INTEGRAL EQUATIONS OF PLANE THERMOMECHANICAL PROBLEMS FOR BIMATERIAL BODIES WITH IMPERFECT CONTACT BETWEEN COMPONENTS MADE OF MULTIFIELD MATERIALS
DOI:
https://doi.org/10.15407/dopovidi2025.03.033Keywords:
integral equation, pyroelectric, pyromagnetic, thermoelastic quasicrystal, plane problem, imperfect contact, bimaterial.Abstract
A matrix-vector approach based on the generalized Stroh formalism is proposed for modeling plane thermome- chanical problems in bimaterial bodies. Using this approach, integral formulas and equations are derived for mod- eling bimaterial bodies composed of materials with coupled physical fields, such as pyroelectrics, thermomagneto- electroelastic media, and thermoelastic quasicrystals. Special attention is paid to the influence of imperfect contact at the internal material interface. The integral formulas and equations obtained to describe the state of two-compo- nent bodies made of multifield materials account for imperfect thermal and magneto-electro-mechanical contact at the interfacial surface, while avoiding singular integrals along the interface. This allows for analytical research of piecewise homogeneous bodies and a reduces the number of degrees of freedom in a discretized problem, while maintaining sufficient accuracy in numerical solutions.
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