions and concluding remarks
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