This paper presents the boundary element-based study of the two-dimensional plane
strain and antiplane problems involving composite systems with the Gurtin–Murdoch
interfaces of varying curvatures. Reliable benchmarks are established by comparing
the solutions with the corresponding solutions for the problems involving thin
interphase layers of membrane type. The comparison with a few available numerical
results for the Gurtin–Murdoch interfaces is also performed. The details of the
developed boundary element techniques are discussed. They involve treatment
of nearly singular integrals that appear in the problems with interphase
layers. The developed technique is used to study the combined effects of
curvature variation and residual surface tension on the local fields in composite
systems.
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