Abstract
We investigate some mathematical and numerical methods based on asymptotic expansions for the modeling of bonding interfaces in the presence of linear coupled multiphysics phenomena. After reviewing new recently proposed imperfect contact conditions Serpilli et al. (2019), we present some numerical examples designed to show the efficiency of the proposed methodology. The examples are framed within two different multiphysics theories, piezoelectricity and thermo- mechanical coupling. The numerical investigations are based on a finite element approach generalizing to multiphysics problems the procedure developed in Dumont et al. (2018a)
Highlights
The design of composite materials and structures is nowadays characterized by an increasing level of complexity regarding their heterogeneous morphology and constitution in order to attain more reliable and multi-functional performances in extreme environments
Numerical Results: The Applied Electric Potentials The FEM discretization is carried out using P1 finite elements, with 6552 nodes (27187 degrees of freedom) for the three-phases problem and 5824 nodes (24275 degrees of freedom) for the problem with the generalized interface law
The validity of multiphysic interface transmission conditions as an approximated model of a thin multiphysic thin layer has been discussed through numerical examples
Summary
The design of composite materials and structures is nowadays characterized by an increasing level of complexity regarding their heterogeneous morphology and constitution in order to attain more reliable and multi-functional performances in extreme environments. Even though advances have been made in the understanding of the mechanical behavior of composite materials, their synergistic response in a multi-physical environment is not yet fully understood. Composites as well as bonded structures are obtained by joining different parts with highly contrasted mechanical properties to compose a unique assembly. The bonded joint may generally be imperfect and discontinuities in the involved physical fields can arise, drastically changing the overall mechanical response (see, e.g., Gu and He, 2011; Gu et al, 2014; Javili et al, 2014). In order to take into account general multiphysic interactions among various physical behaviors, such as elasticity, magneto-electricity, thermal conduction, the constituents are made of general linear multiphysic materials
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